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Performance analysis of MAP/G/1 queue with working vacations and vacation interruption. (English) Zbl 1217.90078
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:
90B22 Queues and service in operations research
60K25 Queueing theory (aspects of probability theory)
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