Journal
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
Volume 35, Issue 5, Pages 1399-1416Publisher
UNIV NIS
DOI: 10.22190/FUMI2005399S
Keywords
p-median location problem; inverse optimization; Hybrid algorithm; nonlinear programming
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In this paper, we investigate the inverse p-median location problem with variable edge lengths and variable vertex weights on networks in which the vertex weights and modification costs are the independent uncertain variables. We propose a model for the uncertain inverse p-median location problem with tail value at risk objective. Then, we show that it is NP-hard. Therefore, a hybrid particle swarm optimization algorithm has been presented to obtain the approximate optimal solution of the proposed model. The algorithm contains expected value simulation and tail value at risk simulation.
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