A discrete time queueing system with negative customers and single working vacation

机译：具有负面客户和单休假的离散时间排队系统

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In this paper, we analyze a discrete time queueing system with geometrical arrivals of both positive and negative customers in which the server works at a lower rate during working vacation. Using embedded Markov chain and the matrix analysis solution method, we derive the probability generating function (PGF) of the number of customers waiting in the system and stationary queue length. From the process of the proof and the results, we also obtain the probabilities that the server is idle, busy, in working vacation, and in regular busy period, respectively. Finally, We introduce the application of the proposed model.

机译：在本文中，我们分析了具有正负客户的几何到达的离散时间排队系统，其中服务器在工作休假期间以较低的速率工作。使用嵌入式马尔可夫链和矩阵分析解决方案方法，我们得出了系统中等待的客户数量和固定队列长度的概率生成函数（PGF）。从证明和结果的过程中，我们还分别获得了服务器空闲，繁忙，工作休假和正常繁忙时段的概率。最后，我们介绍了所提出模型的应用。

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《2011 3rd International Conference on Computer Research and Development》|2011年|p.15-19|共5页
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Songfang Jia; Yanheng Chen;
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中图分类计算技术、计算机技术;
关键词
Discrete time queue; Negative customers; Single working vacation;

机译：离散时间队列;负面客户;单次工作假期;

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1. THE ANALYSIS OF DISCRETE TIME GEOM/GEOM/1 QUEUE WITH SINGLE WORKING VACATION AND MULTIPLE VACATIONS (GEOM/GEOM/1/SWV+MV) [J] . Ye Qingqing, Liu Liwei RAIRO Operation Research . 2018,第1期

机译：单工作休假和多休假离散时间GEOM / GEOM / 1排队（GEOM / GEOM / 1 / SWV + MV）的分析
2. Discrete-Time Geox/G/1 Retrial Queue with General Retrial Times, Working Vacations and Vacation Interruption [J] . Shan Gao, Jinting Wang Quality Technology and Quantitative Management . 2013,第4期

机译：离散时间Geox / G / 1重试队列，具有一般的重试时间，工作假期和假期中断
3. Analysis of Discrete-Time Single Server Queue with Balking and Multiple Working Vacations [J] . Vijaya Laxmi, V. Goswami, K. Jyothsna Quality Technology and Quantitative Management . 2013,第4期

机译：带有停车和多个工作休假的离散时间单服务器队列分析
4. A discrete time queueing system with negative customers and single working vacation [C] . Songfang Jia, Yanheng Chen International Conference on Computer Research and Development . 2011

机译：带负客户和单一工作度假的离散时间排队系统
5. Three essays on the Bayesian analysis of discrete time queueing systems with applications on emergency room gridlocks. [D] . Caglar, Toros. 2011

机译：关于离散时间排队系统的贝叶斯分析及其在急诊室僵局中的应用的三篇论文。
6. A Discrete Event Simulation Model for Evaluating the Performances of an M/G/C/C State Dependent Queuing System [O] . Ruzelan Khalid, Mohd Kamal M. Nawawi, Luthful A. Kawsar, -1

机译：评估M / G / C / C状态相关排队系统性能的离散事件仿真模型
7. The Discrete Time Geo G/ /1 Queue with Negative Customers and Multiple Working Vacations [O] . Yanheng Chen, Songfang Jia 2013

机译：具有负顾客和多个工作假期的离散时间地理G / / 1排队

A discrete time queueing system with negative customers and single working vacation

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