有负顾客到达的M/M/c/N可修排队模型  

Repairable M/M/c/N queuing system with negative customers

作　　者：许厅厅[1] 岳德权[1] 王玲[1] 李海英[1] 曾慧[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《山东理工大学学报（自然科学版）》2009年第6期1-5,共5页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(70671088)

摘　　要：研究了具有负顾客到达的M/M/c/N排队模型,其中负顾客到达抵消一个正在服务的正顾客,系统中多个服务台都可能发生故障且可修.通过矩阵分块的迭代解法求出了稳态概率的精确解,得到系统的一些稳态排队指标和稳态故障频度、可用度等可靠性指标.在此基础上利用MAT-LAB通过数值算例,考察了系统某些参数对系统平均顾客数和稳态可用度的影响.In this paper,we consider an M/M/c/N queuing system with negative customers.In this system,the arriving of a negative customer offsets a positive customer in service,and all servers may breakdown and can be repaired.Using the iterative solution of matrix block,we derive the exact solutions of the steady-state probability of the system.Besides,we get steady-state queuing performance measures and the reliability measures such as the steady-state failure frequency and availability of the system.Based on these analyses,by MATLAB software,we study the effects of some parameters on the expected number of customers and steady-state availability through numerical examples.

关 键 词：排队系统 负顾客 可靠性 可用度 QBD过程 

分 类 号：O226[理学—运筹学与控制论]