Abstract
Vehicle routing problem is concerned with finding optimal collection or delivery routes in a transportation network, beginning and ending at a central depot, for a fleet of vehicles to serve a set of customers under some constraints. Assuming the travel times between two customers are uncertain variables, this paper proposes an uncertain multilevel programming model for a vehicle routing problem, of which the leader’s object is to minimize the total waiting times of the customers, and the followers’ objects are to minimize the waiting times of the vehicles for the beginning moments of the customers’ time windows. The uncertain multilevel programming model is transformed into a determinacy programming model, and an intelligent algorithm is designed for solving the crisp model.
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This work was supported by the Humanities and Social Science Foundation of the Ministry of Education of China (10YJC63021) and National Natural Science Foundation of China (71402121).
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Ning, Y., Su, T. A multilevel approach for modelling vehicle routing problem with uncertain travelling time. J Intell Manuf 28, 683–688 (2017). https://doi.org/10.1007/s10845-014-0979-3
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DOI: https://doi.org/10.1007/s10845-014-0979-3