M/M/1 retrial queue with collisions and working vacation interruption under N-policy
RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 4, pp. 355-371.

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.

DOI : 10.1051/ro/2012022
Classification : 60k25, 90B22
Mots-clés : retrial, collision, working vacation interruption, N-policy 
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     author = {Tao, Li and Liu, Zaiming and Wang, Zhizhong},
     title = {M/M/1 retrial queue with collisions and working vacation interruption under {N-policy}},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {355--371},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {4},
     year = {2012},
     doi = {10.1051/ro/2012022},
     zbl = {1270.60107},
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     url = {http://www.numdam.org/articles/10.1051/ro/2012022/}
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Tao, Li; Liu, Zaiming; Wang, Zhizhong. M/M/1 retrial queue with collisions and working vacation interruption under N-policy. RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 4, pp. 355-371. doi : 10.1051/ro/2012022. http://www.numdam.org/articles/10.1051/ro/2012022/

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