Matheuristics: using mathematics for heuristic design

Author:

Boschetti Marco AntonioORCID,Maniezzo Vittorio

Abstract

AbstractMatheuristics are heuristic algorithms based on mathematical tools such as the ones provided by mathematical programming, that are structurally general enough to be applied to different problems with little adaptations to their abstract structure. The result can be metaheuristic hybrids having components derived from the mathematical model of the problems of interest, but the mathematical techniques themselves can define general heuristic solution frameworks. In this paper, we focus our attention on mathematical programming and its contributions to developing effective heuristics. We briefly describe the mathematical tools available and then some matheuristic approaches, reporting some representative examples from the literature. We also take the opportunity to provide some ideas for possible future development.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Theoretical Computer Science,Management Information Systems,Management Science and Operations Research

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