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排队系统合作已成为提高排队系统服务水平,降低服务成本的一种重要方式。本文研究了仅共享资源的排队系统合作的费用分配问题。利用合作博弈理论,建立排队系统合作博弈模型来讨论费用分配方案。首先讨论了Shapley值分配法和比例分配法,然后重点讨论了基于核心的分配法,并设计了一种既计算简单且在核心中的分配方案。最后通过仿真分析验证了基于核心的分配法较Shapley值分配法和比例分配法的优越性。
Queuing system cooperation has become an important way to improve the service level of the queuing system and reduce the service cost. This paper studies the cost allocation of queuing system with shared resources only. Cooperative game theory is used to establish queuing system cooperative game model to discuss the cost allocation plan. We first discuss the Shapley value distribution method and the proportional distribution method, then we focus on the core-based allocation method and design a distribution scheme that is both simple and core. Finally, the superiority of the core-based distribution method over the Shapley value distribution method and the proportional distribution method is verified through simulation analysis.