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A Parallel Cooperative Hybridization Approach to the p-Median Problem

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  • Ningchuan Xiao

    (Department of Geography, 1036 Derby Hall, 154 N Oval Mall, The Ohio State University, Columbus, OH 43210, USA)

Abstract

The p -median problem is difficult to solve and many heuristic methods have been developed. This paper discusses a new hybridization approach in which existing heuristics are used as ‘experts’ in a problem-solving team where they cooperate by sharing their solutions with each other. This approach is demonstrated using two heuristics called the ‘vertex substitution method’ and ‘simulated annealing’. Five cooperation strategies are designed and implemented using an application program interface for parallel programming. Computational experiments show that the strategy named ‘parallel consensus’ can significantly improve the quality of solutions found when compared with the original heuristics. The results also show significant speedups of the program in a multicore parallel computing environment.

Suggested Citation

  • Ningchuan Xiao, 2012. "A Parallel Cooperative Hybridization Approach to the p-Median Problem," Environment and Planning B, , vol. 39(4), pages 755-774, August.
  • Handle: RePEc:sae:envirb:v:39:y:2012:i:4:p:755-774
    DOI: 10.1068/b38004
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    References listed on IDEAS

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    1. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    2. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    3. Scott E. Page, 2007. "Prologue to The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies," Introductory Chapters, in: The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies, Princeton University Press.
    4. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
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