| 有Bernoulli休假和可选服务的Geo/G/1重试排队 |
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| 引用本文： | 陈佩树,朱翼隽,陈燕.有Bernoulli休假和可选服务的Geo/G/1重试排队[J].数学的实践与认识,2011,41(3). |
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| 作者姓名： | 陈佩树 朱翼隽 陈燕 |
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| 作者单位： | 1. 巢湖学院数学系,安徽,巢湖,238000
2. 江苏大学,理学院,江苏,镇江,212013 |
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| 基金项目： | 国家自然科学基金(70571030,10571076); 安徽省2010年高校省级优秀青年人才基金(2010SQRL129); 巢湖学院科研启动基金(XLZ-200901) |
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| 摘 要： | 讨论了有Bernoulli休假策略和可选服务的离散时间Geo/G/1重试排队系统.假定一旦顾客发现服务台忙或在休假就进入重试区域,重试时间服从几何分布.顾客在进行第一阶段服务结束后可以离开系统或进一步要求可选服务.服务台在每次服务完毕后,可以进行休假,或者等待服务下一个顾客.还研究了在此模型下的马尔可夫链,并计算了在稳态条件下的系统的各种性能指标以及给出一些特例和系统的随机分解.
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| 关 键 词： | 离散时间重试排队 Bernoulli休假 可选服务 随机分解 |
A Discrete-Time Geo/G/1 Retrial Queue with Bernoulli Vacation and Second Optional Service |
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| CHEN Pei-shu,ZHU Yi-jun,CHEN Yan.A Discrete-Time Geo/G/1 Retrial Queue with Bernoulli Vacation and Second Optional Service[J].Mathematics in Practice and Theory,2011,41(3). |
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| Authors: | CHEN Pei-shu ZHU Yi-jun CHEN Yan |
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| Institution: | CHEN Pei-shu~1,ZHU Yi-jun~2,CHEN Yan~2 (1.Department of Mathematics,Chaohu University,Chaohu 238000,China) (2.Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
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| Abstract: | We analyze a discrete-time Geo/G/1retrial queue with Bernoulli vacation where all the arriving customers require a first essential service while only some of them demand a second optional service.If upon arrival,the server is busy or vacation,the customer is obliged to leave the service area and to orbit.Each customer in the orbit forms an independent retrial source and the retrial time follows a geometrical law.Just after completion of a customer's service the server may take a vacation of random length or... |
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| Keywords: | discrete-time retrial queue Bernoulli vacation optional service stochastic decomposition |
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