Transient analysis of a queue where potential customers are discouraged by queue length (Q1848975)
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scientific article; zbMATH DE number 1836255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transient analysis of a queue where potential customers are discouraged by queue length |
scientific article; zbMATH DE number 1836255 |
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Transient analysis of a queue where potential customers are discouraged by queue length (English)
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28 March 2003
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The authors employ a continued-fraction approach to analyse the time-dependent behaviour of the birth-death process with rates \(\lambda_n = \lambda/(n+1)\) and \(\mu_n = \mu\), which serves as a model for a queueing system in which potential customers are discouraged by queue length. The results are compared with those of the system M/M/\(\infty\), which has the same stationary distribution.
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birth-death queue
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transient behaviour
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continued fraction
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