马尔可夫到达过程下具有单假期和多假期的状态依赖批处理服务队列

Q4 Decision Sciences

International Journal of Operational Research Pub Date : 2022-08-27 DOI:10.1504/ijor.2022.10052122

G. Tamrakar, Adrish Banerjee

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引用次数: 0

摘要

研究了一种无限缓冲批处理服务休假队列，其中批处理的服务率取决于批处理的大小，休假率取决于休假起始时刻队列的大小。到达遵循马尔可夫到达过程(MAP)。对于服务规则，考虑GBS (general bulk service)规则。服务时间和休假时间都被认为是普遍分布的。利用二元向量生成函数法和补充变量技术(SVT)得到了几个感兴趣的联合分布。数值结果显示了系统性能的变化，验证了分析结果。

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On state dependent batch service queue with single and multiple vacation under Markovian arrival process

An infinite buffer batch service vacation queue has been studied where service rate of the batch is dependent on the size of the batch and vacation rate is dependent on the queue size at vacation initiation epoch. The arrivals follow the Markovian arrival process (MAP). For service rule, general bulk service (GBS) rule is considered. The service time and vacation time both are considered to be generally distributed. Several joint distributions of interest are obtained using the bivariate vector generating function method and the supplementary variable technique (SVT). Numerical results are presented to show the behavior of the system performance to validate the analytical results.

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来源期刊

International Journal of Operational Research Decision Sciences-Management Science and Operations Research

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： IJOR is a fully refereed journal generally covering new theory and application of operations research (OR) techniques and models that include inventory, queuing, transportation, game theory, scheduling, project management, mathematical programming, decision-support systems, multi-criteria decision making, artificial intelligence, neural network, fuzzy logic, expert systems, and simulation. New theories and applications of operations research models are welcome to IJOR. Modelling and optimisation have become an essential function of researchers and practitioners in a networked global economy. New theory development in operations research and their applications in new economy and society have been limited.