Multi-objective Model for Logistics Distribution Programming Considering Logistics Service Level

To improve the customer satisfaction on the service of logistics distribution, a multi-objective optimization model for logistics distribution programming under the three-level supply chain was developed. In this model, minimization of total expenses and maximization of logistics service level were optimization objectives, and the influence of both the commodity processing ability and distribution time on the logistics service level was taken into account. Given that there is no single optimal solution for multi-objective optimization problems, a preference-based multi-objective evolutionary algorithm for solving the model was proposed with a pre-defined preference area and randomly generated weight vector used to establish the fitness function. The results show that by solving the model, ten non-inferior solutions are obtained, each of which represents a distribution program. The ten solutions without exception lie in the subjective preference area of the decision maker and reflect the conflict relationship between total expenses and logistics service level.