next up previous contents
Next: The Objective Function Up: The Effect Function Previous: The Effect Function

Alternatives

Other important and convenient agglomeration functions over time are weighted p-norms, i. e,\
displaymath4115
(tex2html_wrap_inline3255) or
displaymath4116
where tex2html_wrap_inline3257 is a weighting function with tex2html_wrap_inline3259 almost everywhere. This can easily be generalized to semi-norms in which tex2html_wrap_inline3261 may hold on a subset of [0, T] with nonzero measure, but tex2html_wrap_inline3259 else. Weighting functions with this property can also be introduced in (5.1). When interpreting e as a sampling function, this means that some points (in time) are left unsampled. The corresponding agglomeration functions include
displaymath4117
i. e. only the effect at the end of the time interval considered is accounted for.

Since there are too many different time agglomeration functions which are reasonable in different circumstances, no attempt has been made to provide the user of the software package with a number of templates. If agglomerations different from the one presently implemented are preferred, the source code of the optimization module has to be changed accordingly.


next up previous contents
Next: The Objective Function Up: The Effect Function Previous: The Effect Function

Joerg Fliege
Wed Dec 22 12:25:31 CET 1999