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題名:A Geom/G/1 Gate Service System with Multiple Adaptive Vacation
書刊名:International Journal of Information and Management Sciences
作者:Ma, ZhanyouTian, NaishuoChen, LiLiu, Mingxin
出版日期:2007
卷期:18:3
頁次:頁209-221
主題關鍵詞:Multiple adaptive vacation modelGated serviceRegeneration cycle approachService cycle
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:1
  • 共同引用共同引用:0
  • 點閱點閱:22
We consider a Geom/G/1 gate service system with multiple adaptive vacation based on the classical Geom/G/1 queueing system. By using regeneration cycle approach, we obtain the PGF (Probability Generating Function) of the stationary queue length. Because of the independent property of the waiting time and the arrival process after its arrival, the PGF of the stationary waiting time is derived. Finally we obtain the average probabilities of various system state, some special cases are given to show the new model’s general properties.
期刊論文
1.Tian, N. S.(1989)。A Queueing Systom with the Adaptie Multistage Service。工程数学学报,6,25-32。  new window
2.Boxma, O. J.、Yechiali, U.(1997)。An M/ G/ 1 Queue with Multiple Types of Feedback and Gated Vacations。Journal of Applied Probability,34,773-784。  new window
3.Takagi, H.(1985)。Mean Message Waiting Times in Symmetric Multi-queue Systems with Cyclic Service。Performance Evaluation,5(4),271-277。  new window
4.Rubin, I.、De Moraes, L. F. M.(1983)。Message Delay Analysis for Polling and Token Multiple-access Schemes for Local Communication Networks。IEEE Journal on Selected Areas in Communications,1(5),935-947。  new window
5.Kunhn, P. J.(1979)。Multiqueue System with Nonexhaustive Cyclic Service。The Bell System Technical Journal,58,671-698。  new window
6.Boxma, O. J.、Groenendijk, W. P.(1988)。Waiting Times in Discrete-time Cyclic-service。IEEE Transactions on Communications,36(2),164-170。  new window
會議論文
1.Leung, K. K.、Eisenberg, M.(1989)。A Single-server Queue with Vacations and Gate Time-limited Service。0。897-906。  new window
2.Levy, H.、Hasegawa, T.、Takagi, H.、Takahashi, Y.(1989)。Analysis of Cyclic-polling Systems with Binomial-gated Service。0。127-139。  new window
圖書
1.Takagi, H.(1986)。Analysis of Polling Systems。Analysis of Polling Systems。Cambridge, MA。  new window
2.徐光煇(1988)。隨機服務系統。隨機服務系統。北京市。  延伸查詢new window
3.Takagi, H.、Takagi, Hideaki(1991)。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems。Amsterdam, Netherlands。  new window
4.Takagi, H.(1993)。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 3: Discrete-time Systems。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 3: Discrete-time Systems。Amsterdam, Netherlands。  new window
5.邓永录(1994)。随机模型及其应用。随机模型及其应用。北京市。  延伸查詢new window
6.Tian, N. S.、Zhang, G.(2001)。Vacation Queueing Models - Theory and Applications。Vacation Queueing Models - Theory and Applications。New York, NY。  new window
 
 
 
 
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