带负顾客的N策略启动时间的Geo/Geo/1工作休假排队  

Geo/Geo/1 Working Vacation Queue with N-Policy and Set-up Time and Negative Customers

作　　者：郭宏侠[1] 徐秀丽[1] 耿杰[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《青岛科技大学学报（自然科学版）》2013年第2期216-220,共5页Journal of Qingdao University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金项目(71071134)

摘　　要：研究了正、负两类顾客的离散时间Geo/Geo/1多重工作休假排队模型,并加入N策略和启动时间,负顾客不接受服务,并只起一对一抵消队首正接受服务的顾客的作用,即服从RCH(Remove customer from head)策略。使用拟生灭过程及矩阵几何解方法得到队长的稳态分布,进一步得出了系统队长的随机分解的结果。This paper deals with a Geom/Geom/1 queue with multiple working vacayions in which customers are either ＂positive＂ or ＂negative＂ , in addtion to N-policy . negative customers need not accept service, positive customers remove only one by one at the head when they are served, which obeys RCH policy. Using quasi-birth-and-death process and matrix-geometric solution method , the paper gains concise expressions of the steady state distributions for queue length, and obtains the result of stochastic de- composition of the queue length.

关 键 词：工作休假 N策略 启动时间 矩阵几何解 条件随机分解 

分 类 号：O226[理学—运筹学与控制论]