Vacation Queueing Model for Performance Evaluation of Multiple Access Information Transmission Systems without Transmission Interruption

Autor:	Alexander Dudin, Sergei Dudin, Valentina Klimenok, Yuliya Gaidamaka
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	queueing model random multiple access time-limited service polling system stability Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 13, p 1508 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9131508
Popis:	We consider a MAP/PH/1-type queueing system with server vacations as a model that is useful for the analysis of multiple access systems with polling discipline without transmission interruption. Vacation of the server corresponds to the service providing competitive information flows to the polling system. In this paper, we consider a vacation queueing model under pretty general assumptions about the probabilistic distributions describing the behavior of the system and the realistic assumption, in many real-world systems, that ongoing service cannot be terminated ahead of schedule. We derive the criterion of the stable operation of the system and the stationary distributions of the system states and the waiting time. An illustrative numerical example is presented.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8f0f9b0d25724c05afd7b0d308d9c716 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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