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Check record to add to Selected Records Add to selected records Accession number: 20161202140225 Title: The stochastic decomposition structure of the waiting time for M/G/1/∞ queue with N-policy and Min(N, V)-policy Authors: Tang, Yinghui1, 2 Email author tangyh@uestc.edu.cn; Lan, Shaojun1 Author affiliation: 1 School of Mathematics and Software Science, Sichuan Normal University, Chengdu, China 2 School of Fundamental Education, Sichuan Normal University, Chengdu, China Source title: Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice Abbreviated source title: Xitong Gongcheng Lilum yu Shijian Volume: 36 Issue: 1 Issue date: January 25, 2016 Publication year: 2016 Pages: 174-183 Language: Chinese ISSN: 10006788 CODEN: XGLSE2 Document type: Journal article (JA) Publisher: Systems Engineering Society of China Abstract: In some studies concerning M/G/1/∞ queueing models with N-policy, since the waiting time for a customer arriving during a server off-duty period is no longer independent of the inter-arrival times of customers arriving later, it is difficult to investigate the distribution of equilibrium waiting time, and considerable effort is devoted to study the steady-state queue length and additional queue length of queueing system, while there is relatively little work done on the stationary waiting time and its stochastic decomposition. Due to the fact, in this paper we firstly treat the classical N-policy M/G/1/∞ queueing system. We study the waiting time distribution in equilibrium, and present the stochastic decomposition result of steady-state waiting time as well as the explicit expression for the distribution of additional delay time. Meanwhile, some errors on corresponding results in existed references are pointed out. Further, we consider the M/G/1/∞ queueing systems with multiple server vacations and single server vacation under Min(N, V)-policy. By similar analytical method, we not only obtain the stochastic decomposition result of equilibrium waiting time but also derive the formulas for the mean stationary waiting time and mean additional delay time. Especially, some corresponding results for some special queueing systems can be directly obtained on the basis of the results provided in this paper. © 2016, Systems Engineering Society of China. All right reserved. Number of references: 31 Main heading: Stochastic models Controlled terms: Queueing networks - Queueing theory - Stochastic systems Uncontrolled terms: Additional delay time - Additional queue length - Inter-arrival time - N policies - Stationary waiting time - Stochastic decomposition - Waiting time distributions - Waiting-time Classification code: 922.1Probability Theory - 961Systems Science DOI: 10.12011/1000-6788(2016)01-0174-10 Database: Compendex Compilation and indexing terms, © 2017 Elsevier Inc. |
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