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Principle Seminar of the Department of Probability Theory, Moscow State University
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Queueing systems with service interruptions S. Zh. Aibatov Lomonosov Moscow State University |
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Abstract: We consider queueing systems with regenerative input flow and service interruptions. An interruption could appear for some different reasons for instance server breakdown or arrival of priority customer. We assume that the server behavior is defined by some regenerative process that does not depend on input flow. The main goals of the dissertation are to find stability conditions and to obtain the asymptotics of big deviations for waiting time process. Since regenerative flow include the big part of input flows that used in queueing theory, then dissertation's results could be applied to wide class of systems. |