【摘要】 研究了带有正、负顾客且顾客容量有限的M/M/1/N多重休假排队系统,引入不耐烦、空竭服务、反馈和启动期策略,同时假设服务台可能发生故障.利用马尔科夫过程理论建立系统稳态矩阵方程组,并利用矩阵几何解和分块矩阵方法得到了稳态概率的矩阵解,求出了系统稳态下的一些性能指标.最后运用Matlab软件进行数值分析,为系统的优化设计提供参考.更多还原

【Abstract】 This paper studies an M/M/1/N multiple working vacation queuing system with limited capacity,in which customers are either "positive"or "negative",introducing impatient strategy, exhaustive service,feedback and set-up time,simultaneously assuming desk may malfunction.The matrix form solution of steady-state probability is derived by the Markov process method,and the steadystate probability in matrix form is derived by using matrix-geometric solution and block-matrix-solution method,some reliable indices of the steady-state system are given.Finally,the corresponding numerical analysis is made by Matlab,which would provide a basis for optimal design.更多还原