Efficient heuristics for the rectilinear distance capacitated multi-facility Weber problem

N Aras (), M Orbay and I K Altinel
Additional contact information
N Aras: Boğaziçi University
M Orbay: Casual Male Retail Group Inc.
I K Altinel: Boğaziçi University

Journal of the Operational Research Society, 2008, vol. 59, issue 1, 64-79

Abstract: Abstract In this paper, we consider the capacitated multi-facility Weber problem with rectilinear distance. This problem is concerned with locating m capacitated facilities in the Euclidean plane to satisfy the demand of n customers with the minimum total transportation cost. The demand and location of each customer are known a priori and the transportation cost between customers and facilities is proportional to the rectilinear distance separating them. We first give a new mixed integer linear programming formulation of the problem by making use of a well-known necessary condition for the optimal facility locations. We then propose new heuristic solution methods based on this formulation. Computational results on benchmark instances indicate that the new methods can provide very good solutions within a reasonable amount of computation time.

Keywords: location–allocation; heuristics; mixed integer programming formulation (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (6)

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DOI: 10.1057/palgrave.jors.2602262

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