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001-es BibID:	BIBFORM082164
035-os BibID:	(WoS)000526461700016 (Scopus)85075360737
Első szerző:	Nazarov, Anatoly
Cím:	Asymptotic sojourn time analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs / Anatoly Nazarov, János Sztrik, Anna Kvach, Ádám Tóth
Dátum:	2020
ISSN:	0254-5330 1572-9338
Megjegyzések:	The aim of the present paper is to investigate the steady-state distribution of response and waiting time in a finite-source M/M/1 retrial queuing system with collision of customers where the server is subjects to random breakdowns and repairs depending on whether it is idle or busy. An asymptotic method is applied under the condition that the number of sources tends to infinity, the primary request generation rate, retrial rate tend to zero while service rate, failure rates, repair rate are fixed. As the result of the analysis it is shown that the steady-state probability distribution of the number of transitions/retrials of the customer into the orbit is geometric with a given parameter, and the normalized sojourn time of the customer in the system follows a generalized exponential distribution. It is also proved that the limiting distributions of the normalized sojourn time of the customer in the system and the normalized sojourn/waiting time of the customer in the orbit coincide. The novelty of this investigation is the introduction of failure and repair of the server. Approximations of prelimit distributions obtained with the help of stochastic simulation by asymptotic one are considered and several illustrative examples show the accuracy and range of applicability of the proposed asymptotic method.
Tárgyszavak:	Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Finite-source queueing system Retrial queue Server breakdownsand repairs
Megjelenés:	Annals Of Operations Research. - 288 (2020), p. 417-434. -
További szerzők:	Sztrik János (1953-) (informatikus, matematikus) Kvach, Anna Tóth Ádám (1990-) (mérnökinformatikus)
Pályázati támogatás:	EFOP-3.6.1-16-2016-00022 EFOP
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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