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《Chinese Journal of Engineering Mathematics》 2009-03
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The M/G/1 Queue under Vacation Policies with Closedown Time and the Random N-policy

FENG Jian-ying1,2, WU Yun-jiang2 (1- College of Agriculture, Nanjing Agricultural University, Nanjing 210095; 2- School of Science, Xi’an Jiaotong University, Xi’an 710049)  
This paper studies the characteristics of an M/G/1 queueing system with closedown time, the random N-policy and vacation policies, by the vector Markov process method. We derive the necessary and suffcient condition for the system being steady state. The system is analyzed in steady state by deriving expressions for the Laplace-Stieltjes transformations of the system characteristics, including the steady state queue length, the distributions of waiting time, vacation, idle period and two special queue length, i.e., the queue length after a served customer leaves and the one that the customer who just arrives the system.
【CateGory Index】: O226
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【Citations】
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1 WU Hui-ling~(1),FANG Chun-feng~(2)(1.Nanhai College,South China Normal University,Foshan 528225,Guangdong,China;2.M-Time Corporation Limited,Guangzhou 510620,China);AN M/G/1 RETRIAL QUEUE WITH VACATION THRESHOLD M AND CUSTOMER LOSS[J];Journal of South China Normal University(Natural Science Edition);2006-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Jiang-hua,WANG Jin-ting (School of Science,Beijing Jiaotong University,Beijing 100044,China);M/M/N Queue System with Balking Reneging and Server Breakdowns[J];Journal of Beijing Jiaotong University;2006-03
2 ZHAO Jian-zhong1,XU Ting-xue2,MAO Xu-dong1,ZHANG Feng1(1.Administrant Brigade of Postgraduate,Naval Aeronautical Engineering Institute,Yantai 264001,China;2.Dept.of Ordnance Science & Technology,Naval Aeronautical Engineering Institute,Yantai 264001,China);Application of Repairable M/G/c/∞ Queuing Theory in Quantity Prediction of Support Equipment for Missiles[J];Ordnance Industry Automation;2009-03
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4 MA Yong-mei QIAN Yun (Department of Mathematics,Chaohu College,Chaohu 238000,China);The generalized M~x/G/1 queue system with single vacations[J];Pure and Applied Mathematics;2008-02
5 ZHAO Guo xi, ZHU Yi jun (Faculty of Science, Jiangsu University, Zhenjiang, 212013, China);Priority queue with flow control[J];Journal of Chengdu University of Information Technology;2004-02
6 GU Qing-feng,ZHU Yi-juan (Faculty of Science,Jiangsu University,Zhenjiang,212013,China);M/M/1 queuing system with Bernoulli feedback and working vacations[J];Journal of Chengdu University of Information Technology;2008-04
7 CHEN Jie,ZHU Yi-juan(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);M/M/c queue with N-policy and multiple working vacations[J];Journal of Chengdu University of Information Technology;2008-05
8 LIU Jing-jing,ZHU Yi-jun(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);GI/M/I queue system with negative customers and working vacations and vacation interruption[J];Journal of Chengdu University of Information Technology;2008-05
9 WANG Hong-yong,ZHU Yi-juan(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);Function analysis of multi-server queuing system in production-inventory model[J];Journal of Chengdu University of Information Technology;2009-02
10 LIU Ya-zhen,TIAN Nai-shuo,XIU Chun(College of science,Yanshan University,Qinhuangdao 066004,China);Geom~X/G/1 queue of multiple vacations with set-up and closed-down period[J];Journal of Changchun University;2009-04
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1 Zhu Lian-Zhang Liu Lu-Lu ~1The School Of Computer and Communication Engineering China University of Petroleum,Dongying Shandong 257061 ~2The School Of Computer and Communication Engineering China University of Petroleum,Dongying Shandong 257061;Modeling and Analysis of M/G/1 Multiple Vacation Queue with Exhaustive Service Based on TCPN[A];[C];2008
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