Analysis of the queueing network with a random waiting time of negative customers at a non-stationary regime

• Autorzy: Naumenko V. , Matalytski M. , Kopats D.

Identyfikatory

DOI

10.17512/jamcm.2016.3.11

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

G-network; positive customers; negative customers; random waiting time; heavy-traffic regime; state probabilities; mean characteristics; non-stationary regime

PL

sieci kolejkowe; sieć G; pozytywny klient; negatywny klient; czas oczekiwania; równania różniczkowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 3
• Strony: 111--122
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Naumenko V.

• Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus

autor

Matalytski M.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Kopats D.

• 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.