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001-es BibID:BIBFORM075187
035-os BibID:(WoS)000466317800004 (Scopus)85049958289
Első szerző:Sudyko, E. A.
Cím:Asymptotic waiting time analysis of a finite-source M/M/1 retrial queueing system / E. Sudyko, A. A. Nazarov, J. Sztrik
Dátum:2019
ISSN:0269-9648
Megjegyzések:The aim of the paper is to derive the distribution of the number of retrial of the tagged request and as a consequence to present the waiting time analysis of a finite-source M/M/1 retrial queueing system by using the method of asymptotic analysis under the condition of the unlimited growing number of sources. As a result of the investigation, it is shown that the asymptotic distribution of the number of retrials of the tagged customer in the orbit is geometric with given parameter, and the waiting time of the tagged customer has a generalized exponential distribution. For the considered retrial queuing system numerical and simulation software packages are also developed. With the help of several sample examples the accuracy and range of applicability of the asymptotic results in prelimit situation are illustrated showing the effectiveness of the proposed approximation.
Tárgyszavak:Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
accuracy and area of applicability of approximations
asymptotic analysis
closed queueing system
finite-source queueing system
limiting distribution
number of retrials
retrial queue
waiting time
Megjelenés:Probability In The Engineering And Informational Sciences. - 33 : 3 (2019), p. 387-403. -
További szerzők:Nazarov, Anatoly Sztrik János (1953-) (informatikus, matematikus)
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