Accelerated Benders Decomposition and Local Branching for Dynamic Maximum Covering Location Problems

Steven Lamontagne; Margarida Carvalho; Ribal Atallah

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arXiv · 2309.00702

Accelerated Benders Decomposition and Local Branching for Dynamic Maximum Covering Location Problems

Steven Lamontagne·Margarida Carvalho·Ribal Atallah

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Abstract

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple time periods. To the best of our knowledge, no exact solution method has been proposed to tackle large-scale instances of this problem. To that end, in this work, we expand upon the current state-of-the-art branch-and-Benders-cut solution method in the static case, by exploring several acceleration techniques. Additionally, we propose a specialised local branching scheme, that uses a novel distance metric in its definition of subproblems and features a new method for efficient and exact solving of the subproblems. These methods are then compared through extensive computational experiments, highlighting the strengths of the proposed methodologies.

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Steven Lamontagne, Margarida Carvalho, Ribal Atallah. 2023-09-01. Accelerated Benders Decomposition and Local Branching for Dynamic Maximum Covering Location Problems. https://arxiv.org/abs/2309.00702

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