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首页> 外文期刊>International journal of management science and engineering management >Study of customers' impatience in a GI/M/1/N queue with working vacations
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Study of customers' impatience in a GI/M/1/N queue with working vacations

机译：在有工作假期的GI / M / 1 / N队列中研究客户的不耐烦

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摘要

This paper presents a renewal input finite buffer queueing system with balking, reneging and multiple working vacations. Arriving customers decide either to enter the system or to balk, and renege (leave the queue after entering) without being served, based on their desire for service, or their unwillingness for waiting. The inter-arrival times of customers are assumed to be arbitrarily distributed. Service times during a service period, vacation times and service times during vacation are assumed to be exponentially distributed. Employing the supplementary variable technique, we provide a recursive algorithm to compute the stationary system length distributions during vacations and regular busy periods. Based on the various system length distributions, various performance measures of the model and some special cases have been investigated. Numerical results illustrating the effect of the parameters on several performance characteristics are also presented.
机译：本文提出了一种具有停电，停电和多个工作休假的更新输入有限缓冲区排队系统。到达的客户基于对服务的渴望或不愿等待而决定不进入系统而拒绝进入系统或放弃（进入系统后离开队列）。假定客户的到达时间是任意分配的。假定服务期内的服务时间，休假时间和休假期间的服务时间呈指数分布。利用补充变量技术，我们提供了一种递归算法来计算假期和正常繁忙时段的固定系统长度分布。基于各种系统长度分布，研究了模型的各种性能指标以及一些特殊情况。数值结果说明了参数对几种性能特征的影响。

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