Performance analysis of MAP/G/1 queue with working vacations and vacation interruption |
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| Authors: | Mian Zhang Zhengting Hou |
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| Institution: | 1. Department of Mathematics, Central South University, Changsha 410075, PR China;2. Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236032, PR China |
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| Abstract: | 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. |
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| Keywords: | Markovian arrival precess Vacation interruption Working vacations Censoring technique RG-factorization |
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