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On the finite-source \(\vec G/M/r\) queue - MaRDI portal

On the finite-source \(\vec G/M/r\) queue (Q760715)

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scientific article; zbMATH DE number 3885081
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On the finite-source \(\vec G/M/r\) queue
scientific article; zbMATH DE number 3885081

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    On the finite-source \(\vec G/M/r\) queue (English)
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    1985
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    The aim of the present paper is to give the main characteristics of the finite-source \(\vec G/M/r\) queue in equilibrium. Here unit i stays in the source for a random time having general distribution function \(F_ i(x)\) with density \(f_ i(x)\). The service times of all units are assumed to be identically and exponentially distributed random variables with means 1/\(\mu\). It is shown that the solution to this \(\vec G/M/r\) model is similar in most important respects to that for the M/M/r model.
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    utilization
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    Little's formula
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    queue in equilibrium
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    service times
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    exponentially distributed
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