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A Parametric Approach for a Nonlinear Discrete Location Problem

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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.

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References

  • G. Cornuéjols, M.L. Fisher, and G.L. Nemhauser, “The un capacitated facility location problem,” in Discrete Location Theory, P.B. Mirchandani and R.L. Francis (Eds.), Wiley-Interscience: New York, 1977.

    Google Scholar 

  • M.S. Daskin, Network and Discrete Location: Models, Algorithms, and Applications, Wiley: New York, 1995.

    Google Scholar 

  • F.E. Maranzana, “On the location of supply points to minimize transport costs,” Operational Research Quarterly, vol. 15, pp. 261–270, 1964.

    Google Scholar 

  • M.B. Teitz and P. Bart, “Heuristic methods for estimating generalized vertex median of a weighted graph,” Operations Research, vol. 16, pp. 955–961, 1968.

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Sun, J., Gu, Y. A Parametric Approach for a Nonlinear Discrete Location Problem. Journal of Combinatorial Optimization 6, 119–132 (2002). https://doi.org/10.1023/A:1013802826295

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  • DOI: https://doi.org/10.1023/A:1013802826295

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