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A method for solving to optimality uncapacitated location problems. (English) Zbl 0707.90060

Summary: We develop a method for solving to optimality a general 0-1 formulation for uncapacitated location problems. This is a 3-stage method that solves large problems in reasonable computing times.
The 3-stage method is composed of a primal-dual algorithm, a subgradient optimization to solve a Lagrangean dual and a branch-and-bound algorithm. It has a hierarchical structure, with a given stage being activated only if the optimal solution could not be identified in the preceding stage.
The proposed method was used in the solution of three well-known uncapacitated location problems; the simple plant location problem, the p-median problem and the fixed-charge p-median problem. Computational results are given for problems of up to the size 200 customers\(\times 200\) potential facility sites.

MSC:

90B80 Discrete location and assignment
90-08 Computational methods for problems pertaining to operations research and mathematical programming
90C06 Large-scale problems in mathematical programming
90C09 Boolean programming
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References:

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