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Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\) - MaRDI portal

Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\) (Q1062360)

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scientific article; zbMATH DE number 3913415
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English
Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\)
scientific article; zbMATH DE number 3913415

    Statements

    Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\) (English)
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    1985
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    For the queue \(M^ X/M/c\) a lower bound for the delay probability and an upper bound for the mean queue length are derived. Both bounds are close to the exact results. Further, a simple closed-form approximate formula for the mean queue length of \(GI^ X/G/c\) queues is proposed which shows good accuracy.
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    lower bound for the delay probability
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    upper bound for the mean queue length
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    closed-form approximate formula for the mean queue length
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