全文下载：2013020216
郭宏侠, 徐秀丽, 耿杰
（燕山大学 理学院, 河北 秦皇岛 066004）
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。
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
中图分类号： O 226文献标志码：A
Geo/Geo/1 Working Vacation Queue with N-Policy and Set-up Time and Negative Customers
GUO Hong-xia， XU Xiu-li， GENG Jie
(College of Science, Yanshan University, Qinhuangdao 066004，China)
Abstract: 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 decomposition of the queue length.
Key words: working vacation; N-policy; set-up time; matrix-geometric solution; stochastic decomposition
收稿日期：2012-06-08
基金项目： 国家自然科学基金项目(71071134)
作者简介： 郭宏侠（1987-），硕士研究生.
