Queueing system \(\text{G}^{\kappa}|\text{G}|1\) with customers arriving in batches (Q2771519)
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scientific article; zbMATH DE number 1705765
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Queueing system \(\text{G}^{\kappa}|\text{G}|1\) with customers arriving in batches |
scientific article; zbMATH DE number 1705765 |
Statements
17 February 2002
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queueing system
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renewal process
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distributions of functionals
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generating function
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factorization
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Queueing system \(\text{G}^{\kappa}|\text{G}|1\) with customers arriving in batches (English)
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The authors find distributions of the following characteristics of \(\text{G}^{\kappa}|\text{G}|1\) queueing system (index \(\kappa\) shows that customers arrive as groups of random size \(\kappa\)): the length of the queue under transition and stationary regime, service time, virtual waiting time, etc. The proposed method of investigation is based on the analysis of the difference between two renewal processes and useful factorization expansions of the corresponding generating functions.
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