Dynamic optimization design for integrated forward/reverse logistics network with stochastic environment

A multi-commodity, multi-period, capacitated-constrained dynamic optimization model with chance constrained programming is presented to the problem of manufacturing´s integrated forward/reverse logistics network design, to solve the problem when and where can open or close plants and logistics centers, when can expand logistics centers and how much, and the flow distribution. Since such network design problem belongs to a class of NP hard problems, a combination genetic algorithm is presented. Finally a numerical example is used to prove the model and combination genetic arithmetic validity.