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A matheuristic for the Team Orienteering Arc Routing Problem

Claudia Archetti, Ángel Corberán, Isaac Plana, José Maria Sanchis and M. Grazia Speranza

European Journal of Operational Research, 2015, vol. 245, issue 2, 392-401

Abstract: In the Team Orienteering Arc Routing Problem (TOARP) the potential customers are located on the arcs of a directed graph and are to be chosen on the basis of an associated profit. A limited fleet of vehicles is available to serve the chosen customers. Each vehicle has to satisfy a maximum route duration constraint. The goal is to maximize the profit of the served customers. We propose a matheuristic for the TOARP and test it on a set of benchmark instances for which the optimal solution or an upper bound is known. The matheuristic finds the optimal solutions on all, except one, instances of one of the four classes of tested instances (with up to 27 vertices and 296 arcs). The average error on all instances for which the optimal solution is available is 0.67 percent.

Keywords: Team Orienteering Problem; Arc routing problem; Routing problems with profits; Matheuristic (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:245:y:2015:i:2:p:392-401

DOI: 10.1016/j.ejor.2015.03.022

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