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Exact Solution to a Location Problem with Stochastic Demands

Author

Listed:
  • Gilbert Laporte

    (École des Hautes Études Commerciales, 5255 Decelles Ave., Montréal, Québec, Canada H3T 1V6)

  • François V. Louveaux

    (Facultés Universitaires Notre-Dame de la Paix, Faculté des Sciences Économiques et Sociales, 8 Rempart de la Vierge, B-5000 Namur, Belgium)

  • Luc van Hamme

    (Beyers Innovative Software, Michielssendreef 40/42, B-2130 Brasschaat, Belgium)

Abstract

This paper considers a class of Capacitated Facility Location Problems in which customer demands are stochastic. The problem is formulated as a stochastic integer linear program, with first stage binary variables and second stage continuous variables. It is solved to optimality by means of a branch and cut method. Computational results are reported for problems involving up to 40 customers and 10 potential facility locations.

Suggested Citation

  • Gilbert Laporte & François V. Louveaux & Luc van Hamme, 1994. "Exact Solution to a Location Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 28(2), pages 95-103, May.
  • Handle: RePEc:inm:ortrsc:v:28:y:1994:i:2:p:95-103
    DOI: 10.1287/trsc.28.2.95
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