% location.bib % A small bibliography on locational analysis. % Author: J\"org Fliege % Timestamp: 19/January/1998 @ARTICLE(AhMaOr:91, AUTHOR = {Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin}, TITLE = {Some {R}ecent {A}dvances in {N}etwork {F}lows}, JOURNAL = {SIAM Review}, YEAR = 1991, VOLUME = 33, NUMBER = 2, PAGES = {175--219}, MONTH = {June}, NOTE = {Also published as~\cite{AhMaOr:93}} ) @BOOK(AhMaOr:93, AUTHOR = {Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin}, TITLE = {Network Flows; Theory, Algorithms, and Applications}, YEAR = 1993, PUBLISHER = {Prentice Hall}, ADDRESS = {Englewood Cliffs, New Jersey} ) @ARTICLE(Albert:40, AUTHOR = {G.~E. Albert}, TITLE = {A note on quasimetric spaces}, JOURNAL = {Bulletin of the American Mathematical Society}, YEAR = 1940, VOLUME = 47, PAGES = {479--482} ) @ARTICLE(Andersen:96, AUTHOR = {Knud D. Andersen}, TITLE = {An efficient {N}ewton barrier method for minimizing a sum of {E}uclidean norms}, JOURNAL = {SIAM Journal of Optimization}, YEAR = 1996, VOLUME = 6, NUMBER = 1, PAGES = {74--95}, MONTH = {February} ) @TECHREPORT(AnCh:95a, AUTHOR = {Knud D.~Andersen and Edmund Christiansen}, TITLE = {A {N}ewton {B}arrier method for {M}inimizing a {S}um of {E}uclidean {N}orms subject to linear equality constraints}, INSTITUTION = {Odense University}, YEAR = 1995, TYPE = {Preprint}, NUMBER = {95-07}, ADDRESS = {Department of Mathematics and Computer Science, Odense University, Denmark}, MONTH = {February~13}, NOTE = {Electronically distributed as \verb!ftp://ftp.imada.ou.dk/pub/papers/preprints95/preprint-95-07.ps.gz!} ) @UNPUBLISHED(AnCh:95b, AUTHOR = {Knud D.~Andersen and Edmund Christiansen}, TITLE = {A symmetric {P}rimal-{D}ual {N}ewton method for {M}inimizing a {S}um of {N}orms}, MONTH = {April~11}, YEAR = 1995, NOTE = {Electronically distributed as \verb!ftp://info.mcs.anl.gov/pub/tech_reports/ip/pdsn.ps.Z!} ) @UNPUBLISHED(AnChOv:94, AUTHOR = {Knud D.~Andersen and Edmund Christiansen and Michael L.~Overton}, TITLE = {Computing limit loads by minimizing a sum of norms}, NOTE = {Unpublished}, MONTH = {October~17}, YEAR = 1994 ) @ARTICLE(AnPa:94, TITLE = {Algorithms for weber facility location in the presence of forbidden regions and/or barriers to travel}, AUTHOR = {Y. P. Aneja and M. Parlar}, JOURNAL = {Transportation Science}, YEAR = 1994, VOLUME = 28, PAGES = {70--76} ) @ARTICLE(Armijo:66, AUTHOR = {Larry Armijo}, TITLE = {Minimization of functions having {L}ipschitz continuous first partial derivatives}, JOURNAL = {Pacific Journal of Mathematics}, YEAR = 1966, VOLUME = 16, NUMBER = 1, PAGES = {1--3} ) @BOOK(Atkinson:78, AUTHOR = {Kendall E. Atkinson}, TITLE = {An introduction to numerical analysis}, PUBLISHER = {John Wiley {\&} Sons}, YEAR = 1978, ADDRESS = {New York, Chichester, Brisbane, Toronto}, ) @ARTICLE(Avellaetal:98, AUTHOR = {P[asquale] Avella and S[tefano] Benati and L[{\'a}zaro] C{\'a}novas Martinez and K[evin] Dalby and D[onatella] Di~Girolamo and B[ranka] Dimitrijevic and G[ianpaolo] Ghiani and I[oannis] Giannikos and N[ili] Guttmann and T[im] H[elge] Hultberg and J[{\"o}rg] Fliege and A[lfredo] Marin and M[anuel] Mu{\~n}os M{\'a}rques and M[alick] M[ody] Ndiaye and S[tefan~R.]~Nickel and P[eter~H.]~Peeters and D[ionisio] P{\'e}rez Brito and S[ilvia] Policastro and F[rancisco] A[lexandre]~Saldanha de Gama and P[ietro] Zidda}, TITLE = {Some personal views on the current state and future of {L}ocational {A}nalysis}, JOURNAL = {European Journal of Operations Research}, VOLUME = 104, NUMBER = 2, PAGES = {269--287}, MONTH = {January~16}, YEAR = 1998, NOTE = {Feature Issue. Twelveth EURO Summer Institute: Locational Analysis. Guest Editor: J[aime] Barcel{\'o}. Also published as Report in Wirtschaftsmathematik, No.~4. Fachbereich Mathematik, Universit{\"a}t Kaiserslautern, Germany.} ) @ARTICLE(Ballou:68, AUTHOR = {R. Ballou}, TITLE = {Dynamic {W}arehouse {L}ocation {A}nalysis}, JOURNAL = {Journal of Marketing Research}, YEAR = 1968, VOLUME = 5, PAGES = {271--276} ) @Article{BaL88, author = "Rajan Batta and Lloyd A. Leifer", title = "On the accuracy of demand point solutions to the planar, Manhattan metric, p-median problem, with and without barriers to travel", journal = "Computers and Operations Research", year = 1988, volume = 3, pages = "253-262" } @article{Beguin79, author = {{Beguin}, H. and {Thisse}, J. F.}, title = "An Axiomatic Approach to Geographical Space", journal = {Geographical Analysis }, volume = 11, pages = "325--341", year = 1979 } @ARTICLE(Benson:79, AUTHOR = {Harold P.~Benson}, TITLE = {An {I}mproved {D}efinition of {P}roper {E}fficiency for {V}ector {M}aximization with {R}espect to {C}ones}, JOURNAL = JOMAA, YEAR = 1979, VOLUME = 71, PAGES = {232--241} ) @ARTICLE(Berens:88, AUTHOR = {Wolfgang Berens}, TITLE = {The suitability of the weighted $l_p$-norm in estimating actual road distances}, JOURNAL = EJOR, YEAR = 1988, VOLUME = 34, PAGES = {39-43} ) @Article{BK85, author = "Wolfgang Berens and Franz-Josef K{\"o}rling", title = "Estimating road distances by mathematical functions", journal = "European Journal of Operational Research", year = 1985, volume = 21, pages = "54-56" } @Article{BK88, author = "Wolfgang Berens and Franz-Josef K{\"o}rling", title = "On estimating road distances by mathematical functions --- a rejoinder", journal = "European Journal of Operational Research", year = 1988, volume = 36, pages = "254-255" } @BOOK(Berge:63, AUTHOR = {Claude Berge}, TITLE = {Topological Spaces}, PUBLISHER = {Oliver {\&} Boyd}, YEAR = 1963, ADDRESS = {Edinburgh, London} ) @BOOK(BeGuHo:65, AUTHOR = {Claude Berge and A[lain] Ghuila-Houri}, TITLE = {Programming, Games and Transportation Networks}, PUBLISHER = {Wiley}, YEAR = 1965, ADDRESS = {New York} ) @BOOK(BeGuHo:69, AUTHOR = {C[laude] Berge and A[lain] Ghuila-Houri}, TITLE = {Programme, Spiele, Transportnetze}, PUBLISHER = {B. G. Teubner Verlagsgesellschaft}, YEAR = 1969, ADDRESS = {Leipzig}, NOTE = {2. verbesserte Auflage} ) @BOOK(Beutelspacher:91, AUTHOR = {Albrecht Beutelspacher}, TITLE = {,,Das ist o.~B.~d.~A. trivial''}, PUBLISHER = VI, YEAR = 1991, ADDRESS = {Braunschweig, Wiesbaden}, ) @BOOK(Bourbaki:64, AUTHOR = {N.~Bourbaki}, TITLE = {Topologie G{\'e}nerale}, PUBLISHER = {Hermann}, YEAR = 1964, VOLUME = {Livre~III}, SERIES = {{\'E}l{\'e}mente des Math{\'e}matique, Premi{\`e}r Partie, Les Structures Fondamentales de l'Analyse}, ADDRESS = {115 Boulevard Saint-Germain, Paris~VI} ) @ARTICLE(BrCh:89, AUTHOR = {M.~L.~Brandeau and S.~S.~Chiu}, TITLE = {An overview of representative problems in location research}, JOURNAL = MS, YEAR = 1989, VOLUME = 35, PAGES = {645--675} ) @Article{BDL94, author = "Jack Brimberg and Paul D. Dowling and R. F. Love", title = "The weighted one-two norm distance model: Empirical validation and confidence interval estimation", journal = "Location Science", year = 1994, volume = 2, pages = "91-100" } @Article{BaL91, author = "J. Brimberg and R. F. Love", title = "Estimating travel distances by the weighted $l_p$-norm", journal = "Naval Research Logistics", year = 1991, volume = 38, pages = "241-259" } @article{Brimberg92, author = {{Brimberg}, J. and {Love}, R. F.}, title = "A new distance function for modeling travel distances in a transportation network", journal = {Transportation science}, volume = 26, pages = "129--137", month = May, year = 1992 } @ARTICLE(BrLo:93, AUTHOR = {Jack Brimberg and Robert F.~Love}, TITLE = {Directional bias of the $l_p$-Norm}, JOURNAL = EJOR, YEAR = 1993, VOLUME = 67, PAGES = {287--294} ) @INCOLLECTION(BrLo:95, AUTHOR = {Jack Brimberg and Robert F.~Love}, TITLE = {Estimating Distances}, PUBLISHER = {Springer-Verlag}, YEAR = 1995, EDITOR = {Zvi Drezner}, SERIES = {Springer {S}eries in {O}perations {R}esearch}, CHAPTER = {1}, PAGES = {9--32}, CROSSREF = {Drezner:95} ) @BOOK(Brondsted:83, AUTHOR = {Arne Br{\o}ndsted}, TITLE = {An Introduction to Convex Polytopes}, PUBLISHER = SP, YEAR = 1983, ADDRESS = {New York} ) @Book{BaH90, author = "Fred Buckley and Frank Harary", title = "Distance in graphs", publisher = "Addison-Wesley Publishing Company", year = 1990 } @ARTICLE(Bull:88, AUTHOR = {Hans-Ulrich Bull}, TITLE = {Axiomatic considerations in multi-objective location theory}, JOURNAL = EJOR, YEAR = 1988, VOLUME = 32, PAGES = {363--367} ) @ARTICLE(Burdet:74, AUTHOR = {Claude-Alain Burdet}, TITLE = {Generating all the faces of a polyhedron}, JOURNAL = {SIAM Journal of Applied Mathematics}, YEAR = 1974, VOLUME = 26, NUMBER = 3, PAGES = {479--489}, MONTH = {Mai} ) @ARTICLE(CaCh:80, AUTHOR = {Paul Calamai and Christakis Charalambous}, TITLE = {Solving multifacility problems involving {E}uclidean distances}, JOURNAL = {Naval Research Logistics Quarterly}, YEAR = 1980, VOLUME = 27, PAGES = {609--620} ) @ARTICLE(CaCo:80b, AUTHOR = {P.~H.~Calamai and A.~R.~Conn}, TITLE = {A stable algorithm for solving the multifacility location problem involving {E}uclidean distances}, JOURNAL = {SIAM Journal on Scientific and Statistical Computing}, YEAR = 1980, VOLUME = 1, PAGES = {512--526} ) @INPROCEEDINGS(CaCo:82, AUTHOR = {P[aul] H. Calamai and A[ndrew] R. Conn}, TITLE = {A second order method for solving the continuous multifacility location problem}, BOOKTITLE = {Numerical Analysis: Proceedings of the Ninth Biennal Conference, Dundee, Scotland}, YEAR = 1982, EDITOR = {G.~A.~Watson}, NUMBER = 912, SERIES = {Lecture Notes in Mathematics}, PAGES = {1--25}, ADDRESS = {Berlin, Heidelberg, New York} ) @ARTICLE(CaCo:87, AUTHOR = {Paul H. Calamai and Andrew R. Conn}, TITLE = {A projected {N}ewton method for $l_p$ norm location problems}, JOURNAL = MAPRO, YEAR = 1987, VOLUME = 38, PAGES = {75--109} ) @UNPUBLISHED(CaPl:95, AUTHOR = {Emilio Carrizosa and Frank Plastria}, TITLE = {Locating an {U}ndesirable {F}acility by {G}eneralized {C}utting {P}lanes}, YEAR = 1995, MONTH = {June~13}, NOTE = {Accepted for \emph{Mathematics of Operations Research}} ) @ARTICLE(CaRo:97, AUTHOR = {Emilio Carrizosa and Antonio M.~Rodr{\'\i}guez-Ch{\'\i}a}, TITLE = {{W}eber problem with alternative transportation systems}, JOURNAL = EJOR, YEAR = 1997, VOLUME = 97, NUMBER = 1, MONTH = {February~16}, PAGES = {87--93} ) @BOOK(Cech:66, AUTHOR = {Eduard {\v{C}}ech}, TITLE = {Topological Spaces}, PUBLISHER = {Interscience Publishers, a division of John Wiley \& Sons}, YEAR = 1966, ADDRESS = {London, New York, Sidney}, NOTE = {Revidiert von Zden{\v{e}}k Frol{\'\i}k und Miroslav Kat{\v{e}}tov} ) @ARTICLE(ChFrKo:80, AUTHOR = {L.~G.~Chalmet and R.~L.~Francis and A.~Kohen}, TITLE = {Finding efficient solutions for rectilinear distance location problem efficiently}, JOURNAL = EJOR, YEAR = 1980, VOLUME = 6, PAGES = {117--124} ) @ARTICLE(ChTa:89, AUTHOR = {P.~Chandrasekharan and A.~Tamir}, TITLE = {Open questions concerning {W}eizsfeld's algorithm for the {F}ermat-{W}eber problem}, JOURNAL = MAPRO, YEAR = 1989, VOLUME = 44, PAGES = {293--295} ) @ARTICLE(ChHeLo:78, AUTHOR = {J. A. Chatelon and D. W. Hearn and T. J. Lowe}, TITLE = {A subgradient algorithm for certain minimax and minisum problems}, JOURNAL = MAPRO, YEAR = 1978, VOLUME = 15, PAGES = {130--145} ) @ARTICLE(ChHeLo:82, AUTHOR = {J.~A.~Chatelon and D.~W.~Hearn and T.~J.~Lowe}, TITLE = {A {S}ubgradient {A}lgorithm for certain {M}inimax and {M}inisum {L}ocation {P}roblems: the {C}onstrained {C}ase}, JOURNAL = {SIAM Journal on Control and Optimization}, YEAR = 1982, VOLUME = 20, PAGES = {455--469} ) @TECHREPORT(ChHaJaTu:91:rep, AUTHOR = {P[ey]-C[hun] Chen and P[ierre] Hansen and B[rigitte] Jaumard and H[oang] Tuy}, TITLE = {Weber's problem with attraction and repulsion}, INSTITUTION = {RUTCOR, The State University of New Jersey}, YEAR = 1991, TYPE = {Research Report}, NUMBER = {62--91}, ADDRESS = {State University of New Jersey, Rutgers, PO Box 5062, New Brunswick, NJ 08903--5062}, NOTE = {Published as~\cite{ChHaJaTu:92}} ) @ARTICLE(ChHaJaTu:92, AUTHOR = {Pey-Chun Chen and Pierre Hansen and Brigitte Jaumard and Hoang Tuy}, TITLE = {Weber's Problem with Attraction and Repulsion}, JOURNAL = {Journal of Regional Science}, YEAR = 1992, VOLUME = 32, NUMBER = 4, PAGES = {467--486} ) @TECHREPORT(ChHaJaTu:94, AUTHOR = {Pey-Chun Chen and Pierre Hansen and Brigitte Jaumard and Hoang Tuy}, TITLE = {Solution of the {M}ultisource {W}eber and {C}onditional {W}eber {P}roblems by {D}.-{C}. {P}rogramming}, INSTITUTION = {{\'E}cole Polytechnique}, YEAR = 1992, TYPE = {Les Cahiers du GERAD / Groupe d'{\'e}tudes et de recherche en analyse des d{\'e}cisions}, NUMBER = {G--92--35}, ADDRESS = {Montreal, Quebec}, MONTH = {September}, NOTE = {Revised: March 1994} ) @ARTICLE(CoMi:97, AUTHOR = {R[oberto] Cominetti and C[hristian] Michelot}, TITLE = {Sufficient conditions for coincidence in $\ell_1$-minisum multifacility location problems}, JOURNAL = {Operations Research Letters}, YEAR = 1997, VOLUME = 20, PAGES = {179--185}, NOTE = {Received 1~July 1995; revised 1~August 1996} ) @UNPUBLISHED(CoOv:94, AUTHOR = {Andrew R.~Conn and Michael L.~Overton}, TITLE = {A {P}rimal-{D}ual {I}nterior {P}oint {M}ethod for {M}inimizing a {S}um of {E}uclidean {D}istances}, NOTE = {Unpublished}, MONTH = {July~20}, YEAR = 1994 ) @ARTICLE(Cooper:63, AUTHOR = {L. Cooper}, TITLE = {Location-allocation problems}, JOURNAL = OR, YEAR = 1963, VOLUME = 11, PAGES = {331--343} ) @BOOK(CoBhLe:77, AUTHOR = {Leon Cooper and U.~Narayan Bhat and Larry J.~LeBlanc}, TITLE = {Introduction to Operations Research Models}, PUBLISHER = {W.~B.~Saunders Company}, ADDRESS = {Philadelphia, London, Toronto}, YEAR = 1977 ) @ARTICLE(CoFi:78, AUTHOR = {F. Cordellier and J. Ch. Fiorot}, TITLE = {On the {F}ermat-{W}eber problem with convex cost functions}, JOURNAL = MAPRO, YEAR = 1978, VOLUME = 14, PAGES = {295--311} ) @BOOK(DaLuRi:88, AUTHOR = {Dal Cin, Mario and Lutz, Joachim and Risse, Thomas}, TITLE = {Programmierung in Modula-2}, PUBLISHER = TE, YEAR = 1988, VOLUME = 100, SERIES = TE # { Studienskripten: Informatik}, ADDRESS = {Stuttgart}, EDITION = {Dritte} ) @ARTICLE(Dax:86:opt, AUTHOR = {Achiya Dax}, TITLE = {A note on {O}ptimality {C}onditions for the {E}uclidean {M}ultifacility {L}ocation {P}roblems}, JOURNAL = MAPRO, YEAR = 1986, VOLUME = 36, PAGES = {72--80} ) @ARTICLE(Dax:86:eff, AUTHOR = {Achiya Dax}, TITLE = {An {E}fficient {A}lgorithm for {S}olving {R}ectilinear {M}ultifacility {L}ocation {P}roblems}, JOURNAL = {IMA Journal of Numerical Analysis}, YEAR = 1986, VOLUME = 6, PAGES = {343--355} ) @ARTICLE(DeSt:83, AUTHOR = {Ron S.~Dembo and Trond Steihaug}, TITLE = {Truncated-{N}ewton {A}lgorithms for {L}arge-{S}cale {U}nconstrained {O}ptimization }, JOURNAL = {Mathematical Programming}, YEAR = 1983, VOLUME = 26, PAGES = {190--212} ) @BOOK(DeHo:93, AUTHOR = {P.~Deuflhard and A.~Hohmann}, TITLE = {Numerische {M}athemati{k~I}}, PUBLISHER = {de Gruyter}, YEAR = 1993, SERIES = {Lehrbuch} ) @TECHREPORT(DeGrLa:90, AUTHOR = {M. Deza and M. Gr{\"o}tschel and M. Laurent}, TITLE = {Complete {D}escription of {S}mall {M}ulticut {P}olytopes}, INSTITUTION = {Universit{\"a}t Augsburg}, YEAR = 1990, TYPE = {Report}, NUMBER = {217}, ADDRESS = {Institut f{\"u}r Mathematik, Universit{\"a}tsstra{\"s}e 8, D-8900 Augsburg}, NOTE = {Schwerpunktprogramm der Deutschen Forschungsgemeinschaft: Anwendungsbezogene Optimierung und Steuerung} ) @BOOK(Domschke:81, AUTHOR = {Wolfgang Domschke}, TITLE = {Logistik: {T}ransport}, PUBLISHER = {Oldenbourg}, YEAR = 1981, SERIES = {Oldenbourgs Lehr- und Handb{\"u}cher der Wirtschafts- und Sozialwissenschaften}, ADDRESS = {R. Oldenbourg Verlag, Rosenheimer Str. 145, 8000 M{\"u}nchen 80}, NOTE = {Band 1 der Reihe ,,Logistik''} ) @BOOK(Domschke:82, AUTHOR = {Wolfgang Domschke}, TITLE = {Logistik: {R}undreisen und {T}ouren}, PUBLISHER = {Oldenbourg}, YEAR = 1982, SERIES = {Oldenbourgs Lehr- und Handb{\"u}cher der Wirtschafts- und Sozialwissenschaften}, ADDRESS = {R. Oldenbourg Verlag, Rosenheimer Str. 145, 8000 M{\"u}nchen 80}, NOTE = {Band 2 der Reihe ,,Logistik''} ) @BOOK(DoDr:90, AUTHOR = {Wolfgang Domschke and Andreas Drexl}, TITLE = {Logistik: {S}tandorte}, PUBLISHER = {Oldenbourg}, YEAR = 1990, SERIES = {Oldenbourgs Lehr- und Handb{\"u}cher der Wirtschafts- und Sozialwissenschaften}, ADDRESS = {R. Oldenbourg Verlag, Rosenheimer Str. 145, 8000 M{\"u}nchen 80}, EDITION = {dritte, erg{\"a}nzte}, NOTE = {Band 3 der Reihe ,,Logistik''}, ) @ARTICLE(Drezner:89, AUTHOR = {Z[vi] Drezner}, TITLE = {Stochastic analysis of the {W}eber problem on the sphere}, JOURNAL = JORS, YEAR = 1989, VOLUME = 40, PAGES = {1137--1144} ) @ARTICLE(DrWe:80:, AUTHOR = {Z. Drezner and G. O. Wesolowsky}, TITLE = {Single facility $l_p$-distance minimax location}, JOURNAL = {SIAM Journal of algebraic and discrete Methods}, YEAR = 1980, VOLUME = 1, NUMBER = 3, PAGES = {315--321}, MONTH = {September} ) @ARTICLE(DreStWe:85, AUTHOR = {Z[vi] Drezner and Steiner and [G. O.] Wesolowsky}, TITLE = {One-facility location with rectilinear tour distances}, JOURNAL = {Naval Research Logistics Quartely}, YEAR = 1985, VOLUME = 32, PAGES = {391--405} ) @ARTICLE(DrWe:78:minisum, AUTHOR = {Z[vi] Drezner and G. O. Wesolowsky}, TITLE = {A trajectory method for the optimization of the multifacility location problem}, JOURNAL = MS, YEAR = 1978, VOLUME = 24, PAGES = {1507--1514} ) @ARTICLE(DrWe:78:minimax, AUTHOR = {Z[vi] Drezner and G.~O.~Wesolowsky}, TITLE = {A new method for the multifacility minimax location problem}, JOURNAL = JORS, YEAR = 1978, VOLUME = 29, PAGES = {1095--1101} ) @ARTICLE(DrWe:89, AUTHOR = {[Zvi] Drezner and [G.~O.] Wesolowsky}, TITLE = {The asymmetric distance location problem}, JOURNAL = TS, YEAR = 1989, VOLUME = 23, PAGES = {261--207} ) @ARTICLE(DrWe:91:neg, AUTHOR = {Zvi Drezner and George O. Wesolowsky}, TITLE = {The {W}eber problem on the plane with some negative weights}, JOURNAL = {INFOR}, YEAR = 1991, VOLUME = 29, NUMBER = 2, PAGES = {87--99}, MONTH = {May} ) @ARTICLE(DrWe:91:time, AUTHOR = {Zvi Drezner and G.~O.~Wesolowsky}, TITLE = {Facility location when demand is time dependent}, JOURNAL = {Naval Research Logistics}, YEAR = 1991, VOLUME = 38, NUMBER = 5, PAGES = {763--777} ) @article{Durier85, author = {{Durier}, R. }, title = "Geometrical properties of the Fermat-Weber problem", journal = {European Journal of Operational Research }, volume = 20, page = "332--342", year = 1985 } @article{Durier86, author = {{Durier}, R. and {Michelot}, C.}, title = "Set of efficients points in a normed space", journal = {Journal of Mathematical Analysis and applications}, volume = 117, pages = "506--528", year = 1986 } a@ARTICLE(Durier:87, AUTHOR = {Roland Durier}, TITLE = {Meilleure approximation en norme vectorielle et th{\'e}orie de la localisation}, JOURNAL = {Mathematical Modelling and Numerical Analysis}, YEAR = 1987, VOLUME = 21, NUMBER = 4, PAGES = {605--626} ) @ARTICLE(Durier:89:majrule, AUTHOR = {R[oland] Durier}, TITLE = {Continuous location theory under majority rule}, JOURNAL = {Mathematics of Operation Research}, YEAR = 1989, VOLUME = 14, NUMBER = 2, PAGES = {258--274}, MONTH = {May} ) @ARTICLE(Durier:90:pareto, AUTHOR = {Roland Durier}, TITLE = {On {P}areto Optima, the {F}ermat-{W}eber problem, and polyhedral gauges}, JOURNAL = MAPRO, YEAR = 1990, VOLUME = 47, PAGES = {65--79} ) @ARTICLE(Durier:88, AUTHOR = {R[oland] Durier}, TITLE = {Weighting {F}actor {R}esults in {V}ector {O}ptimization}, JOURNAL = JOTA, YEAR = 1988, VOLUME = 58, NUMBER = 3, PAGES = {411--430}, MONTH = {September} ) @ARTICLE(DuMi:86, AUTHOR = {Roland Durier and Christian Michelot}, TITLE = {Sets of {E}fficient Points in a {N}ormed {S}pace}, JOURNAL = JOMAA, YEAR = 1986, VOLUME = 117, PAGES = {506--528} ) @ARTICLE(DuMi:85, AUTHOR = {Roland Durier and Christian Michelot}, TITLE = {Geometrical properties of the {F}ermat-{W}eber problem}, JOURNAL = EJOR, YEAR = 1985, VOLUME = 20, PAGES = {332--343} ) @ARTICLE(DyPr:77, AUTHOR = {M.~E.~Dyer and L.~G.~Proll}, TITLE = {An algorithm for determining all extreme points of a convex polytope}, JOURNAL = MAPRO, YEAR = 1977, VOLUME = 12, PAGES = {81--96} ) @ARTICLE(DyPr:82, AUTHOR = {M.~E.~Dyer and L.~G.~Proll}, TITLE = {An improved vertex enumeration algorithm}, JOURNAL = EJOR, YEAR = 1982, VOLUME = 9, PAGES = {359--368} ) @ARTICLE(Eckhardt:80, AUTHOR = {U.~Eckhardt}, TITLE = {Webers problem and {W}eizsfelds algorithm in general spaces}, JOURNAL = MAPRO, YEAR = 1980, VOLUME = 18, PAGES = {186--196} ) @ARTICLE(EdKa:72, AUTHOR = {J.~Edmonds and R.~M.~Karp}, TITLE = {Theoretical improvements in algorithmic efficiency for network flow problems}, JOURNAL = {Journal of the Association of Computing Machinery}, YEAR = 1972, VOLUME = 19, PAGES = {248--262} ) @ARTICLE(EiLa:89, AUTHOR = {H. A. Eiselt and G. Laporte}, TITLE = {Competitive spatial models}, JOURNAL = EJOR, YEAR = 1989, VOLUME = 39, PAGES = {231--242} ) @INCOLLECTION(EiLa:95, AUTHOR = {H.~A.~Eiselt and Gilbert Laporte}, TITLE = {Objectives in {L}ocation {P}roblems}, BOOKTITLE = {Facility {L}ocation: {A} {S}urvey of {A}pplications and {M}ethods}, PUBLISHER = {Springer Verlag}, YEAR = 1995, EDITOR = {Zvi Drezner}, SERIES = {Springer {S}eries in {O}perations {R}esearch}, CHAPTER = {8}, PAGES = {151--180}, CROSSREF = {Drezner:95} ) @ARTICLE(ElHe:72, AUTHOR = {J.~Elzinga and D.~W.~Hearn}, TITLE = {Geometrical solutions for some minimax location problems}, JOURNAL = TS, YEAR = 1972, VOLUME = 6, PAGES = {329--394} ) @ARTICLE(ErNe:89, AUTHOR = {Erhan Erkut and Susan Newman}, TITLE = {Analytical models for locating undesirable facilities}, JOURNAL = EJOR, YEAR = 1989, VOLUME = 40, PAGES = {275--291} ) @TECHREPORT(Ertl:96, AUTHOR = {Gerhard Ertl}, TITLE = {Shortest Path Calculation in Large Road Networks}, INSTITUTION = {Spezialforschungsbereich F~003 (Optimierung und Kontrolle), Projektbereich Diskrete Optimierung}, YEAR = 1996, TYPE = {Bericht}, NUMBER = 69, ADDRESS = {Karl-Franzens-Universit{\"a}t Graz \& Technische Universit{\"a}t Graz}, MONTH = {Mai}, NOTE = {Electronically distributed via {\tt http://www.opt.math.tu-graz.ac.at/cgi-bin/replist}} ) @ARTICLE(EyWhWi:73, AUTHOR = {J.~W.~Eyster and J.~A.~White and W.~W.~Wierwille}, TITLE = {On {S}olving {M}ultifacility {L}ocation {P}roblems {U}sing a {H}yperboloid {A}pproximation {P}rocedure}, JOURNAL = {AIIE Transactions}, YEAR = 1973, VOLUME = 5, PAGES = {1--6} ) @MASTERSTHESIS(Fajfar:96, AUTHOR = {Andrej Fajfar}, TITLE = {{V}erbesserung von {S}chnittebenenverfahren zur {L}{\"o}sung von {M}inisum-{M}ultilokationsproblemen}, SCHOOL = {Universit{\"a}t Dortmund}, YEAR = 1996, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221 Dortmund}, MONTH = {M{\"a}rz}, TYPE = {{D}iplomarbeit} ) @BOOK(Falconer:90, AUTHOR = {Kenneth J. Falconer}, TITLE = {Fractal geometry}, PUBLISHER = {John Wiley \& Sons Ltd.}, YEAR = 1990, ADDRESS = {Chichester, West Sussex, England}, ) @BOOK(Fermat, AUTHOR = {Pierre de Fermat}, TITLE = {{\OE}uvres des Fermat}, PUBLISHER = {Paul Tannery und Charles Henry}, YEAR = 1891, VOLUME = {1}, ADDRESS = {Paris} ) @BOOK(FiMc:68, AUTHOR = {Anthony V. Fiacco and Garth P. McCormick}, TITLE = {Nonlinear {P}rogramming: {S}equential {U}nconstrained {M}inimization {T}echniques}, PUBLISHER = {John Wiley and Sons, Inc.}, YEAR = 1968, ADDRESS = {New York, London, Sidney, Toronto} ) @Article{FaW78, author = "R. A. Fildes and J. B. Westwood", title = "The development of linear distance functions for distribution analysis", journal = "Journal of the Operational Research Society", year = 1978, volume = 29, pages = "585--592" } @BOOK(Fischer:86, AUTHOR = {Gerd Fischer}, TITLE = {Lineare Algebra}, PUBLISHER = VI, YEAR = 1986, VOLUME = 17, SERIES = {Vieweg-Studium: Grundkurs Mathematik}, ADDRESS = {Braunschweig, Wiesbaden}, EDITION = {Neunte} ) @BOOK(FiLi:88, AUTHOR = {Wolfgang Fischer and Ingo Lieb}, TITLE = {Funktionentheorie}, PUBLISHER = VI, YEAR = 1988, VOLUME = 47, SERIES = {Vieweg-Studium: Aufbaukurs Mathematik}, ADDRESS = {Braunschweig, Wiesbaden}, EDITION = {F{\"u}nfte} ) @BOOK(Fletcher:80, AUTHOR = {Roger Fletcher}, TITLE = {{P}ractical {M}ethods of {O}ptimization}, PUBLISHER = {John Wiley \& Sons}, YEAR = 1980, VOLUME = {1: {U}nconstrained {O}ptimization}, ADDRESS = {Chichester, New York, Brisbane, Toronto} ) @MASTERSTHESIS(Fliege:93, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Nichtdiskrete {M}ultilokationsprobleme: {K}oinzidenzbedingungen und effiziente {P}unkte}, SCHOOL = {Universit{\"a}t Dortmund}, YEAR = 1993, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221 Dortmund, Germany}, MONTH = {February}, TYPE = {{D}iplomarbeit} ) @TECHREPORT(Fliege:95a, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Some {N}ew {C}oincidence {C}onditions in {M}inisum {M}ultifacility {L}ocation {P}roblems with {M}ixed {G}auges}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1995, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = 125, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {January}, NOTE = {Published as \cite{Fliege:94}}, ) @TECHREPORT(Fliege:95b, AUTHOR = {J{\"o}rg Fliege}, TITLE = {How to {D}etect {N}ondifferentiabilities and to {R}educe {D}imension in {M}inisum {M}ultifacility {L}ocation {P}roblems}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1995, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = 126, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {January}, NOTE = {Also published as~\cite{Fliege:97}}, ) @INPROCEEDINGS(Fliege:94, CROSSREF = {BoKa:94}, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Some new coincidence conditions in minisum multifacility location problems with mixed gauges}, PAGES = {49--60} ) @UNPUBLISHED(Fliege:95ESI, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Coincidence {C}onditions in {M}ultifacility {L}ocation {P}roblems with {P}ositive and {N}egative {W}eights}, NOTE = {Talk at the Twelfth EURO Summer Institute on Locational Analysis, Puerto de La Cruz, Tenerife, Spain. To be published as~\cite{Fliege:98}}, MONTH = {July}, YEAR = 1995 ) @ARTICLE(Fliege:97, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Nondifferentiability {D}etection and {D}imensionality {R}eduction in {M}inisum {M}ultifacility {L}ocation {P}roblems}, JOURNAL = JOTA, VOLUME = 94, NUMBER = 2, PAGES = {365--380}, MONTH = {August}, YEAR = 1997 ) @UNPUBLISHED(Fliege:97:ip, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Some polynomial time algorithms for multifacility location problems with mixed gauges}, MONTH = {February}, YEAR = 1997, NOTE = {Talk held at Modellierungsseminar im Rahmen von MISP (Location Planning: Theory and Application), Universit\"at Kaiserslautern, Kaiserslautern, Germany} ) @PHDTHESIS(Fliege:97:diss, AUTHOR = {J{\"o}rg Fliege}, TITLE = {{E}ffiziente {D}imensionsreduktion in {M}ultilokationsproblemen}, SCHOOL = {Universit{\"at} Dortmund}, YEAR = 1997, MONTH = {June}, ADDRESS = {Fachbereich Mathematik, Universit{\"at} Dortmund, 44221 Dortmund}, NOTE = {Shaker Verlag, Aachen, Germany (An english translation is available from the author on request)} ) @TECHREPORT(Fliege:97:note, AUTHOR = {J{\"o}rg Fliege}, TITLE = {A note on "On {P}areto optima, the {F}ermat-{W}eber problem, and polyhedral gauges"}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1997, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = 144, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {August}, NOTE = {Submitted} ) @TECHREPORT(Fliege:97:november, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Coincidence {C}onditions in {M}ultifacility {L}ocation {P}roblems with {P}ositive and {N}egative {W}eights}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1997, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = 148, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {November}, NOTE = {Published as~\cite{Fliege:98}} ) @ARTICLE(Fliege:98, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Coincidence conditions in multifacility location problems with positive and negative weights}, JOURNAL = {European Journal of Operations Research}, VOLUME = 104, NUMBER = 2, PAGES = {310--320}, MONTH = {January 16}, YEAR = 1998, NOTE = {Feature Issue. Twelveth EURO Summer Institute: Locational Analysis. Guest Editor: J[aime] Barcel{\'o}.} ) @UNPUBLISHED(Fliege:97:diss:SIAM1, AUTHOR = {J{\"o}rg Fliege}, TITLE = {Multithreaded {D}imension {R}eduction in {L}ocation {Theory~I}: {G}eneral {R}esults}, MONTH = {August}, YEAR = 1997, NOTE = {Submitted to {\em SIAM Journal on Optimization}} ) @TECHREPORT(FlMa:96, AUTHOR = {J{\"o}rg Fliege and Ulrike Maier}, TITLE = {A {T}wo-Stage {A}pproach for {C}omputing {C}ubature {F}ormulae for the {S}phere}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1995, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = {139T}, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {September} ) @INPROCEEDINGS(FlMa:97, AUTHOR = {J{\"o}rg Fliege and Ulrike Maier}, TITLE = {Charge {D}istribution of {P}oints on the {S}phere and {C}orresponding Cubature {F}ormulae}, BOOKTITLE = {Multivariate {A}pproximation ({R}ecent {T}rends and {R}esults}, YEAR = 1997, EDITOR = {Werner Hau{\ss}mann, Kurt Jetter, Manfred Reimer}, VOLUME = 101, SERIES = {Mathematical Research}, PAGES = {147--160}, PUBLISHER = {Akademie Verlag (John Wiley Group)}, ADDRESS = {Berlin} ) @TECHREPORT(FlNi:97, AUTHOR = {J{\"o}rg Fliege and Stefan Nickel}, TITLE = {An {I}nterior {P}oint {M}ehod for {M}ultifacility {L}ocation {P}roblems with {F}orbidden {R}egions}, INSTITUTION = {Universit{\"a}t Dortmund}, YEAR = 1997, TYPE = {Ergebnisberichte Angewandte Mathematik}, NUMBER = 142, ADDRESS = {Fachbereich Mathematik, Universit{\"a}t Dortmund, 44221~Dortmund, Germany}, MONTH = {March}, NOTE = {Submitted} ) @BOOK(Forster:87:1, AUTHOR = {Otto Forster}, TITLE = {Analysis 1: Differential- und Integralrechnung einer Ver{\"a}nderlichen}, PUBLISHER = VI, YEAR = 1987, VOLUME = 1, SERIES = {Vieweg-Studium: Grundkurs Mathematik}, ADDRESS = {Braunschweig, Wiesbaden}, EDITION = {Vierte} ) @BOOK(Forster:87:2, AUTHOR = {Otto Forster}, TITLE = {Analysis 2: Differential- und Integralrechnung im R$^n$. Gew{\"o}hnliche Differentialgleichungen}, PUBLISHER = VI, YEAR = 1987, VOLUME = 2, SERIES = {Vieweg-Studium: Grundkurs Mathematik}, ADDRESS = {Braunschweig, Wiesbaden}, EDITION = {F{\"u}nfte} ) @ARTICLE(FrCa:72, AUTHOR = {R[ichard] L.~Francis and A.~V.~Cabot}, TITLE = {Properties of a {M}ultifacility {L}ocation {P}roblem {I}nvolving {E}uclidean {D}istances}, JOURNAL = {Naval {R}esearch {L}ogistics {Q}uarterly}, YEAR = 1972, VOLUME = 19, PAGES = {335--353} ) @ARTICLE(FrMcWh:83, AUTHOR = {Richard L.~Francis and Leon F.~McGinnis and John A.~White}, TITLE = {Locational {A}nalysis}, JOURNAL = EJOR, YEAR = 1983, VOLUME = 12, PAGES = {220--252} ) @BOOK(FrMi:89, AUTHOR = {R[ichard] L.~Francis and P.~Mirchandani}, TITLE = {Discrete location theory}, PUBLISHER = {Wiley}, YEAR = 1989, ADDRESS = {New York} ) @BOOK(FraWhi:74, AUTHOR = {R. L. Francis and J. A. White}, TITLE = {Facility Layout and Location: An Analytical Approach}, PUBLISHER = {Prentice Hall}, YEAR = 1974, ADDRESS = {Englewood Cliffs, New Jersey} ) @TECHREPORT(FrKL:94, AUTHOR = {J.~B.~G. Frenk and M.~J.~Kleijn}, TITLE = {On {M}iehle«s {A}lgorithm and the {P}erturbed ${\cal\symbol{76}}_p$-distance {M}ultifacility {L}ocation {P}roblem}, INSTITUTION = {Tinbergen Institute}, YEAR = 1994, TYPE = {discussion paper}, NUMBER = {TI~94--54}, ADDRESS = {Tinbergen Institute Rotterdam, Oostmaaslaan~950--952, 3063~DM Rotterdam, The Netherlands} ) @TECHREPORT(FrGrZh:94, AUTHOR = {J.~B.~G.~Frenk and J.~Gromicho and S.~Zhang}, TITLE = {Quasiconvex {F}unctions: how to separate, if you must!}, INSTITUTION = {Tinbergen Institute}, YEAR = 1994, TYPE = {discussion paper}, NUMBER = {TI~94--59}, ADDRESS = {Tinbergen Institute Rotterdam, Oostmaaslaan~950--952, 3063~DM Rotterdam, The Netherlands}, NOTE = {Submitted to \emph{Mathematics of Operations Research}} ) @TECHREPORT(FrKl:94:a, AUTHOR = {J.~B.~G.~Frenk and M.~J.~Kleijn}, TITLE = {On {M}iehle's {A}lgorithm and the {P}erturbed ${\cal\char76}_p$-distance {M}ultifacility {L}ocation {P}roblem}, INSTITUTION = {Tinbergen Institute}, ADDRESS = {Tinbergen Institute Rotterdam, Oostmaaslaan 950--952, 3063~DM Rotterdam, The Netherlands}, YEAR = 1994, TYPE = {Discussion paper}, NUMBER = {TI~94--54} ) @MISC(Frenk:96, AUTHOR = {J.~B.~G.~Frenk}, HOWPUBLISHED = {Course notes on Location Theory}, YEAR = 1996 ) @TECHREPORT(FrKl:94:b, AUTHOR = {J.~B.~G.~Frenk and M.~J.~Kleijn}, TITLE = {On a {C}lass of {A}lgorithms solving the {M}ultifacility {L}ocation {P}roblem with {P}erturbed $L_p$-distances}, INSTITUTION = {Tinbergen Institute}, ADDRESS = {Tinbergen Institute Rotterdam, Oostmaaslaan 950--952, 3063~DM Rotterdam, The Netherlands}, YEAR = 1994, TYPE = {Discussion paper}, NUMBER = {TI~94--74} ) @ARTICLE(FrMeZh:94, AUTHOR = {J. B. G. Frenk and M. T. Melo and S. Zhang}, TITLE = {The {W}eiszfeld method in single facility location}, JOURNAL = {Investiga\c{c}{\~a}o Operacional}, YEAR = 1994, VOLUME = 14, NUMBER = 1, MONTH = {June}, PAGES = {35--59} ) @ARTICLE(GaGoSt:94, AUTHOR = {Walter Gander and Gene H.~Golub and Rolf Strebel}, TITLE = {Least-squares fitting of circles and ellipses}, JOURNAL = {BIT}, VOLUME = 34, YEAR = 1994, PAGES = {558--578} ) @BOOK(Gatrell:83, AUTHOR = {Anthony C.~Gatrell}, TITLE = {Distance and Space}, PUBLISHER = {Clarendon Press}, ADDRESS = {Oxford}, YEAR = 1983, SERIES = {Contemporary Problems in Geography} ) @ARTICLE(Geoffrion:76, AUTHOR = {Arthur M.~Geoffrion}, TITLE = {The purpose of mathematical programming is insight, not numbers}, JOURNAL = {Interfaces}, YEAR = 1976, VOLUME = 7, NUMBER = 1, PAGES = {81--92}, MONTH = {November} ) @ARTICLE(Geoffrion:68, AUTHOR = {Arthur M. ~Geoffrion}, TITLE = {Proper {E}fficiency and the {T}heory of {V}ector {M}aximization}, JOURNAL = JOMAA, YEAR = 1968, VOLUME = 22, PAGES = {618--630} ) @TECHREPORT(GeGa:92, AUTHOR = {Ferdinand Geue and Tomas Gal}, TITLE = {Vertex {E}numeration by {M}eans of the {$N$-T}ree {A}lgorithm}, INSTITUTION = {Fernuniversit{\"a}t Gesamthochschule Hagen}, YEAR = 1992, TYPE = {Diskussionsbeitrag}, NUMBER = {187}, ADDRESS = {FernUniversit{\"a}t Gesamthochschule Hagen, 5800 Hagen}, MONTH = {Mai}, NOTE = {Diskussionsbeitrag des Fachbereichs Wirtschaftswissenschaft der Fernuniversit{\"a}t Hagen} ) @BOOK(Gibbons:85, AUTHOR = {Alan Gibbons}, TITLE = {Algorithmic graph theory}, PUBLISHER = {Cambridge University Press}, YEAR = 1985, ADDRESS = {Cambridge, London, New York, New Rochelle, Melbourne, Sidney} ) @ARTICLE(GiMu:74, AUTHOR = {P.~E.~Gill and W.~Murray}, TITLE = {Newton-type methods for unconstrained and linearly constrained optimization}, JOURNAL = {Mathematical Programming}, YEAR = 1974, VOLUME = 7, PAGES = {311--350} ) @BOOK(GiMuWr:95, AUTHOR = {Philip E.~Gill and Walter Murray and Margaret H.~Wright}, TITLE = {Practical optimization}, PUBLISHER = {Academic Press Limited, Harcourt Brace and Company}, YEAR = 1995, ADDRESS = {London} ) @ARTICLE(Goldengorin:86, AUTHOR = {Gol'dengorin}, TITLE = {Decomposition of the location problem}, JOURNAL = {Autom. Remote Control}, YEAR = 1986, VOLUME = 47, PAGES = {668--677} ) @BOOK(GoLo:91, AUTHOR = {Gene H.~Golub and Charles F.~van Loan}, TITLE = {Matrix Computations}, PUBLISHER = {The Johns Hopkins University Press}, YEAR = 1991, SERIES = {Johns Hopkins Series in the Mathematical Sciences}, ADDRESS = {Baltimore and London}, EDITION = {second} ) @BOOK(GoLo:96, AUTHOR = {Gene H.~Golub and Charles F.~van Loan}, TITLE = {Matrix Computations}, PUBLISHER = {The Johns Hopkins University Press}, YEAR = 1996, SERIES = {Johns Hopkins Series in the Mathematical Sciences}, ADDRESS = {Baltimore and London}, EDITION = {third} ) @BOOK(Grieb:91, AUTHOR = {Wolfgang Grieb}, TITLE = {Schreibtips f{\"u}r Diplomanden udn Doktorranden}, PUBLISHER = {vde-Verlag}, YEAR = 1991, ADDRESS = {Berlin, Offenbach}, ) @TECHREPORT(GrKl:90, AUTHOR = {P[eter] Gritzmann and V[ictor] Klee}, TITLE = {Computational {C}omplexity of {I}nner and {O}uter $j$-{R}adii of {P}olytopes in {F}inite-{D}imensional {N}ormed {S}paces}, INSTITUTION = {Universit{\"a}t Augsburg}, YEAR = 1990, TYPE = {Report}, NUMBER = {222}, ADDRESS = {Institut f{\"u}r Mathematik, Universit{\"a}tsstra{\"s}e 8, D-8900 Augsburg}, NOTE = {Schwerpunktprogramm der Deutschen Forschungsgemeinschaft ,,Anwendungsbezogene Optimierung und Steuerung''} ) @BOOK(GrTe:93, AUTHOR = {Christian Gro{\ss}mann and Johannes Terno}, TITLE = {Numerik der Optimierung}, PUBLISHER = {Teubner}, YEAR = 1993, SERIES = {Teubner Studienb{\"u}cher: Mathematik}, ADDRESS = {Stuttgart} ) @BOOK(Grunbaum:67, AUTHOR = {Branko Gr{\"u}nbaum}, ED = {R[ichard] Courant and C.~Bers and J.~J.~Stoker}, TITLE = {Convex polytopes}, PUBLISHER = {Interscience Publishers, John Wiley {\&} Sons}, YEAR = 1967, VOLUME = {XVI}, SERIES = {Pure and Applied Mathematics}, ADDRESS = {London, New York, Sydney} ) @ARTICLE(GuGi:91, AUTHOR = {Antonio Guccione and William J.~Gillen}, TITLE = {An economic interpretation of {K}uhn's dual for the {S}teiner-{W}eber problem: a note}, JOURNAL = {Journal of Regional Science}, YEAR = 1991, VOLUME = 31, NUMBER = 1, PAGES = {93--95} ) @ARTICLE(Gunarwadane:82, AUTHOR = {G. Gunarwadane}, TITLE = {Dynamic versions of set covering type public facility location problems}, JOURNAL = EJOR, YEAR = 1982, VOLUME = 24, PAGES = {190--195} ) @BOOK(Hackenbroch:87, AUTHOR = {Wolfgang Hackenbroch}, TITLE = {Integrationstheorie: eine Einf{\"u}hrung in die Integrationstheorie und ihre Anwendungen}, PUBLISHER = TE, YEAR = 1987, SERIES = {Teubner Studienb{\"u}cher: Mathematik}, ADDRESS = {Stuttgart}, ) @ARTICLE(Hakimi:83, AUTHOR = {S. Louis Hakimi}, TITLE = {On locating new facilities in a competitive environment}, JOURNAL = EJOR, YEAR = 1983, VOLUME = 12, PAGES = {29--35} ) @TECHREPORT(HaNi:92, AUTHOR = {Horst W. Hamacher and Stefan Nickel}, TITLE = {Restricted planar location problems and applications}, INSTITUTION = {Universit{\"a}t Kaiserslautern}, YEAR = 1992, TYPE = {Preprint}, NUMBER = {227}, ADDRESS = {Fachbereich Mathematik, Erwin-Schr{\"o}dinger-Strasse, D-6750 Kaiserslautern}, MONTH = {Juli}, NOTE = {Submitted to ONR} ) @TECHREPORT(HaNi:93, AUTHOR = {Horst W. Hamacher and Stefan Nickel}, TITLE = {Multicriterial planar location problems}, INSTITUTION = {Universit{\"a}t Kaiserslautern}, YEAR = 1993, TYPE = {Preprint}, NUMBER = {243}, ADDRESS = {Fachbereich Mathematik, Erwin-Schr{\"o}dinger-Strasse, D-6750 Kaiserslautern}, MONTH = {August} ) @BOOK(Hamming:62, AUTHOR = {Richard W. Hamming}, TITLE = {Numerical methods for scientists and engineers}, PUBLISHER = {McGraw-Hill Book Company Inc.}, YEAR = 1962, SERIES = {International series in pure and applied mathematics}, ADDRESS = {New York, San Francisco, Toronto, London, Tokyo} ) @ARTICLE(HaPeTh:80, AUTHOR = {P.~Hansen and J.~Perreur and J.-F.~Thisse}, TITLE = {Location {T}heory, {D}ominance, and {C}onvexity: {S}ome {F}urther {R}esults}, JOURNAL = OR, YEAR = 1980, VOLUME = 28, NUMBER = 5, PAGES = {1241--1250}, MONTH = {September--October} ) @MANUAL(Hanson:91, TITLE = {MIT Scheme User's Manual}, AUTHOR = {Chris Hanson}, ORGANIZATION = {Massachussetts Institute of Technology}, EDITION = {0.9}, YEAR = 1991 ) @BOOK(Harary68, AUTHOR = {{Harary}, F. and {Norman}, R.Z. and {Cartwright}, D.}, TITLE = "Introdution \'a la th\'eorie des graphes orient\'es", PUBLISHER = {Dunod}, YEAR = 1968 ) @BOOK(Hausdorff:14, AUTHOR = {Felix Hausdorff}, TITLE = {Grundz{\"u}ge der Mengenlehre}, PUBLISHER = {Chelsea Publishing Company}, YEAR = 1965, ADDRESS = {New York}, NOTE = {Nachdruck der ersten Ausgabe (Berlin, 1914)} ) @BOOK(Hestenes:66, AUTHOR = {Magnus R.~Hestenes}, ED = {I.~S. Sokolnikoff}, TITLE = {Calculus of variations and optimal control theory}, PUBLISHER = {John Wiley {\&} Sons}, YEAR = 1966, SERIES = {Applied Mathematics Series}, ADDRESS = {New York, London, Sydney} ) @BOOK(Heuser:86:1, AUTHOR = {Harro Heuser}, ED = {G. K{\"o}the and K.-D. Bierstedt and G. Trautmann}, TITLE = {Lehrbuch der Analysis}, PUBLISHER = TE, YEAR = 1986, VOLUME = 1, SERIES = {Mathematische Leitf{\"a}den}, ADDRESS = {Stuttgart}, EDITION = {Vierte}, CROSSREF = {Heuser:86:2}, ) @BOOK(Heuser:86:2, AUTHOR = {Harro Heuser}, ED = {G. K{\"o}the and K.-D. Bierstedt and G. Trautmann}, TITLE = {Lehrbuch der Analysis}, PUBLISHER = TE, YEAR = 1986, VOLUME = 2, SERIES = {Mathematische Leitf{\"a}den}, ADDRESS = {Stuttgart}, EDITION = {Zweite} ) @BOOK(Heuser:89, AUTHOR = {Harro Heuser}, ED = {G. K{\"o}the and K.-D. Bierstedt and G. Trautmann}, TITLE = {Gew{\"o}hnliche Differentialgleichungen: Einf{\"u}hrung in Lehre und Gebrauch}, PUBLISHER = TE, YEAR = 1989, SERIES = {Mathematische Leitf{\"a}den}, ADDRESS = {Stuttgart}, ) @BOOK(Hildenbrand:74, AUTHOR = {Werner Hildenbrand}, TITLE = {Core and Equilibria of a large Economy}, PUBLISHER = {Princeton University Press}, YEAR = 1974, ADDRESS = {Princeton, New Jersey} ) @BOOK(HoUl:90, AUTHOR = {John E. Hopcroft and Jeffrey D. Ullman}, TITLE = {Einf{\"u}hrung in die Automatentheorie, formale Sprachen und Komplexit{\"a}tstheorie}, PUBLISHER = {Addison Wesley}, YEAR = 1992, ADDRESS = {Bonn, M{\"u}nchen, Reading, Massachussetts and other}, EDITION = {Zweite} ) @ARTICLE(HoWoHo:87, AUTHOR = {M.~John Hodgson and Richard T.~Wong and John Honsaker}, TITLE = {The $p$-centroid problem on an inclined plane}, JOURNAL = OR, YEAR = 1987, VOLUME = 35, NUMBER = 2, PAGES = {221--233}, MONTH = {March--April} ) @article{Huriot86, author = {{Huriot}, J. M. and {Thisse}, J. F.}, title = "Distance in spatial analasis, an axiomatic approach", journal = {in: actes du symposium ``Analyse de syst\`emes et mod\'eles math\'ematiques''}, pages = "223--228", year = 1986 } @INPROCEEDINGS(IdLeMi:89, AUTHOR = {H.~Idrissi and O[dile] Lefebvre and C[hristian] Michelot}, TITLE = {Applications and numerical convergence of the Partial Inverse Method}, BOOKTITLE = {Optimization --- Fifth French-German Conference}, YEAR = 1989, NUMBER = 1405, SERIES = {Lecture Notes in Mathematics}, PAGES = {39--54}, PUBLISHER = SP ) @INPROCEEDINGS(IdLeMi:89:minisum, CROSSREF = {LoLaTh:89}, AUTHOR = {H.~Idrissi and O[dile] Lefebvre and C[hristian] Michelot}, TITLE = {Duality for constrained multifacility location problems with mixed norms and applications}, PAGES = {71--92}, ) @ARTICLE(JaBoNaPo:91, AUTHOR = {Richard H.~F.~Jackson and Paul T.~Boggs and Stephen G.~Nash and Susan Powell}, TITLE = {Guidelines for reporting results of computational experiments. Report of the ad hoc comittee}, JOURNAL = {Mathematical Programming}, YEAR = 1991, VOLUME = 49, PAGES = {413--425} ) @ARTICLE(JuLo:80, AUTHOR = {Henrik Juel and Robert F.~Love}, TITLE = {Sufficient conditions for {O}ptimal {F}acility {L}ocations to {C}oincide}, JOURNAL = TS, YEAR = 1980, VOLUME = 14, NUMBER = 2, PAGES = {125--129}, MONTH = {May} ) @ARTICLE(JuLo:81, AUTHOR = {Henrik Juel and Robert F.~Love}, TITLE = {On the {D}ual of the {L}inearly {C}onstrained {M}ultifacility {L}ocation {P}roblem with {A}rbitrary {N}orms}, JOURNAL = TS, YEAR = 1981, VOLUME = 15, NUMBER = 4, PAGES = {329--337}, MONTH = {November} ) @ARTICLE(JuLo:76, AUTHOR = {H. Juel and R. F. Love}, TITLE = {An {E}fficient {C}omputational {P}rocedure for {S}olving the {M}ultifacility {R}ectilinear {F}acilities {L}ocation {P}roblem}, JOURNAL = {Operation Research Quartely}, YEAR = 1976, VOLUME = 27, PAGES = {697--703} ) @ARTICLE(JuLo:85, AUTHOR = {H. Juel and R. F. Love}, TITLE = {Then {F}acility {L}ocation {P}roblem with {H}yper-{R}ectilinear {D}istances}, JOURNAL = {IIE Transactions}, YEAR = 1985, VOLUME = 17, PAGES = {94--98} ) @TECHREPORT(KaeNi:96, AUTHOR = {Stefan Nickel and Barbara K{\"a}fer}, TITLE = {Error bounds for approximative solution of restricted planar location problems}, INSTITUTION = {Fachbereich Mathematik, Universit{\"a}t Kaiserslautern}, YEAR = 1996, TYPE = {Report in Wirtschaftsmathematik}, NUMBER = 17, MONTH = {April 30} ) @ARTICLE(Karkazis:90, AUTHOR = {John Karkazis}, TITLE = {Facilities location in a competitive environment: {A} {P}romethee based multiple criteria analysis}, JOURNAL = EJOR, YEAR = 1990, VOLUME = 49, PAGES = {295--304} ) @ARTICLE(Katz:74, AUTHOR = {I. N. Katz}, TITLE = {Local convergence in {F}ermats {P}roblem}, JOURNAL = MAPRO, YEAR = 1974, VOLUME = 6, PAGES = {89--104} ) @ARTICLE(KaCo:81, AUTHOR = {I.~Norman Katz and Leon Cooper}, TITLE = {Facility location in the presence of forbidden regions, {I}: {F}ormulation and the case of {E}uclidean distance with one forbidden circle}, JOURNAL = EJOR, YEAR = 1981, VOLUME = 6, PAGES = {166--173}, ) @book{Kaufmann68, author = {{Kaufmann}, A.}, title = "M\'ethodes et mod\`eles de la recherche op\'erationelle", publisher = {Dunod, tome II}, year = 1968 } @ARTICLE(Kelley:60, AUTHOR = {J.~E.~Kelley}, TITLE = {The cutting plane methods for solving convex programs}, JOURNAL = {Journal of the Society of Industrial and Applied Mathematics}, VOLUME = 8, PAGES = {703--712}, YEAR = 1960 ) @MISC(Kl:95Passau, AUTHOR = {Kathrin Klamroth}, TITLE = {{P}lanar {L}ocation {P}roblems with {B}arriers}, HOWPUBLISHED = {Talk held at the Symposium of Operations Research (SOR'95)}, MONTH = {September}, YEAR = 1995 ) @MISC(Kl:95, AUTHOR = {Kathrin Klamroth}, TITLE = {{P}lanar {L}ocation {P}roblems with {L}ine {B}arriers}, HOWPUBLISHED = {Talk held at the 8th meeting of the European Working Group on Locational Analysis}, MONTH = {September}, YEAR = 1995 ) @MISC(Kl:93, AUTHOR = {G{\"u}nther Kl{\"u}tzke}, HOWPUBLISHED = {Private Communication}, MONTH = {February~9}, YEAR = 1993 ) @BOOK(Kopka:92, AUTHOR = {Helmut Kopka}, TITLE = {\LaTeX: eine Einf{\"u}hrung}, PUBLISHER = {Addison Wesley}, YEAR = 1992, ADDRESS = {Bonn, M{\"u}nchen, Paris and other}, EDITION = {Vierte} ) @ARTICLE(KoKu:91, AUTHOR = {Takeshi Koshizuka and Osamu Kurita}, TITLE = {Approximate formulas of average distances associated with regions and their applications to location problems}, JOURNAL = MAPRO, YEAR = 1991, VOLUME = 52, PAGES = {99--123} ) @article{Krarup80, author = {{Krarup}, J. and {Pruzan}, P. M.}, title = "The Impact of Distance on Location Problem", journal = {European Journal of Operational Research }, volume = 4, pages = "256--269", year = 1980 } @ARTICLE(KrMi:40, AUTHOR = {M. Krein and D. Milman}, TITLE = {On extreme points of regularly convex sets}, JOURNAL = {Studia Mathematica}, YEAR = 1940, VOLUME = 9, PAGES = {133--138} ) @INCOLLECTION(Kuhn:67, AUTHOR = {H. W. Kuhn}, TITLE = {On a pair of dual nonlinear programs}, BOOKTITLE = {Nonlinear programming}, PUBLISHER = {North-Holland Publishing Co.}, YEAR = 1967, EDITOR = {J[ohn] Abadie}, ADDRESS = {Amsterdam}, PAGES = {37--54} ) @ARTICLE(KuKu:62, AUTHOR = {Kuhn and Kuenne}, TITLE = {Algorithm for the Weber problem}, JOURNAL = {Journal of Regional Science}, YEAR = 1962, VOLUME = 4, PAGES = {21--33} ) @ARTICLE(Labbe:85, AUTHOR = {Martine Labb{\'e}}, TITLE = {Outcomes of voting and planning in single facility location problems}, JOURNAL = EJOR, YEAR = 1985, VOLUME = 20, PAGES = {299--313} ) @BOOK(Lang:71, AUTHOR = {Serge Lang}, TITLE = {Linear Algebra}, PUBLISHER = {Addison-Wesley Publishing Company}, YEAR = 1971, ADDRESS = {Reading, Massachusetts, Menlo Park, California, London, Sydney, Manila}, EDITION = {Zweite} ) @ARTICLE(LaSa:83, AUTHOR = {Richard C.~Larson and Ghazala Sadiq}, TITLE = {Facility {L}ocation with the {M}anhattan {M}etric in the {P}resence of {B}arriers to {T}ravel}, JOURNAL = OR, YEAR = 1983, VOLUME = 31, NUMBER = 4, MONTH = {July--August} ) @ARTICLE(LeMiPl:90, AUTHOR ={O[dile] Lefebvre and C[hristian] Michelot and F[rank] Plastria}, TITLE = {Geometric {I}nterpretation of the {O}ptimality {C}onditions in {M}ultifacility {L}ocation and {A}pplications}, JOURNAL = JOTA, YEAR = 1990, VOLUME = 65, NUMBER = 1, PAGES = {85--101}, MONTH = {April} ) @ARTICLE(LeMiPl:91:errata, AUTHOR ={O[dile] Lefebvre and C[hristian] Michelot and F[rank] Plastria}, TITLE = {ERRATA CORRIGE {G}eometric {I}nterpretation of the {O}ptimality {C}onditions in {M}ultifacility {L}ocation and {A}pplications}, JOURNAL = JOTA, YEAR = 1991, VOLUME = 68, NUMBER = 2, PAGES = {393--394}, MONTH = {February}, ) @ARTICLE(LeMiPl:91:koinz, AUTHOR ={O[dile] Lefebvre and C[hristian] Michelot and F[rank] Plastria}, TITLE = {Sufficient conditions for coincidence in minisum multifacility location problems with a general metric}, JOURNAL = OR, YEAR = 1991, VOLUME = 39, NUMBER = 3, PAGES = {437--442}, MONTH = {May--June} ) @INPROCEEDINGS(LeMiPl:92:blp, AUTHOR ={O[dile] Lefebvre and C[hristian] Michelot and F[rank] Plastria}, TITLE = {Boolean linear programming formulation of the attraction tree detection problem}, BOOKTITLE = {Proceedings of the {VI}th meeting of the {EURO} working group on locational analysis}, PAGES = {123--134}, YEAR = 1992, EDITOR = {Jos{\'e} A. Moreno P{\'e}rez}, ADDRESS = {Puerto de La Cruz (Tenerife), Spain}, MONTH = {October} ) @TECHREPORT(Leineweber:96, AUTHOR = {Daniel B.~Leineweber}, TITLE = {Analyse und {R}estrukturierung eines {V}erfahrens zur direkten {L}{\"o}sung von {O}ptimal-{S}teuerungsproblemen ({T}he {T}heory of {MUSCOD} in a {N}utshell)}, INSTITUTION = {Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen der Universit{\"a}t Heidelberg}, YEAR = 1996, TYPE = {Preprint}, NUMBER = {96 -- 19}, ADDRESS = {Heidelberg}, MONTH = {April}, NOTE = {{D}iplomarbeit} ) @ARTICLE(Love:69, AUTHOR = {R.~F.~Love}, TITLE = {Locating facilities in three-dimensional space by convex programming}, JOURNAL = {Naval Research Logistics quartely}, YEAR = 1969, VOLUME = 16, PAGES = {503--516} ) @article{love72, author = {{Love}, R. F. and {Morris}, J. G.}, title = "Modelling inter-city road distances by mathematical function", journal = {Operational Research Quarterly}, volume = 23, pages = "61--71", year = 1972 } @ARTICLE(LoMo:75, AUTHOR = {Robert F. Love and James G. Morris}, TITLE = {Solving {C}onstrained {M}ulti-{F}acility {L}ocation {P}roblems {I}nvolving {$\ell_p$} {D}istances {U}sing {C}onvex {P}rogramming}, JOURNAL = {Operations Research}, YEAR = 1975, VOLUME = 23, NUMBER = 3, PAGES = {581--587}, MONTH = {May--June} ) @article{love79, author = {{Love}, R. F. and {Morris}, J. G.}, title = "A new norm for measuring distance which yields linear location problems", journal = {Management Science}, volume = 25, pages = "130--139", year = 1979 } @article{love88, author = {{Love}, R. F. and {Morris}, J. G.}, title = "On estimating road distances by mathematical functions", journal = {European Journal of Operational Research }, volume = 36, pages = "251--253", year = 1988 } @BOOK(LoMoWe:88, AUTHOR = {Robert F.~Love and James G.~Morris and George O.~Wesolowsky}, TITLE = {Facilities location: {M}odels and methods}, PUBLISHER = {North Holland}, YEAR = 1988, NUMBER = 7, SERIES = {Publications in Operation Research Series}, ADDRESS = {Amsterdam etc.} ) @Article{LaW94, author = "R. F. Love and John H. Walker", title = "An empirical comparison of block nad round norms for modelling actual distances", journal = "Location Science", year = 1994, volume = 2, pages = "21-43" } @BOOK(Marti:77, AUTHOR = {J{\"u}rg T. Marti}, TITLE = {Konvexe Analysis}, PUBLISHER = {Birkh{\"a}user Verlag}, YEAR = 1977, VOLUME = 54, SERIES = {Mathematische Reihe, Lehrb{\"u}cher und Monographien aus dem Gebiet der exakten Wissenschaften}, ADDRESS = {Basel und Stuttgart}, EDITION = {erste} ) @INCOLLECTION(MaWi:71, AUTHOR = {R.~S.~Martin and J.~H.~Wilkinson}, TITLE = {Symmetric {D}ecomposition of {P}ositive {D}efinite {B}and {M}atrices}, BOOKTITLE = {Linear {A}lgebra}, PUBLISHER = {Springer-Verlag}, YEAR = 1971, EDITOR = {J.~H.~Wilkinson and C.~Reinsch}, NUMBER = 186, TYPE = {{H}andbook for {A}utomatic {C}omputation}, SERIES = {Die {G}rundlehren der mathematischen {W}issenschaften}, CHAPTER = {I/4}, PAGES = {50--56}, ADDRESS = {Berlin, Heidelberg, New York}, NOTE = {Also published in {\em Numerische Mathematik}, {\bf 7}, 355--361 (1965)}, CROSSREF = {WiRe:71} ) @BOOK(Mayer:89, AUTHOR = {Karl Heinz Mayer}, TITLE = {Algebraische Topologie}, PUBLISHER = {Birkh{\"a}user}, YEAR = 1989, ADDRESS = {Basel, Boston, Berlin} ) @ARTICLE(McWe:76, AUTHOR = {Richard D. McKelvey and Richard E. Wendell}, TITLE = {Voting equilibria in multidimensional choice spaces}, JOURNAL = {Mathematics of Operations Research}, YEAR = 1976, VOLUME = 1, NUMBER = 2, PAGES = {144--158}, MONTH = {Mai} ) @ARTICLE(Megiddo:83, AUTHOR = {N[imrod] Megiddo}, TITLE = {The weighted {E}uclidean 1-center problem}, JOURNAL = {Mathematics of Operation Research}, YEAR = 1983, VOLUME = 8, PAGES = {498--504} ) @BOOK(Meyberg:80, AUTHOR = {Kurt Meyberg}, ED = {J. Heinhold}, TITLE = {Algebra}, PUBLISHER = {Hanser}, YEAR = 1980, SERIES = {Mathematische Grundlagen f{\"u}r Mathematiker, Physiker und Ingenieure}, ADDRESS = {M{\"u}nchen, Wien} ) @ARTICLE(Michelot:87, AUTHOR = {Christian Michelot}, TITLE = {Localization in multifacility location theory}, JOURNAL = EJOR, YEAR = 1987, VOLUME = 31, PAGES = {177--184} ) @article{Michelot93, author = {{Michelot}, C.}, title = "The Mathematics of continuous location ", journal = {Special Isolde of Studies in Locational Analysis, J. Karkasis \& B. Boffey (Eds)}, volume = 5, page = "59--83", year = 1993 } @MISC(Michelot:95, AUTHOR = {Christian Michelot}, HOWPUBLISHED = {Private communication}, MONTH = {September~26}, YEAR = 1995, NOTE = {Lambrecht, EWGLA8 --- EURO Working Group on Locational Analysis} ) @ARTICLE(MiLe:87, AUTHOR ={C[hristian] Michelot and O[dile] Lefebvre}, TITLE = {A primal-dual algorithm for the {F}ermat-{W}eber problem involving mixed gauges}, JOURNAL = MAPRO, YEAR = 1987, VOLUME = 39, PAGES = {319--335} ) @UNPUBLISHED(MiPl:91?, AUTHOR ={C[hristian] Michelot and F[rank] Plastria}, TITLE = {Attraction {T}ree {D}etection is {NP}-{C}omplete}, NOTE = {Rapport du CERMSEM 9107, Universit{\'e} de Paris I --- Panth{\'e}on-Sorbonne} ) @BOOK(Minkowski:11, AUTHOR = {Hermann Minkowski}, TITLE = {Gesammelte Abhandlungen}, PUBLISHER = {Chelsea Publishing Company}, YEAR = 1967, VOLUME = 2, ADDRESS = {New York}, NOTE = {Reprint} ) @MANUAL(MIT:89, TITLE = {MIT Scheme V 7.0 Reference Manual}, ORGANIZATION = {Massachussetts Institute of Technology}, YEAR = 1991 ) @ARTICLE(MiPa:91, AUTHOR = {Joseph S.~B.~Mitchell and Christos H.~Papadimitriou}, TITLE = {The {W}eighted {R}egion Problem: {F}inding {S}hortest {P}aths {T}hrough a {W}eighted {P}lanar {S}ubdivision}, JOURNAL = {Journal of the Association for Computing Machinery}, YEAR = 1991, VOLUME = 38, NUMBER = 1, MONTH = {January}, PAGES = {18--73} ) @BOOK(Minoux:86, AUTHOR = {M. Minoux}, TITLE = {Mathematical Programming --- Theory and Algorithms}, PUBLISHER = {John Wiley and Sons}, YEAR = 1986, ADDRESS = {Chichester, New York, Brisbane, Toronto, Singapore} ) @BOOK(MiFr:91, EDITOR = {Pitu B. Mirchandani and Richard L. Francis}, TITLE = {Discrete {L}ocation {T}heory}, YEAR = {1990}, PUBLISHER = {John Wiley \& Sons, Inc.}, ADDRESS = {New York}, ) @TECHREPORT(MoTh:92:preprint, AUTHOR = {Jorge J.~Mor{\'e} and David J.~Thuente}, TITLE = {Line search algorithms with guaranteed sufficient decrease}, INSTITUTION = {Argonne National Laboratory, Mathematics and Computer Science Division}, YEAR = 1992, TYPE = {Preprint}, NUMBER = {MCS-P330-1092}, ADDRESS = {9700 South Cass Avenue, Argonne, Illinois 60439, USA}, MONTH = {October}, NOTE = {Electronically distributed as {\verb!info.mcs.anl.gov/pub/tech_reports/reports/P330.dvi.tar.Z!} and {\verb!info.mcs.anl.gov/pub/tech_reports/reports/P330.ps.Z!}} ) @ARTICLE(MoTh:92, AUTHOR = {Jorge J.~Mor{\'e} and David J.~Thuente}, TITLE = {Line search algorithms with guaranteed sufficient decrease}, JOURNAL = {ACM Transactions on Mathematical Software}, YEAR = 1994, VOLUME = 20, NUMBER = 3, MONTH = {September}, PAGES = {286--307}, NOTE = {Also available as~\cite{MoTh:92:preprint}} ) @ARTICLE(MoNo:83, AUTHOR = {James G. Morris and John P. Norback}, TITLE = {Linear facility location --- {S}olving extensions of the basic problem}, JOURNAL = EJOR, YEAR = 1983, VOLUME = 12, PAGES = {90--94} ) @ARTICLE(MoVe:79, AUTHOR = {J. G. Morris and W. A. Verdini}, TITLE = {Minisum $l_p$-distance location problems solved via a perturbed problem and {W}eizsfeld's algorithm}, JOURNAL = OR, YEAR = 1979, VOLUME = 27, PAGES = {1180--1188} ) @ARTICLE(Moses:58, AUTHOR = {L.~N.~Moses}, TITLE = {Location and the Theory of Production}, JOURNAL = {Journal of Economics}, YEAR = 1958, VOLUME = 72, PAGES = {259--272} ) @BOOK(Mueller:83, AUTHOR = {Robert M{\"u}ller}, TITLE = {Mathematik verst{\"a}ndlich}, PUBLISHER = {C. A. Koch's Verlag Nachf.}, YEAR = 1983, ADDRESS = {Berlin, Darmstadt, Wien}, NOTE = {Lizenzausgabe mit Genehmigung des Falken-Verlages, Niedernhausen/Ts.} ) @TECHREPORT(MuOv:78, AUTHOR = {Walter Murray and Michael L. Overton}, TITLE = {Steplength algorithms for minimizing a class of nondifferentiable functions}, INSTITUTION = {Stanford University}, YEAR = 1978, NUMBER = {STAN-CS-78-679}, ADDRESS = {Computer Science Department, School of Humanities and Sciences}, MONTH = {November} ) @ARTICLE(Naccache:78, AUTHOR = {P. H. Naccache}, TITLE = {{C}onnectedness of the {S}et of {N}ondominated {O}utcomes in {M}ulticriteria {O}ptimization}, JOURNAL = JOTA, YEAR = 1978, VOLUME = 25, NUMBER = 3, PAGES = {459--467}, MONTH = {Juli} ) @ARTICLE(Nash:84, AUTHOR = {Stephen G.~Nash}, TITLE = {Newton-type minimization via the {L}anczos method}, JOURNAL = {SIAM JOurnal on Numerical Analysis}, YEAR = 1984, VOLUME = 21, NUMBER = 4, PAGES = {770--778}, MONTH = {August} ) @TECHREPORT(Nickel:93, AUTHOR = {Stefan Nickel}, TITLE = {Bicriterial and restricted planar 2-Median problems}, INSTITUTION = {Universit{\"a}t Kaiserslautern}, YEAR = 1993, TYPE = {Preprint}, NUMBER = {242}, ADDRESS = {Fachbereich Mathematik, Erwin-Schr{\"o}dinger-Strasse, D-6750 Kaiserslautern}, MONTH = {November} ) @INPROCEEDINGS(Nocedal:90, AUTHOR = {Jorge Nocedal}, TITLE = {The Performance of Several Algorithms for Large Scale Unconstrained Optimization}, BOOKTITLE = {Large-Scale Numerical Optimization}, YEAR = 1990, EDITOR = {Thomas F.~Coleman and Yuying Li}, SERIES = {SIAM Proceedings Series}, PAGES = {138--151}, PUBLISHER = {SIAM Society for Industrial and Applied Mathematics}, ADDRESS = {Philadelphia, Pennsylvania} ) @ARTICLE(Ostresh:77, AUTHOR = {Lawrence M. {Ostresh~Jr.}}, TITLE = {The multifacility location problem: {A}pplications and descent theorems}, JOURNAL = {Journal of Regional Science}, YEAR = 1977, VOLUME = 17, NUMBER = 3, PAGES = {409--419} ) @ARTICLE(Ostresh:78, AUTHOR = {L. M. Ostresh}, TITLE = {On the convergence of a class of iterative methods for solving the {W}eber location problem}, JOURNAL = OR, YEAR = 1978, VOLUME = 26, PAGES = {597--609} ) @ARTICLE(Overton:83, AUTHOR = {Michael L.~Overton}, TITLE = {A quadratically convergent method for minimizing a sum of euclidean norms}, JOURNAL = MAPRO, YEAR = 1983, VOLUME = 27, PAGES = {34--63} ) @MANUAL(pcmanual, TITLE = {SPARCompiler Pascal~3.0 Reference Manual}, ORGANIZATION = {Sun Microsystems Inc.}, ADDRESS = {Mountain View, California}, MONTH = {July}, YEAR = 1992 ) @ARTICLE(Pelegrin:84, AUTHOR = {Blas Pelegrin}, TITLE = {A general approach for the 1-center problem}, JOURNAL = {Cah. Cent. Etud. Rech. Op{\'e}r.}, YEAR = 1984, VOLUME = 28, PAGES = {293--301} ) @Article{PaT74, author = "J. Perreur and J. F. Thisse", title = "Central metrics and optimal location", journal = "Journal of Reginal Science", year = 1974, volume = 14, pages = "411-421" } @CONFERENCE(PeMa:96, AUTHOR = {Giancarlo Pesamosca and Francesco Mazzarella}, TITLE = {The analytical solution of some {EMFL} minisum problems}, YEAR = 1996, ADDRESS = {Edmonton and Jasper, Canada}, MONTH = {June~26 -- July~3}, NOTE = {Talk held at the Seventh International Symposium on Locational Decisions, ISOLDE VII} ) @PROCEEDINGS(PhTh:83, TITLE = {Symposium on Spatial Competition and the Theory of Differentiated Markets}, YEAR = {1982--1983}, EDITOR = {Louis Philip and Jacques-Fran\c{c}ois Thisse}, VOLUME = {XXXI}, ORGANIZATION = {The Journal of Industrial Economics}, MONTH = {September/December} ) @BOOK(Pfanzagl:88, AUTHOR = {Johann Pfanzagl}, TITLE = {Elementare Wahrscheinlichkeitsrechnung}, PUBLISHER = {de Gruyter}, YEAR = 1988, SERIES = {de-Gruyter-Lehrbuch}, ADDRESS = {Berlin, New York} ) @ARTICLE(PiRa:78, AUTHOR = {Jean-Claude Picard and H.~Donald Ratliff}, TITLE = {A {C}ut {A}pproach to the {R}ectilinear {D}istance {F}acility {L}ocation {P}roblem}, JOURNAL = OR, YEAR = 1978, VOLUME = 26, NUMBER = 3, PAGES = {422--433}, MONTH = {May--June} ) @ARTICLE(PlHu:75, AUTHOR = {A. Planchart and A. P. Hurter}, TITLE = {An efficient algorithm for the solution of the {W}eber problem with mixed norms}, JOURNAL = {SIAM Journal on Control}, YEAR = 1975, VOLUME = 13, PAGES = {650--665} ) @TECHREPORT(Plastria:85, AUTHOR ={F[rank] Plastria}, TITLE = {Subdifferentials and exact optimality criteria for multifacility location problems}, INSTITUTION = {Universite de Dijon, Laboratoire Analyse Num{\'e}rique}, YEAR = 1985, TYPE = {Working paper}, MONTH = {September} ) @ARTICLE(Plastria:87, AUTHOR ={F[rank] Plastria}, TITLE = {Solving general continuous single facility location problems by cutting planes}, JOURNAL = EJOR, YEAR = 1987, VOLUME = 29, PAGES = {98--110} ) @TECHREPORT(Plastria:90, AUTHOR ={F[rank] Plastria}, TITLE = {On destination optimality in asymmetric distance {F}ermat-{W}eber problems}, INSTITUTION = {Vrije Universiteit Brussel}, YEAR = 1990, TYPE = {Working paper}, NUMBER = {BEIF/25}, ADDRESS = {Brussels, Belgium} ) @ARTICLE(Plastria:91:rep, AUTHOR = {Frank Plastria}, TITLE = {The effects of majority in {F}ermat-{W}eber problems with attraction and repulsion in a pseudometric space}, JOURNAL = {Yugoslav Journal of Operations Research}, YEAR = 1991, VOLUME = 1, NUMBER = 2, PAGES = {141--146} ) @TECHREPORT(Plastria:91o, AUTHOR ={F[rank] Plastria}, TITLE = {When Facilities coincide: exact optimality conditions in multifacility location}, INSTITUTION = {Centre for Industrial Location and Development, Centre for Management Informatics, Vrije Universiteit Brussel}, YEAR = 1991, TYPE = {Report}, NUMBER = {BEIF/6 (Version 2)}, MONTH = {M{\"a}rz}, NOTE = {Published as~\cite{Plastria:92:exact}} ) @ARTICLE(Plastria:92:exact, AUTHOR ={F[rank] Plastria}, TITLE = {When {F}acilities {C}oincide: {E}xact {O}ptimality {C}onditions in {M}ultifacility {L}ocation}, JOURNAL = JOMAA, YEAR = 1992, VOLUME = 169, NUMBER = 2, PAGES = {476--498}, MONTH = {September} ) @INPROCEEDINGS(Plastria:92:maj, AUTHOR = {Frank Plastria}, TITLE = {A majority theorem for {F}ermat-{W}eber problems in quasimetric spaces with applications to semidirected networks}, BOOKTITLE = {Proceedings of the {VI}th meeting of the {EURO} working group on locational analysis}, YEAR = 1992, NUMBER = 5, SERIES = {Serie Informes}, ADDRESS = {Secretariado de Publicaciones, Puerto de La Cruz (Tenerife), Spain}, MONTH = {April}, PAGES = {153--165} ) @MISC(Plastria:93, AUTHOR = {Frank Plastria}, HOWPUBLISHED = {Private communication}, MONTH = {May~7}, YEAR = 1993 ) @INPROCEEDINGS(Plastria:93:report, AUTHOR = {Frank Plastria}, TITLE = {Continuous location anno 1992: a progress report}, BOOKTITLE = {ISOLDE VI SURVEY PAPERS}, YEAR = 1993, EDITOR = {Brian Boffey and John Karkazis}, NUMBER = 5, SERIES = {Studies in Locational Analysis}, PAGES = {85--127}, MONTH = {Juni}, NOTE = {Republished as~\cite{Plastria:95a}} ) @article{Plastria93:assym, author = {{Plastria}, F.}, title = "On destination optimality in assymetric distance Fermat-Weber problem", journal = {Annnals of Operations Research}, volume = 25, pages = "{ }", year = 1993 } @MISC(Plastria:94, AUTHOR = {Frank Plastria}, HOWPUBLISHED = {Written communication}, MONTH = {Mai~17}, YEAR = 1995 ) @INCOLLECTION(Plastria:95a, AUTHOR = {Frank Plastria}, TITLE = {{C}ontinuous {L}ocation {P}roblems}, BOOKTITLE = {Facility {L}ocation: {A} {S}urvey of {A}pplications and {M}ethods}, PUBLISHER = {Springer Verlag}, YEAR = 1995, EDITOR = {Zvi Drezner}, SERIES = {Springer {S}eries in {O}perations {R}esearch}, CHAPTER = {11}, PAGES = {225--262}, CROSSREF = {Drezner:95}, ) @MISC(Plastria:95, AUTHOR = {Frank Plastria}, HOWPUBLISHED = {Private communication}, MONTH = {June~26}, YEAR = 1995, NOTE = {La Laguna, Twelfth EURO Summer Institute on Locational Analysis} ) @UNPUBLISHED(Plastria:97, AUTHOR = {Frank Plastria}, TITLE = {Asymmetric distances, semidirected networks and majority in {F}ermat-{W}eber problems}, MONTH = {March}, YEAR = 1997, NOTE = {In preparation} ) @TECHREPORT(PuRo:95, AUTHOR = {Justo Puerto and Antonio M. Rodr{\'\i}guez-Ch{\'\i}a}, TITLE = {A {D}ynamic {A}pproach to {W}eber {P}roblem}, INSTITUTION = {Facultad de {M}atem{\'a}ticas de la {U}niversidad de {S}evilla, {S}ecc{\'\i}on {E}stad{\'\i}stica e {I}nvestigaci{\'o}n {O}perativa}, YEAR = 1995, TYPE = {Prepublicaci{\'o}n}, NUMBER = 15 ) @ARTICLE(Rado:88, AUTHOR = {Francois Rad{\'o}}, TITLE = {The {E}uclidean multifacility location problem}, JOURNAL = OR, YEAR = 1988, VOLUME = 36, PAGES = {485--492} ) @BOOK(Reimer:80, AUTHOR = {Manfred Reimer}, ED = {Kurt Endl}, TITLE = {Grundlagen der Numerischen Mathematik}, PUBLISHER = {Akademische Verlagsgesellschaft}, YEAR = 1980, SERIES = {Studien-Texte: Mathematik}, ADDRESS = {Wiesbaden} ) @ARTICLE(Ribeiro:43, AUTHOR = {Hugo Ribeiro}, TITLE = {Sur les espaces {\`a} m{\'e}trique faible}, JOURNAL = {Portugaliae Mathematica}, YEAR = 1943, VOLUME = 4, NUMBER = 1, PAGES = {21--40}, MONTH = {Mar{\c{c}}o} ) @PHDTHESIS(Richter:78, AUTHOR = {Wolfram F. Richter}, TITLE = {A game-theoretic approach to location-allocation conflicts}, SCHOOL = {Universit{\"a}t (TH) Karlsruhe}, YEAR = 1978, MONTH = {September}, NOTE = {Habilitationsschrift} ) @BOOK(Rockafellar:70, AUTHOR = {R[alph] Tyrrell Rockafellar}, ED = {Manton Morse and A. W. Tucker}, TITLE = {Convex Analysis}, PUBLISHER = {Princeton University Press}, YEAR = 1970, VOLUME = {28}, SERIES = {Princeton Mathematical Series}, ADDRESS = {Princeton, New Jersey} ) @TECHREPORT(RoKu:91, AUTHOR = {Wilhelm R{\"o}dder and Friedhelm Kulmann}, TITLE = {Propagation in {A}rbitrary {N}etworks}, INSTITUTION = {Fernuniversit{\"a}t Gesamthochschule Hagen}, YEAR = 1991, TYPE = {Diskussionsbeitrag}, NUMBER = {178}, ADDRESS = {FernUniversit{\"a}t Hagen, Feithstr. 140 / AVZ II, 5800 Hagen}, NOTE = {Diskussionsbeitrag des Fachbereichs Wirtschaftswissenschaft der Fernuniversit{\"a}t Hagen} ) @MISC(RoCaCo:96, AUTHOR = {Dolores Romero-Morales and E[milio] Carrizosa and E.~Conde}, TITLE = {Semi-obnoxious {L}ocation {M}odels: {A} {G}lobal {O}ptimization {A}pproach}, HOWPUBLISHED = {Talk held at the 9th meeting of the European Working Group On Locational Analysis}, MONTH = {September}, YEAR = 1996 ) @ARTICLE(RoSc:75, AUTHOR = {G. M. Roodman and L. B. Schwarz}, TITLE = {Optimal and {H}euristic {F}acility {P}haseout {S}trategies}, JOURNAL = {AIIE Transactions}, YEAR = 1975, VOLUME = 7, NUMBER = 2, PAGES = {177--184}, ) @ARTICLE(RoXu:92, AUTHOR = {J.~B.~Rosen and G.~L.~Xue}, TITLE = {On the convergence of {M}iehle's algorithm for the {E}uclidean multifacility location problem}, JOURNAL = OR, YEAR = 1992, VOLUME = 40, PAGES = {188--191} ) @BOOK(Schnorr:74, AUTHOR = {Claus Peter Schnorr}, ED = {H. G{\"o}rtler}, TITLE = {Rekursive Funktionen und ihre Komplexit{\"a}t}, PUBLISHER = TE, YEAR = 1974, VOLUME = 24, SERIES = {Teubner Studienb{\"u}cher Informatik}, ADDRESS = {Stuttgart} ) @BOOK(Schwarz:93, AUTHOR = {Rolf Schwarz}, TITLE = {Convex {B}odies: the {B}runn-{M}inkowski theory}, PUBLISHER = {Cambridge University Press}, YEAR = 1993, VOLUME = 44, SERIES = {Encyclopedia of Mathematics and its applications}, ADDRESS = {Cambridge} ) @TECHREPORT(ShAl:96, AUTHOR = {Hanif D.~Sherali and Intesar Al-Loughani}, TITLE = {Equivalent {P}rimal and {D}ual {D}ifferentiable {R}eformulations of the {E}uclidean {M}ultifacility {L}ocation {P}roblem}, INSTITUTION = {Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University}, YEAR = 1996, TYPE = {Report}, NUMBER = {HDS96-7}, MONTH = {June}, ADDRESS = {Blacksburg, Virginia 24061-0118, USA} ) @Book{Shreid74, author = "Yu. A. Shreider", title = "What is distance?", publisher = "The University of Chicago Press", ADDRESS = {Chicago \& London}, year = 1974 } @ARTICLE(Spaeth:97a, AUTHOR = {Helmuth Sp{\"a}th}, TITLE = {{L}east-{S}quares {F}itting of {E}llipses and {H}yperbolas}, JOURNAL = {Computational Statistics}, YEAR = 1997, VOLUME = 12, NUMBER = 3, PAGES = {329--341} ) @ARTICLE(Spaeth:97b, AUTHOR = {Helmuth Sp{\"a}th}, TITLE = {{O}rthogonal {D}istance {F}itting by {C}ircles and {E}llipses with {G}iven {[sic!]} {A}rea}, JOURNAL = {Computational Statistics}, YEAR = 1997, VOLUME = 12, NUMBER = 3, PAGES = {343--354} ) @ARTICLE(Spingarn:85, AUTHOR = {Jonathan E. Spingarn}, TITLE = {A primal-dual projection method for solving systems of linear inequalities}, JOURNAL = {Linear Algebra and its Applications}, YEAR = 1985, VOLUME = 65, PAGES = {45--62} ) @ARTICLE(Spingarn:83, AUTHOR = {Jonathan E. Spingarn}, TITLE = {Partial {I}nverse of a {M}onotone {O}perator}, JOURNAL = {Applied Mathematics and Optimization}, YEAR = 1983, VOLUME = 10, PAGES = {247--265} ) @BOOK(Spivak:67, AUTHOR = {Michael Spivak}, TITLE = {Calculus}, PUBLISHER = {W. A. Benjamin, Inc.}, YEAR = 1967, ADDRESS = {New York, New York 10016} ) @PHDTHESIS(Steinbach:95, AUTHOR = {M[arc] C.~Steinbach}, TITLE = {Fast {R}ecursive {SQP} {M}ethods for {L}arge-{S}cale {O}ptimal {C}ontrol {P}roblems}, SCHOOL = {Universit{\"at} Heidelberg}, YEAR = 1995, MONTH = {Juni}, NOTE = {Ph.~D.~Dissertation} ) @BOOK(StWi:70, AUTHOR = {Josef Stoer and Christoph Witzgall}, TITLE = {Convexity and Optimization in Finite Dimensions I}, PUBLISHER = {Springer-Verlag}, YEAR = 1970, VOLUME = 163, SERIES = {Die Grundlagen der mathematischen Wissenschaften}, ADDRESS = {Berlin, Heidelberg, New York} ) @article{Stone91, author = {{Stone}, R. E.}, title = "A new distance function for modeling travel distances in a transportation network", journal = {Transportation science}, volume = 25, pages = "83--91", year = 1991 } @ARTICLE(SuAsOk:91, AUTHOR = {Tsutomu Suzuki and Yasushi Asami and Atsuyuki Okabe}, TITLE = {Sequential location-allocation of public facilities in one- and two-dimensional space: {C}omparison of several policies}, JOURNAL = MAPRO, YEAR = 1991, VOLUME = 52, PAGES = {125--146} ) @ARTICLE(TaCh:90, AUTHOR = {A. Tamir and P. Chandrasekharan}, TITLE = {Algebraic optimization: the {F}ermat-{W}eber location {P}roblem}, JOURNAL = MAPRO, YEAR = 1990, VOLUME = 46, PAGES = {219--224} ) @ARTICLE(TchRoCh:88, AUTHOR = {Dong-Wan Tcha and Hyung-Bong Ro and Chun-Beon}, TITLE = {A dual based add heuristic for uncapacitated facility location}, JOURNAL = JORS, YEAR = 1988, VOLUME = 39, PAGES = {873--878} ) @ARTICLE(TePo:89, AUTHOR = {Luc-Normand Tellier and Boris Polanski}, TITLE = {The {W}eber problem: frequency of different solution types and extension to repulsive forces and dynamic processes}, JOURNAL = {Journal of Regional Science}, YEAR = 1989, VOLUME = 29, NUMBER = 3, PAGES = {387--405} ) @ARTICLE(ThWaWe:84, AUTHOR = {J.-F. Thisse and J[ames] E. Ward and R[ichard] E. Wendell}, TITLE = {Some {P}roperties of {L}ocation {P}roblems with {B}lock and {R}ound {N}orms}, JOURNAL = OR, YEAR = 1984, VOLUME = 32, NUMBER = 6, PAGES = {1309--1327}, MONTH = {November--Dezember} ) @book{Thisse83, author = {{Thisse}, J. F. and {Zoller}, H. G.}, title = "Locational Analisis of Public Facilities", publisher = {North Hollland Publishing Co.}, note = {Studies in mathematical and management economics. vol 31}, year = 1983 } @ARTICLE(VeRo:67, AUTHOR = {R. C. Vergin and J. D. Rogers}, TITLE = {An algorithm and computational procedure for locating economic facilities}, JOURNAL = MS, YEAR = 1967, VOLUME = 13, PAGES = {B240--B254} ) @ARTICLE(VaEr:82, AUTHOR = {T. J. Van Roy and D. Erlenkotter}, TITLE = {A {D}ual-based {P}rocedure for {D}ynamic {F}acility {L}ocation}, JOURNAL = {Management Science}, YEAR = 1982, VOLUME = 28, PAGES = {1091--1105} ) @ARTICLE(ViHa:85, AUTHOR = {Jos{\'e} Viegas and Pierre Hansen}, TITLE = {Finding shortest paths in the plane in the presence of barriers to travel (for any $l_p$-norm)}, JOURNAL = EJOR, YEAR = 1985, VOLUME = 20, PAGES = {373--381} ) @article{Ward80, author = {{Ward}, J. and {Wendell}, R. E.}, title = "A new Norm for Measuring Distance which Yields Linear Location Problems", journal = {Operations Research}, volume = 28, pages = "836--843", year = 1980 } @ARTICLE(WaWe:85, AUTHOR = {James E. Ward and Richard E. Wendell}, TITLE = {Using {B}lock {N}orms for {L}ocation {M}odelling}, JOURNAL = OR, YEAR = 1985, VOLUME = 33, NUMBER = 5, PAGES = {1074--1090}, MONTH = {September--Oktober} ) @BOOK(Weber:09, AUTHOR = {A[lfred] Weber}, TITLE = {{\"U}ber den Standort der Industrien}, PUBLISHER = {}, YEAR = 1909, ADDRESS = {T{\"u}bingen} ) @PHDTHESIS(Wesolowsky:70, AUTHOR = {G. O. Wesolowsky}, TITLE = {Facility location using rectilinear distances}, YEAR = 1970 ) @ARTICLE(WeLo:72, AUTHOR = {G.~O.~Wesolowsky and R.~F.~Love}, TITLE = {A nonlinear approximation method for solving a generalized rectangular distance {W}eber problem}, JOURNAL = MS, YEAR = 1972, VOLUME = 18, NUMBER = 11, PAGES = {656--663}, MONTH = {July} ) @ARTICLE(WeMc:81, AUTHOR = {R[ichard] E. Wendell and R[ichard] D. McKelvey}, TITLE = {New {P}erspectives in {C}ompetitive {L}ocation {T}heory}, JOURNAL = EJOR, YEAR = 1981, VOLUME = 6, PAGES = {174--182} ) @ARTICLE(Wilson:31, AUTHOR = {W.~A. Wilson}, TITLE = {On quasi-metric spaces}, JOURNAL = {American Journal of Mathematics}, YEAR = 1931, VOLUME = 43, PAGES = {675--684} ) @ARTICLE(WiWa:83, AUTHOR = {S. C. Wirasinghe and N. M. Waters}, TITLE = {An approximate procedure for determining the number, capacities and locations of solid waste transfer-stations in an urban region}, JOURNAL = EJOR, YEAR = 1983, VOLUME = 12, PAGES = {105--111} ) @TECHREPORT(Witzgall:64, AUTHOR = {Christoph Witzgall}, TITLE = {Optimal {L}ocation of a {C}entral {F}acility, {M}athematical {M}odels and {C}oncepts}, INSTITUTION = {National Bureau of Standards, Applied Mathematics Division, Operations Research Section}, YEAR = 1964, NUMBER = {8388}, ADDRESS = {U.~S. Department of Commerce, Washington, D.~C.}, MONTH = {June 30} ) @ARTICLE(Witzgall:65, AUTHOR = {C. Witzgall}, TITLE = {On {C}onvex {M}etrics}, JOURNAL = {JOURNAL OF RESEARCH of the National Bureau of Standards---B. Mathematics and Mathematical Physics}, YEAR = 1965, VOLUME = {69B}, NUMBER = 3, MONTH = {July--September}, PAGES = {175--177} ) @INCOLLECTION(Wolfe:70, AUTHOR = {P.~Wolfe}, TITLE = {Convergence theory in nonlinear programming}, BOOKTITLE = {Integer and {N}onlinear {P}rogramming}, PUBLISHER = {North-Holland Publishing Company}, YEAR = 1970, EDITOR = {J.~Abadie}, CHAPTER = {1}, PAGES = {1--36}, ADDRESS = {Amsterdam, London}, CROSSREF = {Abadie:70} ) @ARTICLE(Wolfe:76, AUTHOR = {Philip Wolfe}, TITLE = {Finding the nearest point in a polytope}, JOURNAL = MAPRO, YEAR = 1976, VOLUME = 11, PAGES = {128--149} ) @BOOK(Wonneberger:88, AUTHOR = {Dr. Reinhard Wonneberger}, TITLE = {Kompaktf{\"u}hrer {\LaTeX}}, PUBLISHER = {Addison-Wesley (Deutschland) GmbH}, YEAR = 1988, ADDRESS = {Bonn, M"unchen und andere}, EDITION = {Zweite} ) @INBOOK(Wright:92, AUTHOR = {Margaret H.~Wright}, TITLE = {Interior {M}ethods for {C}onstrained {O}ptimization}, PAGES = {341--407}, PUBLISHER = {Cambridge University Press}, YEAR = 1992, SERIES = {Acta Numerica}, ADDRESS = {New York} ) @BOOK(Wunderlich:67, AUTHOR = {Walter Wunderlich}, TITLE = {Darstellende Geometrie}, PUBLISHER = {Bibliographisches Instititut}, YEAR = 1967, VOLUME = 2, NR = 133, SERIES = {BI-Hoch\-schul\-ta\-schen\-b{\"u}\-cher}, ADDRESS = {Mannheim} ) @BOOK(YeKoKr:84, AUTHOR = {V. A. Yemelichev and M. M. Kovalev and M. K. Kravtsov}, TITLE = {Polytopes, Graphs and Optimisation}, PUBLISHER = {Cambridge University Press}, YEAR = 1984, VOLUME = {I}, SERIES = {Addison-Wesley Series in Mathematics}, ADDRESS = {Cambridge, London, New York, New Rochelle, Melbourne, Sidney} ) @BOOK(YOgr:72, AUTHOR = {David M.~Young and Robert Todd Gregory}, TITLE = {A {S}urvey of {N}umerical {M}athematics}, PUBLISHER = {Addison-Wesley Publishing Company}, YEAR = 1972, ADDRESS = {Reading, Massachusetts, Menlo Park, California, London, Don Mills, Ontario} ) @ARTICLE(XuRoPa:96, AUTHOR = {G.~L.~Xue and J.~B.~Rosen and P.~M.~Pardalos}, TITLE = {A polynomial time dual algorithm for the {E}uclidean multifacility location problem}, JOURNAL = {Operations Research Letters}, YEAR = 1996, VOLUME = 18, PAGES = {201--204} ) @TECHREPORT(XuYe:95, AUTHOR = {Guoliang Xue and Yinyu Ye}, TITLE = {An {E}fficient {A}lgorithm for {M}inimizing a {S}um of {E}uclidean {N}orms with {A}pplications}, INSTITUTION = {University of Vermont}, YEAR = 1995, NUMBER = {CSEE/95/06-01}, ADDRESS = {Department of Computer Science and Electrical Engineering, University of Vermont}, MONTH = {June~20}, NOTE = {Electronically distributed as \verb!ftp://col.biz.uiowa.edu/pub/papers/icecone.ps.Z!.} ) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Crossreferenced: %%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @BOOK(Drezner:95, EDITOR = {Zvi Drezner}, TITLE = {Facility {L}ocation: {A} {S}urvey of {A}pplications and {M}ethods}, PUBLISHER = {Springer Verlag}, YEAR = 1995, SERIES = {Springer {S}eries in {O}perations {R}esearch}, ADDRESS = {New York} ) @BOOK(Abadie:70, EDITOR = {J.~Abadie}, TITLE = {Integer and {N}onlinear {P}rogramming}, PUBLISHER = {North-Holland Publishing Company}, YEAR = 1970, ADDRESS = {Amsterdam, London} ) @BOOK(WiRe:71, EDITOR = {J.~H.~Wilkinson and C.~Reinsch}, TITLE = {Linear {A}lgebra}, PUBLISHER = {Springer-Verlag}, YEAR = 1971, NUMBER = 186, SERIES = {Die {G}rundlehren der mathematischen {W}issenschaften}, ADDRESS = {Berlin, Heidelberg, New York} ) @PROCEEDINGS(LoLaTh:89, TITLE = {Facility location analysis: theory and applications}, YEAR = 1989, EDITOR = {Fran{\c{c}}ois V. Louveaux and Martine Labb{\'e} and Jacques Fran{\c{c}}ois Thisse}, PUBLISHER = {J. C. Baltzer AG Scientific Publishing Company}, VOLUME = 18, SERIES = {Annals of Operations Research}, ADDRESS = {Basel, Switzerland}, MONTH = {February}, REMARK = {Proceedings volume of ISOLDE IV, Namur, Belgium, 11.~June--16.~June 1987.} ) @PROCEEDINGS(BoKa:94, TITLE = {EWGLA 7 Proceedings}, BOOKTITLE = {EWGLA 7 Proceedings}, YEAR = 1994, EDITOR = {Brian Boffey and John Karkazis}, PUBLISHER = {Constantine Porphyrogenetus International Association}, SERIES = {Studies in Locational Analysis}, NUMBER = 7, ADDRESS = {Smirnis~1, Zografu, Athens~15772, Greece}, MONTH = {November} )