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.

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