Duality in infinite dimensional linear programming
نویسندگان
چکیده
منابع مشابه
Duality in infinite dimensional linear programming
We consider the class of linear programs with infinitely many variables and constraints having the property that every constraint contains at most finitely many variables while every variable appears in at most finitely many constraints. Examples include production planning and equipment replacement over an infinite horizon. We form the natural dual linear programming problem and prove strong d...
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Finite-dimensional linear programs satisfy strong duality (SD) and have the “dual 8 pricing” (DP) property. The (DP) property ensures that, given a sufficiently small perturbation of 9 the right-hand-side vector, there exists a dual solution that correctly “prices” the perturbation by 10 computing the exact change in the optimal objective function value. These properties may fail in 11 semi-inf...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 1992
ISSN: 0025-5610,1436-4646
DOI: 10.1007/bf01585695