| Issue |
RAIRO-Oper. Res.
Volume 46, Number 4, October-December 2012
|
|
|---|---|---|
| Page(s) | 355 - 371 | |
| DOI | https://doi.org/10.1051/ro/2012022 | |
| Published online | 10 December 2012 | |
M/M/1 retrial queue with collisions and working vacation interruption under N-policy
1 School of Science, Shandong
University of Technology, Zibo
255049,
China
liltaot@126.com
2 School of Mathematics, Central South
University, Changsha
410075,
China
Received:
8
January
2012
Accepted:
26
October
2012
Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented.
Mathematics Subject Classification: 60k25 / 90B22
Key words: Retrial / collision / working vacation interruption / N-policy
© EDP Sciences, ROADEF, SMAI, 2012
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