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A Parametric Approach for a Nonlinear Discrete Location Problem
Authors:J. Sun  Y. Gu
Affiliation:(1) Department of Decision Sciences and Singapore-MIT Alliance, National University of Singapore, Republic of Singapore, 119260;(2) Department of Decision Sciences, National University of Singapore, Republic of Singapore, 119260
Abstract:A discrete location problem is formulated for the design of a postal service network. The cost objective of this problem includes a nonlinear concave component. A parametric integer programming algorithm is developed to find an approximate solution to the problem. The algorithm reduces the problem into a sequence of p-median problems and deals with the nonlinear cost by a node-replacement scheme. Preliminary computational results are presented.
Keywords:facility location problem  heuristic algorithm  integer programming
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