Browsing Mathematics by Author "Stanimirović, Zorica"
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Stanimirović, Zorica (Faculty of Mathematics, Belgrade, Serbia , 2004)[more][less]
Abstract: In this work a genetic algorithm (GA) for solving Uncapacitated Multiple Allocaton p-hub Median Problem (UMApHMP), Uncapacitated Multiple Allocaton p-hub Center Problem (UMApHCP) and Discrete Ordered Median Problem (DOMP) is described. These NP-hard problems have many applications in practice. Binary representation is used, genetic operators adopted to the problems are constructed and hybridization GA with modified interchange heuristic for solving DOMP is applied. Proposed algorithm is tested on the corresponding instances from the literature. For both hub location problems GA reaches all solutions that are proved to be optimal so far in a reasonable computational time, even for problem instances of higher dimensions. In this paper the solutions for the large-scaled problem instances (n=200, p=20) that are not reported in the literature yet are also presented. Significant results are also obtained on DOMP instances with dimensions n≤900, p≤200. For all problems GA solutions are comparable or better than ones obtained by existing methods. URI: http://hdl.handle.net/123456789/412 Files in this item: 1
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