Sojourn time problems in feedback queues (Q1826231)

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scientific article; zbMATH DE number 4123021
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Sojourn time problems in feedback queues
scientific article; zbMATH DE number 4123021

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    Sojourn time problems in feedback queues (English)
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    1989
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    The paper develops the theory behind the determination of the sojourn time distribution in a Markov renewal queue with state dependent feedback and applies these results to the special case of a birth-death queue. For the latter, an alternative derivation utilizing the theory of first passage time distributions in continuous-time Markov chains is also presented. Particular cases involving finite system capacities of \(N=1\) and 2 are also considered.
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    sojourn time distribution
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    Markov renewal queue
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    birth-death queue
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