The target visitation arc routing problem

Jessica Rodríguez-Pereira () and Gilbert Laporte
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Jessica Rodríguez-Pereira: Universitat Pompeu Fabra
Gilbert Laporte: HEC Montréal

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2022, vol. 30, issue 1, No 3, 60-76

Abstract: Abstract This paper studies the target visitation arc routing problem on an undirected graph. This problem combines the well-known undirected rural postman problem and the linear ordering problem. In this problem, there is a set of required edges partitioned into targets, which must be traversed and there are pairwise preferences for the order in which some targets are serviced, which generates a revenue if the preference is satisfied. The aim is to find a tour that traverses all required edges at least once, and offers a compromise between the revenue generated by the order in which targets are serviced, and the routing cost of the tour. A linear integer programming formulation including some families of valid inequalities is proposed. Despite the difficulty of the problem, the model can be used to solve to optimality around 62% of the test instances.

Keywords: Target visitation; Arc routing; Linear ordering problem; 90B06 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11750-021-00601-5

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