N策略、负顾客、反馈Geo/Geo/1多重休假排队模型  

The Geo/Geo/1 queue model with N-policy、negative customer、feedback and multiple vacation

作　　者：孙贵勇[1] 朱翼隽[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《山东大学学报（理学版）》2010年第2期37-43,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(70571030)

摘　　要：研究了一个带有N策略、负顾客和反馈的多重休假Geo/Geo/1离散时间排队系统。服务的开始由N策略确定,到达的负顾客不接受服务,只抵消正在接受服务的正顾客,若系统处于假期,则到达的负顾客自动消失。完成服务的正顾客以一定的概率反馈到队尾寻求再次服务。利用拟生灭过程和矩阵几何解的方法得到了队长稳态分布的存在条件和表达式,系统处于假期和忙期的概率以及稳态下系统队长的条件随机分解和由休假引起的附加队长的分布表达式。A queue of the Geo/Geo/1 model with N-policy, negative customers, feedback and multiple vacations is discussed. The starting time of service is determined by N-policy： Negative customers need not accept service, only removing the positive customer who is accepting service one by one. When a negative customer arrives and the system is on vacation, it will automatically disappear. Just after completion of its service, the positive customer may feeds back for the next service with certain probability. The equilibrium condition and concise expression of the steady-state distribution for the queue length are obtained by using the QBD process and the matrix-geometric solution method as well as the probability when the system is on vacation or busy. At the same time, the conditional stochastic decomposition structure of the queue length in the steady state and the distribution of additional queue length caused by vacations are alse acquired.

关 键 词：离散时间排队 负顾客 N策略 矩阵几何解 条件随机分解 

分 类 号：O226[理学—运筹学与控制论]