带有止步的成批到达的M^x/M/1/N多重工作休假排队系统  

M^x/M/1/N queuing system with balking, batch arrival and multiple working vacations

作　　者：赵晓华[1,2] 樊剑武[2] 田乃硕[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]燕山大学里仁学院,河北秦皇岛066004

出　　处：《燕山大学学报》2009年第2期178-183,共6页Journal of Yanshan University

基　　金：国家自然科学基金资助项目(10671170)

摘　　要：研究了带有止步的M^x/M/1/N多重工作休假排队系统。顾客成批到达,到达后每批中的顾客,或者以概率决定进入队列等待服务,或者以概率1止步。系统中一旦没有顾客,服务员立即进入多重工作休假。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的平均止步率等性能指标。An M^x/M/1/N queuing system was considered with balking and multiple working vacations. Customers arrive in batch and each arriving customer either decides to enter the queue with a probabilityor balk with a probability. The server takes multiple working vacations immediately when it becomes idle at a service completion instant. The matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as th...

关 键 词：多重工作休假 止步 矩阵解法 稳态概率 性能指标 

分 类 号：O226[理学—运筹学与控制论]