Solving stochastic programs with complete integer recourse: a framework using Gröbner bases

Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properti...

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Hauptverfasser: Schultz, Rüdiger (VerfasserIn), Stougie, Leen (VerfasserIn), Vlerk, Maarten H. van der (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin-Wilmersdorf 1995
Schriftenreihe:Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1995,23
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Zusammenfassung:Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed."
Beschreibung:21 S. graph. Darst.

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