Minimizing a Submodular Function on a Lattice

Donald M. Topkis
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Donald M. Topkis: Monona, Wisconsin

Operations Research, 1978, vol. 26, issue 2, 305-321

Abstract: This paper gives general conditions under which a collection of optimization problems, with the objective function and the constraint set depending on a parameter, has optimal solutions that are an isotone function of the parameter. Relating to this, we present a theory that explores and elaborates on the problem of minimizing a submodular function on a lattice.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:26:y:1978:i:2:p:305-321

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