Abstract: To grasp the change of market competition trend,and fully acquaint industry competition situation,the most important thing for an entering enterprise to do is to choose locations which have the competitive advantage and developing prospect for the new facilities of the entering one.A large-scale enterprise will set up a number of manufacture/remanufacture firms and distribution/recycling centers and enter into a geographical market.There are already the same kinds of facilities in the market.Under the conditions,the entering enterprise and all competitors in the market form one-leader-multiple-follower Stackelberg strategies problem that is analyzed.An equilibrium model is developed to capture the change of the network equilibrium state caused by the entering one,and the change captured is led to the location decision process.A facility competition location model is build to determine location decision of these facilities to maximize the profit of the entering one under competitive condition,the amount of products produced,the amount of products transacted and the price,etc.According to characteristic of the model,a solution method integrates the genetic algorithm and QPADM method is built to solve the problem.Finally,numerical examples are solved and analyzed by using the proposed model and algorithm.

Key words: closed loop supply chain network, facility competition, equilibrium model