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A survey on matheuristics for routing problems
Author(s) -
Claudia Archetti,
M. Grazia Speranza
Publication year - 2014
Publication title -
euro journal on computational optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.95
H-Index - 14
eISSN - 2192-4414
pISSN - 2192-4406
DOI - 10.1007/s13675-014-0030-7
Subject(s) - heuristics , column generation , computer science , heuristic , routing (electronic design automation) , vehicle routing problem , mathematical optimization , decomposition , quality (philosophy) , operations research , management science , artificial intelligence , mathematics , engineering , computer network , ecology , philosophy , epistemology , biology , operating system
In this paper, we survey the literature on matheuristics proposed to solve vehicle routing problems. A matheuristic makes use of mathematical programming models in a heuristic framework. Matheuristics have been applied to several different routing problems and include a number of different approaches. We propose a classification in three classes of matheuristics: decomposition approaches, improvement heuristics and branch-and-price/column generation-based approaches. The contribution of this paper is to offer to researchers interested in routing problems a structured overview of the most successful ideas to combine heuristic schemes and mathematical programming models to obtain high quality solutions. Moreover, we analyze the state of the art and provide insights and hints for future research.

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