| Article ID: | iaor201380 |
| Volume: | 46 |
| Issue: | 4 |
| Start Page Number: | 355 |
| End Page Number: | 371 |
| Publication Date: | Oct 2012 |
| Journal: | RAIRO - Operations Research |
| Authors: | Liu Zaiming, Tao Li, Wang Zhizhong |
| Keywords: | matrices |
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.