A single server retrial queue with general retrial times and two-phase service

A single server retrial queue with general retrial times and two-phase service
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单服务器重试队列,具有一般重试次数和两阶段服务

DOI:
10.1007/s11424-009-9164-8
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发表时间:
2009-05
期刊:
系统科学与复杂性学报(英文版)
影响因子:
--
通讯作者:
Li, Jianghua
Li, Jianghua
中科院分区:
其他
文献类型:
--
作者:
Wang, Jinting;Li, Jianghua

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研究了具有先到先服务(FCFS)轨道、一般重试时间、两阶段服务和服务台故障的ANM/G/1重试排队系统。客户被允许在特定的时间犹豫不决和食言。假设发现服务器忙碌的客户按照FCFS规则在轨道上排队。所有客户都要求第一项“基本”服务,只有部分客户要求第二项“可选”服务,第二项服务是多项可选服务。在服务期间,服务器会受到故障和维修的影响。假设服务器的重试时间、服务时间和修复时间都是任意分布的。利用补充变量法,得到了有关排队和可靠性指标的稳态解。
AnM/G/ 1 retrial queue with a first-come-first-served (FCFS) orbit, general retrial time, two-phase service and server breakdown is investigated in this paper. Customers are allowed to balk and renege at particular times. Assume that the customers who find the server busy are queued in the orbit in accordance with an FCFS discipline. All customers demand the first “essential” service, whereas only some of them demand the second “optional” service, and the second service is multioptional. During the service, the server is subject to breakdown and repair. Assume that the retrial time, the service time, and the repair time of the server are all arbitrarily distributed. By using the supplementary variables method, the authors obtain the steady-state solutions for both queueing and reliability measures of interest.
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