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On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flowDOI: 10.1155/s0161171292000759 Keywords: queueing process , semi-Markov process , semi-regenerative process , embedded Markov chain , semi-Markov modulated Poisson process , equilibrium , continuous time parameter process , service cycle , idle period , busy period , intensity of the process. Abstract: The authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r ￠ ‰ ￥1 and that any service act will not begin until the queue accumulates at least r units. In this model, therefore, idle periods also depend upon the queue length.
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