A class of random fuzzy programming model and its application to vehicle routing problem
نویسندگان
چکیده
Abstract. In this research we concentrate on developing and analyzing a programming model for a version of uncertain vehicle routing problems (VRPs). The customers demands are random fuzzy variables and the travel times between customers follow given probability distributions. Vehicles set out from a single depot, serve a number of customers and upon completion of their service, return to the depot. Each customer whose location is fixed has to be visited by exactly one and only one vehicle and a vehicle will be assigned for only one route. The objective is to minimize the total travel time while satisfying the capacity and arrival time constraints on the greatest degree. Due to the NP-hardness of uncertain VRPs, a pure genetic algorithm (GA) is presented. The proposed model and algorithm, which can be potentially useful in solving uncertain VRPs, provide significant solutions to a medical waste collection VRP in real-life.
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