Patterns of buffer overflow in a class of queues with long memory in the input stream (Q1379720)
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scientific article; zbMATH DE number 1121391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Patterns of buffer overflow in a class of queues with long memory in the input stream |
scientific article; zbMATH DE number 1121391 |
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Patterns of buffer overflow in a class of queues with long memory in the input stream (English)
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19 January 1999
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The authors consider a G/G/1/\(L\) queue with finite buffer capacity \(L\) and determine time to buffer overflow. The arrival process is produced by an on/off source with heavy tailed on-distribution. The mean time to overflow increases polynomially fast with increasing capacity \(L\), contrary to the classical case with light tales for the on-distribution. Pooling of resources in case of superposition of several such arrival processes is investigated.
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long range dependence
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heavy tails
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G/G/1
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level crossing
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