Two coupled queues with vastly different arrival rates: critical loading case.
Knessl, Charles, Morrison, John A. (2011)
Advances in Operations Research
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Knessl, Charles, Morrison, John A. (2011)
Advances in Operations Research
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Journal of Applied Mathematics and Stochastic Analysis
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Electronic Journal of Probability [electronic only]
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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International Journal of Mathematics and Mathematical Sciences
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Aplikace matematiky
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A non-Markovian queueing system with Poisson input is studied under a modified operating rule called “control operating policy” in which the server begins “start-up” only when the queue length reaches a fixed number . By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse...