The Attractive Traveling Salesman Problem

نویسندگان

  • Günes Erdogan
  • Jean-François Cordeau
  • Gilbert Laporte
چکیده

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 is 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.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 203  شماره 

صفحات  -

تاریخ انتشار 2010