Article ID Journal Published Year Pages File Type
5128284 Discrete Optimization 2016 23 Pages PDF
Abstract

We consider the class of biobjective mixed integer linear programs (BOMILPs). We review fathoming rules for general BOMILPs and present them in a unified manner. We then propose new fathoming rules that rely on solving specially designed LPs, hence making no assumption on the type of problem and only using polynomial-time algorithms. We describe an enhancement for carrying out these rules by performing a limited number of pivot operations on an LP, and then we provide insight that helps to make these rules even more efficient by either focusing on a smaller number of feasible solutions or by resorting to heuristics that limit the number of LPs solved.

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Physical Sciences and Engineering Mathematics Control and Optimization
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