Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In the article a queueing network (QN) with positive customers and a random waiting time of negative customers has been investigated. Negative customers destroy positive customers on the expiration of a random time. Queueing systems (QS) operate under a heavy-traffic regime. The system of difference-differential equations (DDE) for state probabilities of such a network was obtained. The technique of solving this system and finding mean characteristics of the network, which is based on the use of multivariate generating functions was proposed.
Rocznik
Tom
Strony
111--122
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus
Bibliografia
- [1] Gelenbe E., Product form queueing networks with negative and positive customers, Journal of Applied Probability 1991, 28, 656-663.
- [2] Gelenbe E., G-networks with triggered customer movement, Journal of Applied Probability 1993, 30, 742-748.
- [3] Gelenbe Е., Pujolle G., Introduction to Queueing Networks, John Wiley, N.Y. 1998, 244.
- [4] Matalytski M., Naumenko V., Non-stationary analysis of queueing network with positive and negative messages, Journal of Applied Mathematics and Computational Mechanics 2013, 12(2), 61-71.
- [5] Matalytski M., Naumenko V., Investigation of G-network with random delay of signals at non-stationary behavior, Journal of Applied Mathematics and Computational Mechanics 2014, 13(3), 155-166.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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