Title | ||
---|---|---|
Recursive solution of queue length distribution for GeoG1 queue with single server vacation and variable input rate |
Abstract | ||
---|---|---|
In this paper we consider discrete time GeoG1 queue with single server vacation and variable input rate. Using renewal process, probability decomposition technique and u-transform, we derive the recursive expressions of the queue length distributions at epochs n-, n+, and n. The results obtained in this paper indicate that the equilibrium queue length distribution no longer follows the stochastic decomposition discipline. Furthermore we derive the important relations between equilibrium queue length distributions at different epochs ( n-, n+,n). © 2011 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1016/j.camwa.2011.02.018 | Computers and Mathematics with Applications |
Keywords | Field | DocType |
Discrete time queue,Recursive expression,Single server vacation,Variable input rate | M/M/1 queue,Discrete mathematics,M/D/1 queue,Bulk queue,G/G/1 queue,M/M/c queue,Mathematical analysis,M/G/1 queue,M/G/k queue,M/D/c queue,Real-time computing,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 9 | null |
Citations | PageRank | References |
1 | 0.37 | 6 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chuanyi Luo | 1 | 7 | 1.82 |
tang | 2 | 6 | 1.43 |
Miaomiao Yu | 3 | 55 | 6.13 |
Yinghui Tang | 4 | 42 | 5.95 |