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001-es BibID:BIBFORM065279
Első szerző:Melikov, Agassi (mathematician)
Cím:Hierarchical space merging algorithm for analysis of two stage queueing network with feedback / Agassi Melikov, Leonid Ponomarenko, Anar Rustamov, Janos Sztrik
Dátum:2016
ISSN:1865-0929
Megjegyzések:A Markov model of two stage queuing network with feedback is proposed. Poisson flows arriving to both stages from outside and part of already serviced calls in the first node instantaneously enter to the second node (if there is free space here) while the remaining part leaves the network. At the completion of call processing in the second node there are three possibilities: (1) it leaves the network; (2) it instantaneously feeds back to the first node (if there is free space here); (3) it feeds back to the first node after some delay in orbit. All feedbacks are determined by known probabilities. Both nodes have finite capacities. The mathematical model of the investigated network is a three dimensional Markov chain (3-D MC) and hierarchical space merging algorithm to calculate its steady-state probabilities is developed. This algorithm allows asymptotic analysis of the quality of service (QoS) metrics of the investigated network as well.
ISBN:978-3-319-44614-1 (print) 978-3-319-44615-8 (online)
Tárgyszavak:Műszaki tudományok Informatikai tudományok könyvfejezet
two stage queueing network
instantaneous and delayed feedback
three-dimensional Markov chain
space merging algorithm
Megjelenés:Information Technologies and Mathematical Modelling - Queueing Theory and Applications : 15th International Scientific Conference, ITMM 2016, named after A.F. Terpugov, Katun, Russia, September 12-16, 2016. Proceedings / Eds. Alexander Dudin, Alexander Gortsev, Anatoly Nazarov, Rafael Yakupov. - p. 238-249. -
További szerzők:Ponomarenko, Leonid Rustamov, Anar Sztrik János (1953-) (informatikus, matematikus)
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