Article1974

A Parametric Decomposition Approach for the Solution of Uncapacitated Location Problems

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Facility Location and Emergency Management Complexity and Algorithms in Graphs Optimization and Mathematical Programming

Abstract

This paper presents a new approach to determining the optimal facility locations for uncapacitated location problems in two stages. First, it is shown that a subset of all solutions to the uncapacitated public facility location problem can be obtained by considering a closely related private location problem. The exact nature of the problem is established using the Generalized Lagrange Multiplier results given by Everett. In the second section of the paper a particularly efficient parametric decomposition algorithm, which is based on the results of the first section, is presented. Computational results are given which summarize the current level of experience with the algorithm.

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References

1970Central Facilities Location 1966A Branch-Bound Algorithm for Plant Location 1964On the Location of Supply Points to Minimize Transport Costs 1970An Analysis of Private and Public Sector Location Models 1972An Efficient Branch and Bound Algorithm for the Warehouse Location Problem 1969A branch‐bound algorithm for the capacitated facilities location problem 1970Central Facilities Location under an Investment Constraint 1969Branch-and-Bound and Approximate Solutions to the Capacitated Plant-Location Problem

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1981A Unifying Framework for Public Facility Location Problems—Part 1: A Critical Overview and Some Unsolved Problems 1982Dynamic versions of set covering type public facility location problems 2005Efficient primal-dual heuristic for a dynamic location problem 2004Load balancing and capacity constraints in a hierarchical location model 1979A Note Comparing Optimal and Heuristic Solutions To the p‐Median Problem 2004

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