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首页> 外文期刊>Journal of Industrial Engineering and Management >Discrete-time retrial queue with Bernoulli vacation, preemptive resume and feedback customers
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Discrete-time retrial queue with Bernoulli vacation, preemptive resume and feedback customers

机译：离散时间重试队列，伯努利假期，抢先式简历和反馈客户

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Purpose: We consider a discrete-time Geo/G/1 retrial queue where the retrial time follows a general distribution, the server subject to Bernoulli vacation policy and the customer has preemptive resume priority, Bernoulli feedback strategy. The main purpose of this paper is to derive the generating functions of the stationary distribution of the system state, the orbit size and some important performance measures. Design/methodology: Using probability generating function technique, some valuable and interesting performance measures of the system are obtained. We also investigate two stochastic decomposition laws and present some numerical results. Findings: We obtain the probability generating functions of the system state distribution as well as those of the orbit size and the system size distributions. We also obtain some analytical expressions for various performance measures such as idle and busy probabilities, mean orbit and system sizes. Originality/value: The analysis of discrete-time retrial queues with Bernoulli vacation, preemptive resume and feedback customers is interesting and to the best of our knowledge, no other scientific journal paper has dealt with this question. This fact gives the reason why efforts should be taken to plug this gap.
机译：目的：我们考虑一个离散时间的Geo / G / 1重试队列，其中重试时间遵循一般分配，服务器服从Bernoulli休假策略，并且客户具有抢先的恢复优先级，即Bernoulli反馈策略。本文的主要目的是推导系统状态的静态分布，轨道大小和一些重要性能指标的生成函数。设计/方法：使用概率生成函数技术，获得了一些有价值和有趣的系统性能指标。我们还研究了两种随机分解定律，并给出了一些数值结果。研究结果：我们获得了系统状态分布以及轨道大小和系统大小分布的概率生成函数。我们还获得了各种性能度量的一些解析表达式，例如闲置和忙碌概率，平均轨道和系统大小。独创性/价值：使用伯努利假期，抢先性简历和反馈客户对离散时间重试队列进行分析是有趣的，并且就我们所知，没有其他科学期刊论文可以解决这个问题。这个事实说明了为什么要努力弥补这一差距的原因。

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