On the Mx/G/1 queue with vacation time |
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| Affiliation: | 1. Università degli Studi di Torino, Turin, Italy;2. Politecnico di Torino, Turin, Italy;3. IMDEA Networks Institute, Madrid, Spain |
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| Abstract: | We consider an Mx/G/1 queueing system in which the server takes a vacation each time that the system, becomes empty. Using supplementary variables, we derive the general queue length distribution at an arbitrary time. We also obtain the waiting time and busy period distributions. |
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