Solving the geometric firefighter routing problem via integer programming

Mauricio J. O. Zambon, Pedro J. de Rezende and Cid C. de Souza

European Journal of Operational Research, 2019, vol. 274, issue 3, 1090-1101

Abstract: In this paper, we introduce the Geometric Firefighter Routing Problem (gfrp) as a variant of the Geometric Firefighter Problem aiming to better model more realistic situations. We design an exact algorithm based on a core Linear Integer Programming formulation and propose additional sets of valid constraints to strengthen it. The algorithm also includes primal heuristics, and preprocessing procedures to reduce the model size. Besides, we generate two large sets of instances, tailored to the gfrp, and report on comprehensive experimental results for them. Thorough analysis validate the effectiveness of each major step of the algorithm and the overall performance of our approach.

Keywords: Combinatorial optimization; Integer programming; Computational geometry; Geometric firefighter routing problem (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:274:y:2019:i:3:p:1090-1101

DOI: 10.1016/j.ejor.2018.10.037

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