The \(M/G/1\) retrial queue with nonpersistent customers (Q1813544)
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scientific article; zbMATH DE number 6562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(M/G/1\) retrial queue with nonpersistent customers |
scientific article; zbMATH DE number 6562 |
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The \(M/G/1\) retrial queue with nonpersistent customers (English)
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25 June 1992
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An \(M/G/1\) queue is considered where arriving customers finding the server occupied will either leave the system with probability \(1-\alpha\) or arrive again with probability \(\alpha\) after an exponentially distributed time. An integro-differential system of equations is derived for the generating functions of the steady-state probabilities. Moreover, a recursion scheme is given for the related factorial moments based on the (unavailable) steady-state probability \(\rho\) that the server is busy. For \(\rho\) again a numerical algorithm is proposed.
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generating functions
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steady-state probabilities
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numerical algorithm
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