Abstract

Subset sum problems are a special class of difficult singly constrained zero–one integer programming problems. Several heuristics for solving these problems have been reported in the literature. In this paper we propose a new heuristic based on local search which improves upon the previous best. Scope and purpose Subset sum problems (SSP) are a widely studied class of integer programming problems. These frequently occur as subproblems in other integer programs. They have been used for calculating bounds for general integer programs and power indices of players in cooperative voting games. In this paper we present a competitive heuristic for approximately solving this problem.

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