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題名:A Single Server Queue with Two Phases of Heterogeneous Service under Bernoulli Schedule and a General Vacation Time
書刊名:International Journal of Information and Management Sciences
作者:Modan,Kailash C.Choudhury,Gautam
出版日期:2005
卷期:16:2
頁次:頁1-16
主題關鍵詞:M/G/1 queueTwo phases of heterogeneous serviceBernoulli scheduleGeneralized vaction timeQueue sizeWaiting time and busy period
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 single server queue with Passion input, two phases of heterogeneous service with Bernoulli schedule and a general vacation time, where the server provides two phases of heterogeneous service one after the other to the arriving customers. After completion of both phases of service the server either goes for a vacation with probability θ(0≦θ≦1) or many continue to serve the next unit, if any, with probability (1-θ). Otherwise, it remains in the system until a customer arrives. For this model, we first obtain the steady state probability generating functions for the queue size distributions at a random epoch as well as at a departure epoch. Next, we derive the Laplace Stieltjes transform of the waiting time distribution. Finally, we obtain some system performance measures and discuss some important particular cases of this model.
期刊論文
1.Choudhury, Gautam(2002)。A Batch Arrival Queue with a Vacation Time under Single Vacation Policy。Computers and Operations Research,29(14),1941-1955。  new window
2.Keilson, J.、Servi, L. D.(1987)。Dynamics of the M/ G/ 1 Vacation Model。Operations Research,35(4),575-582。  new window
3.Madan, K. C.(1999)。An M/ G/ I Queue with Optional Deterministic Server Vacations。Meton,57(3/4),83-95。  new window
4.Doshi, Bharat T.(1986)。Queueing systems with vacations: A survey。Queueing Systems,1(1),29-66。  new window
5.Doshi, Bharat(1991)。Analysis of a Two Phase Queueing System with General Service Times。Operations Research Letters,10(5),265-272。  new window
6.Choudhury, G.(2002)。Some Aspects of M/G/1 Queue with Two Different Vacation Times Under Multiple Vacation Policy。Stochastic Analysis and Applications,20(5),901-910。  new window
7.Madan, Kailash C.(2001)。On a Single Server Queue with Two-stage Heterogeneous Service and Deterministic Server Vacations。International Journal of Systems Sciences,32(7),837-844。  new window
8.Cox, D. R.(1955)。The Analysis of Non-markovian Stochastic Processes by the Inclusion of Supplementary Variables。Mathematical Proceedings of the Cambridge Philosophical Society,433-441。  new window
9.Keilson, J.、Servi, L. D.(1986)。Oscillating Random Walk Models for GI/ G/ 1 Vacation Systems with Bernoulli Schedules。Journal of Applied Probability,23(3),790-802。  new window
10.Ramaswamy, Ravi、Semi, L. D.(1988)。The Busy Period of the Migi1 Vacation Model with a Bernoulli Schedule。Stochastic Models,4(3),507-521。  new window
11.Madan, K. C.(2000)。On a Single Server Queue with Two-Stage Heterogeneous Service and Bernoulli Schedule Server Vacations。Egyptian Statistical Journal,40(1),39-55。  new window
圖書
1.Hideaki, Takagi(1991)。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems, Part 1。Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems, Part 1。Amsterdam, Netherlands/ New York, NY。  new window
2.Kleinrock, Leonard(1975)。Queueing Systems, Volume 1: Theory。Queueing Systems, Volume 1: Theory。New York, NY。  new window
3.Doshi, B. T.(1990)。Single Server Queues with Vvacations。Stochastic Analysis of Computer and Communication Systems。North-Holland。  new window
4.Kashyap, B. R. K.、Choudhry, M. L.(1988)。An Introduction to Queueing Theory。An Introduction to Queueing Theory。India。  new window
 
 
 
 
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