Analysis of transient behaviour of M/G/1 queue with single vacation (Q2912222)

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scientific article; zbMATH DE number 6082508
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Analysis of transient behaviour of M/G/1 queue with single vacation
scientific article; zbMATH DE number 6082508

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    14 September 2012
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    Poisson arrivals
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    Bernoulli schedule general service times
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    server vacation
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    probability generating functions
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    Laplace transforms
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    Analysis of transient behaviour of M/G/1 queue with single vacation (English)
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    The paper under review studies an M/G/1 queueing system with server vacation, i.e., upon a service completion, the server takes a vacation with probability \(p\) or continues to serve customers (if any) with complementary probability \(1-p\). The vacation time is assumed to be exponentially distributed. The paper derives transform for transient (time-dependent) state probabilities.
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