| 带负顾客的N策略启动时间的Geo/Geo/1工作休假排队 |
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| 引用本文： | 郭宏侠,徐秀丽,耿杰. 带负顾客的N策略启动时间的Geo/Geo/1工作休假排队[J]. 青岛科技大学学报(自然科学版), 2013, 0(2): 216-220 |
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| 作者姓名： | 郭宏侠 徐秀丽 耿杰 |
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| 作者单位： | 燕山大学理学院 |
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| 基金项目： | 国家自然科学基金项目(71071134) |
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| 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。
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| 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 |
Geo/Geo/1 Working Vacation Queue with N-Policy and Set-up Time and Negative Customers |
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| GUO Hong-xia,XU Xiu-li,GENG Jie. Geo/Geo/1 Working Vacation Queue with N-Policy and Set-up Time and Negative Customers[J]. Journal of Qingdao University of Science and Technology:Natutral Science Edition, 2013, 0(2): 216-220 |
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| Authors: | GUO Hong-xia XU Xiu-li GENG Jie |
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| Affiliation: | (College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| 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. |
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| Keywords: | working vacation N-policy set-up time matrix-geometric solution stochastic decomposition |
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