Inequalities for Charlier polynomials with application to teletraffic theory (Q1105292)
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scientific article; zbMATH DE number 4058591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for Charlier polynomials with application to teletraffic theory |
scientific article; zbMATH DE number 4058591 |
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Inequalities for Charlier polynomials with application to teletraffic theory (English)
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1988
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The service system studied is a Brockmeyer system, which consists of two finite groups of servers without waiting positions. Customers arrive at the first group according to a Poisson process and customers overflowing the first group are routed to the second group; customers overflowing the second group are lost. Service times are mutually independent and exponentially distributed. Based on a number of inequalities for ratios of Charlier polynomials, simple and accurate bounds are obtained for the equilibrium time congestion of the second group.
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overflow model
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teletraffic theory
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groups of servers without waiting positions
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Charlier polynomials
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