New Technique for Solving P-Median Problems based on Fuzzy System and Genetic Algorithm
Abstract
Position analysis issues such as the placement of public service facilities, power stations, telecommunication network switches, and similar infrastructure constitute a broad and extensively studied domain within operations research. Due to their significant impact on resource utilization and operational efficiency, these problems are highly valued by managers across various service industries. Among the most prominent problems in this field is the P-Median Problem (PMP), for which numerous deterministic and heuristic solution methods have been developed. This research introduces a hybrid fuzzy approach to address the PMP. A bi-objective optimization model is formulated, with the first objective focusing on the minimization of total transportation cost and the second on maximizing the coverage of demand points by the facilities. The proposed algorithm is validated using benchmark problems available in the existing literature.
Keywords:
P-median problems, Bi-objective function, Genetic algorithm, Sexual selection, Fuzzy systemReferences
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