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首页> 外文期刊>International journal of computing science and mathematics >Analysis of bulk queue with unreliable service station, second optional repair, N-policy multiple vacation, loss and immediate feedback in production system
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Analysis of bulk queue with unreliable service station, second optional repair, N-policy multiple vacation, loss and immediate feedback in production system

机译：批量队列与不可靠的服务站的批量队列分析，第二次可选修复，N策略多度假，生产系统中的损失和立即反馈

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摘要

In this paper an unreliable server bulk service queue with second optional repair, multiple vacation under N-policy, customer's feedback and impatience are considered. After finishing a service, the server avails a multiple vacation under N-policy only when the queue length is less than 'a'. Server vacation models are very much useful for a queueing system in which server needs to utilise his idle time for a different purpose. The server is subject to breakdown during the service and requires second optional repair for restoration. After repair completion, the server will start its remaining service to the batch of customers whose service was interrupted. Further, it is assumed that the arriving units may balk (loss) from the system when the server is on vacation and immediate feedback service was provided to the dissatisfied customers. The queue size distribution at a random and departure epoch has been derived using the supplementary variable technique. Finally, the stability condition, some performance measures, particular cases and numerical results of the proposed model are obtained.
机译：在本文中，一个不可靠的服务器批量服务队列，具有第二个可选修复，在N-Policy下的多个假期，考虑了客户的反馈和不耐烦。完成服务后，仅当队列长度小于“A”时，服务器才会在N-策略下在n策略下发出多个假期。服务器度假型号非常有用，在其中服务器需要使用他的空闲时间以获得不同的目的。服务器在服务期间受到细分，并且需要第二个可选修复以进行恢复。修复完成后，服务器将其剩余服务启动到其服务中断的批次客户。此外，假设到达单元可以从系统处于假期和立即反馈服务时从系统中的BALK（丢失）提供给不满意的客户。随机和出发时期的队列大小分布已经使用补充变量技术导出。最后，获得了稳定性条件，一些性能测量，特定情况和所提出的模型的数值结果。

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