Many-to-many network design of fourth-party logistics with delivery time considered

In the situation that 4PL takes the logistics task of many supply-demand pairs, in order to provide efficient and timely logistics services, the problem of 4PL many-to-many network design with delivery time considered is studied. An optimization model is formulated, which minimizes the total logistics costs with the delivery time of the supply-demand pairs satisfying the required value. According to the characteristic of the problem, a differential evolution is developed. Finally, several experiments are presented to test the significance of the model as well as the effectiveness of the proposed algorithm.