Revision as of 15:41, 10 November 2010 edit Kiefer.Wolfowitz (talk \| contribs) 39,688 edits →References: {{cite article\|last1=Hettich\|first1=R.\|last2=Kortanek\|first2=K. O.\|title=Semi-infinite programming: Theory, methods, and applications\|url=http://www.jstor.org/stable/2132425\|jour ← Previous edit		Revision as of 15:46, 10 November 2010 edit undo Kiefer.Wolfowitz (talk \| contribs) 39,688 edits * {{cite book\|last1=Bonnans\|first1=J. Frédéric\|last2=Shapiro\|first2=Alexander\|chapter=5.4 and 7.4.4 Semi-infinite programming\|title=Perturbation analysis of optimization problems\|series=Spri Next edit →
Line 1: {{Unreferenced\|date=May 2008}} In [[mathematics]], '''semi-infinite programming''' ('''SIP''') is an [[optimization problem]] with a finite number of variables and an infinite number of constraints, or an infinite number of variables and a finite number of constraints [http://glossary.computing.society.informs.org/second.php?page=S.html#Semi-infinite_program]. In the former case the constraints are typically parameterized.<ref> * {{cite book\|last1=Bonnans\|first1=J. Frédéric\|last2=Shapiro\|first2=Alexander\|chapter=5.4 and 7.4.4 Semi-infinite programming\|title=Perturbation analysis of optimization problems\|series=Springer Series in Operations Research\|publisher=Springer-Verlag\|___location=New York\|year=2000\|pages=496–526 and 581\|isbn=0-387-98705-3\|id={{MR\|1756264}}\|}} * M. A. Goberna and M. A. López, ''Linear Semi-Infinite Optimization'', Wiley, 1998. * {{cite article\|last1=Hettich\|first1=R.\|last2=Kortanek\|first2=K. O.\|title=Semi-infinite programming: Theory, methods, and applications\|url=http://www.jstor.org/stable/2132425\|journal=SIAM Review\|volume=35\|year=1993\|number=3\|pages=380–429\|doi=http://dx.doi.org/10.1137/1035089\|id={{MR\|1234637}}.{{jstor\|2132425}}\|}} </ref> ==Mathematical formulation of the problem==

Semi-infinite programming: Difference between revisions