Fuzzy stochastic linear programming-based approach for multiple departures single destination multiple travelling salesman problem

Seyed Gholamreza Jalali Naini, Mohammad Mahdi Paydar, Javid Jouzdani and Mohammad Fathian

International Journal of Operational Research, 2013, vol. 17, issue 4, 417-435

Abstract: The multiple departures single destination multiple travelling salesmen problem (MDmTSP) is a problem in which two or more salesmen start from any node of departure and finish their tour by reaching a single specific destination node. In many real-life problems, the decision should be made according to information which is both possibilistically imprecise and probabilistically uncertain. Although consistency indexes provide a union nexus between possibilistic and probabilistic representation of uncertainty, there are no reliable transformations between them. A means to this end is fuzzy stochastic linear programming. In this paper, a realistic environment for MDmTSP with fuzzy stochastic distance between nodes is investigated. To justify the proposed approach and to illustrate its efficiency in real-life problems, a case of employees' bus transport routing problem (EBTRP) is presented.

Keywords: MDmTSP; fuzzy stochastic linear programming; FSLP; bus transport; employee buses; vehicle routing problem; EBTRP; multiple departures; single destination; travelling salesman problem; TSP; multiple travelling salesmen. (search for similar items in EconPapers)
Date: 2013
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