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Optimal Routing under Capacity and Distance Restrictions

Gilbert Laporte, Yves Nobert, Martin Desrochers

Operations Research · 1985 · Volume 33 · Issue 5

DOI: 10.1287/opre.33.5.1050

Abstract

This paper describes an integer linear programming algorithm for vehicle routing problems involving capacity and distance constraints. The method uses constraint relaxation and a new class of subtour elimination constraints. Two versions of the algorithm are presented, depending upon the nature of the distance matrix. Exact solutions are obtained for problems involving up to sixty cities.

Keywords

483 distance algorithms, 491 traveling salesman

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