Perturbed renewal equations with applications to M/M queueing systems. II (Q2740440)
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scientific article; zbMATH DE number 1646746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbed renewal equations with applications to M/M queueing systems. II |
scientific article; zbMATH DE number 1646746 |
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16 September 2001
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perturbed renewal equation
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queueing system
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exponential asymptotical expansions
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Perturbed renewal equations with applications to M/M queueing systems. II (English)
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This paper is the second part of the author's paper [ibid. 60, 35-42 (2000); resp. ibid. 60, 31-37 (1999; Zbl 0955.60080)]. In the first part a new form of the exponential asymptotics for the solution of the renewal equation was developed for the model with perturbations combining polynomial and exponential functions. This type of perturbation takes place in the model of M/M queueing system with quick repairing which are the subject of this paper. The exponential asymptotical expansions for lifetimes of M/M queueing system with quick repairing are presented. The exponential asymptotics for the renewal equations obtained in the above-mentioned paper is used.
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