A hysteretic queueing system with random server capacity (Q1963070)
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scientific article; zbMATH DE number 1391599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hysteretic queueing system with random server capacity |
scientific article; zbMATH DE number 1391599 |
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A hysteretic queueing system with random server capacity (English)
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20 January 2000
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An \(r\)-quorum queueing system with random server capacity under \(N\)-policy discipline is considered and an extended Muh's model is presented. The authors derive steady state probabilities of the discrete and continuous time parameter process. The cases of discrete and continuous parameter processes are considered and the decomposition properties are checked, and a necessary and sufficient condition for ergodicity is given. The theory is provided by examples.
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hysteresis
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\(r\)-quorum models
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Markov chain
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semiregenerative process
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\(\text{M/G}/1/\infty\) queueing system
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