The Attractive Traveling Salesman Problem

Günes Erdogan, Jean-François Cordeau and Gilbert Laporte

European Journal of Operational Research, 2010, vol. 203, issue 1, 59-69

Abstract: In the Attractive Traveling Salesman Problem the vertex set is partitioned into facility vertices and customer vertices. A maximum profit tour must be constructed on a subset of the facility vertices. Profit is computed through an attraction function: every visited facility vertex attracts a portion of the profit from the customer vertices based on the distance between the facility and customer vertices, and the attractiveness of the facility vertex. A gravity model is used for computing the profit attraction. The problem is formulated as an integer non-linear program. A linearization is proposed and strengthened through the introduction of valid inequalities, and a branch-and-cut algorithm is developed. A tabu search algorithm is also implemented. Computational results are reported.

Keywords: Traveling; Salesman; Problem; Demand; attraction; Demand; allocation; Linearization; Branch-and-cut; Tabu; search (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:203:y:2010:i:1:p:59-69

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