Abstract: In order to enhance the collecting initiative,we formulate,in this paper,a new mixed-integer nonlinear facility location model of reverse logistics network for the trade-in acquisition method to find out both the optimal location of facility and the optimal rebate for trade-in,as so to maximum net profits of collection centers.We also propose a heuristic method to solve the large-sized instance for our model and the computational result of the instances illustrate the efficiency and feasibility of the above models and methodsFinally,we analysis the influence on net profits of collection centers respectively by numerical simulation examples from two aspects:the leading enterprise's Brand differences and adopting two strategies(Uniform incentive strategy and quality-dependent incentive strategy).

Key words: collection centers location, trade-in, MINLP, heuristic, Brand differences, policy strategies