Morozov, Evsey and Rogozin, Stepan (2022) Stability condition of multiclass classical retrials: a revised regenerative proof. Annales Mathematicae et Informaticae, 56. pp. 71-83. ISSN 17876117
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Abstract
We consider a multiclass retrial system with classical retrials, and present a new short proof of the sufficient stability (positive recurrence) condition of the system. The proof is based on the analysis of the departures from the system and a balance equation between the arrived and departed work. Moreover, we apply the asymptotic results from the theory of renewal and regenerative processes. This analysis is then extended to the system with the outgoing calls. A few numerical examples illustrate theoretical analysis.
| Item Type: | Article |
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| Uncontrolled Keywords: | multiclass system, classical retrials, outgoing calls, stability analysis, regeneration, simulation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 09 Jan 2023 09:38 |
| Last Modified: | 09 Jan 2023 09:38 |
| URI: | http://real.mtak.hu/id/eprint/156202 |
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