关键词: 数学规划模型, 改进遗传－粒子群优化混合算法, 合作博弈论, 联盟稳定性, 严格单调路径

Abstract: To overcome the deficiencies of optimization study of joint distribution problem in profit allocation mechanism,a multi-center joint distribution optimization method was presented before the profit allocation optimization.On the basis of distribution cost from distribution centers to distribution units and transportation cost among distribution centers,a mathematical programming model was established to minimize the cost of multi-center joint distribution network,and an improved Genetic Algorithm-Particle Swarm Optimization (GA-PSO) algorithm was also presented to solve the model.Minimum Costs-Remaining Savings (MCRS) model was used to gain the profit allocation scheme based on multi-center joint distribution optimization cost,and compared with different profit allocation models in cooperative game theory.The alliance stability model was proposed to analyze the advantages and disadvantages among profit allocation models.Strictly Monotonic Path (SMP) method was presented to analyze the optimal coalition sequence of alliance members.The effectiveness of proposed method was verified through an example,and the results showed that the cooperation alliance stability could be improved by the proposed method used in multi-center joint distribution profit allocation optimization,and the method could also be used in the logistics distribution network optimization process based on multi-center cooperation alliance stability.

Key words: mathematical programming model, improved genetic algorithm-particle swarm optimization, cooperative game theory, alliance stability, strictly monotonic path