有限容量的循环服务可修排队系统

The Repairable Cyclic Service Queueing Systems with Finite Capacity

假设第ｉ类顾客按泊松流来到服务站ｉ（ｉ＝１，２），顾客的服务时间，“服务员”的工作寿命、维修时间和他在２个服务站间的转移时间分布都是相位型分布，在穷竭服务、普通服务和混合服务规则下，对每个服务站容量为有限的单服务员循环服务可修排队系统以统一形式进行研究，给出了该系统稳态下的排队论和可靠性的主要指标．

This paper analyzed the repairable cyclic service queueing systems in which i class customers arrive at i station according to Poisson flow, and distributions of the service time, the life time, the repairative time and switching time are all distributions of phase type. Under the exhaustive, limited and mixed disciplines, and gave both main performance measures of the queue and reliability indices of the repairable single server cyclic service queueing systems with finite capacity in equilibrium.