7. Conclusions
This paper studies the MCVR optimization and profit distribution problem, where vehicle routes among DCs can be optimized and adjusted from a global optimization perspective. The optimization process is organized by either LSP or existing participants in a logistics network. A multi-phase hybrid approach with clustering, dynamic programming, and heuristic algorithm is presented to optimize the multicenter network. A profit distribution method based on an improved Shapley value model is then proposed to distribute the gained profits among DCs. MCVRP optimization and profit distribution problems are interrelated, and LSP can organize the negotiation procedure to distribute cost savings from MCVRP optimization among DCs. Through the above procedures, robustness and reliability of large-scale logistics distribution network can be enhanced, and network complexity can be reduced.
The MCVRP optimization model is first constructed to optimize the total costs of nonempty coalition logistics network, followed by the multi-phase hybrid approach to solve the model. Then, profit distribution is calculated based on the improved Shapley value model among DCs from non-empty coalitions. Finally, cost reduction percentages and optimal sequential coalitions can be obtained based on the SMP theory, cost reduction model, and best sequential coalition selection strategy. The proposed approach is successfully applied to a multi-center distribution network in Chongqing City, China, and compared with other prevailing algorithms based on cooperative game theory. Results demonstrated that the proposed approach outperforms other algorithms, and the best sequential coalition can be selected. Moreover, the synergy requirement value can be adjusted to increase the negotiation power for logistics distribution network optimization.