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In [[optimization (mathematics)|optimization theory]], '''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. 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=978-0-387-98705-
* 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|journal=SIAM Review|volume=35|year=1993|number=3|pages=380–429|doi=10.1137/1035089|mr=1234637 | jstor = 2132425}}
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* Edward J. Anderson and Peter Nash, ''Linear Programming in Infinite-Dimensional Spaces'', Wiley, 1987.
* {{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=978-0-387-98705-
* 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|journal=SIAM Review|volume=35|year=1993|number=3|pages=380–429|doi=10.1137/1035089|mr=1234637 | jstor = 2132425}}
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