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Optimal Routing under Capacity and Distance Restrictions

Author

Listed:
  • Gilbert Laporte

    (École des Hautes Études Commerciales de Montréal, Québec, Canada)

  • Yves Nobert

    (Université de Montréal, Québec, Canada)

  • Martin Desrochers

    (Université de Montréal, Québec, Canada)

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.

Suggested Citation

  • Gilbert Laporte & Yves Nobert & Martin Desrochers, 1985. "Optimal Routing under Capacity and Distance Restrictions," Operations Research, INFORMS, vol. 33(5), pages 1050-1073, October.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:5:p:1050-1073
    DOI: 10.1287/opre.33.5.1050
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