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Zbl 1217.90078
Zhang, Mian; Hou, Zhengting
Performance analysis of MAP/G/1 queue with working vacations and vacation interruption. (English)
[J] Appl. Math. Modelling 35, No. 4, 1551-1560 (2011). ISSN 0307-904X

Summary: We consider the MAP/G/1 queue with working vacations and vacation interruption. We obtain the queue length distribution with the method of supplementary variable, combined with the matrix-analytic method and censoring technique. We also obtain the system size distribution at pre-arrival epoch and the Laplace-Stieltjes transform (LST) of waiting time.
MSC 2000:
*90B22 Queues and service
60K25 Queueing theory

Keywords: Markovian arrival precess; vacation interruption; working vacations; censoring technique; RG-factorization

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