The fuzzy set theory approach to the vehicle routing problem when demand at nodes is uncertain

The problem of vehicle routing when demand at the nodes is uncertain is considered. The quantities to be picked up at the nodes are assumed to be only approximately known. A network with one depot from which vehicles depart and to which they return after completing their service is considered. The paper develops a model to design vehicle routing when demand at the nodes is uncertain. The model is based on the heuristic ‘sweeping’ algorithm, the rules of fuzzy arithmetic and fuzzy logic.