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A complete, free, open source Semi
Infinite Programming Tutorial is available here from Elsevier as a pdf download from their Journal of Computational and Applied Mathematics, Volume 217, Issue 2, 1 August 2008, Pages
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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.
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Description of semi-infinite programming from INFORMS (Institute for
Operations Research and Management Science)
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Hettich, R.; Kortanek, K. O. (1993). "Semi-infinite programming: Theory, methods, and applications".
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Hettich, R.; Kortanek, K. O. (1993). "Semi-infinite programming: Theory, methods, and applications".
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Bonnans, J. Frédéric; Shapiro, Alexander (2000). "5.4 and 7.4.4 Semi-infinite programming".
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Bonnans, J. Frédéric; Shapiro, Alexander (2000). "5.4 and 7.4.4 Semi-infinite programming".
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564:. Springer Series in Operations Research. New York: Springer-Verlag. pp. 496–526 and 581.
480:. Springer Series in Operations Research. New York: Springer-Verlag. pp. 496–526 and 581.
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in which the lower-level variables do not participate in the objective function.
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Semi-Infinite
Programming (Nonconvex Optimization and Its Applications)
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In the meantime, see external links below for a complete tutorial.
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In the meantime, see external links below for a complete tutorial.
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172:{\displaystyle g(x,y)\leq 0,\;\;\forall y\in Y}
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272:{\displaystyle g:R^{n}\times R^{m}\to R}
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84:{\displaystyle \min _{x\in X}\;\;f(x)}
632:Optimization by Vector Space Methods.
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41:The problem can be stated simply as:
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552:Edward J. Anderson and Peter Nash,
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306:{\displaystyle X\subseteq R^{n}}
586:M. A. Goberna and M. A. López,
502:M. A. Goberna and M. A. López,
361:Methods for solving the problem
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703:. You can help Knowledge by
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596:SIAM Review
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388:July 2010
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