Investigation of G-network with signals at transient behavior

• Autorzy: Matalytski M. , Naumenko V.
• Języki publikacji: EN

Abstrakty

EN

G-queueing network with positive messages and signals at transient behavior is considered. A system of difference-differential equations for the state probabilities of the network is obtained. To find them and the average characteristics of the network a technique was applied based on the use of apparatus of multivariate generating functions. An expression for the generating function was obtained. An example is calculated.

Słowa kluczowe

EN

G-queueing network; transient behavior; state probabilities; generating function

PL

stan nieustalony; funkcja generująca

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 1
• Strony: 75--86
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Matalytski M.

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

autor

Naumenko V.

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

Bibliografia

• [1] Naumenko V., Matalytski М., Network analysis with positive and negative messages at transient behavior [Analiz seti s polozhitel'nymi i otritsatel'nymi zayavkami v perekhodnom rezhime], Vestnik of Yanka Kupala State University of Grodno. Series 2. Mathematics. Physics. Informatics, Сomputer Technology and its Сontrol 2013, 3 (159), 135-142 (in Russian).
• [2] Matalytski M., Naumenko V., Nonstationary analysis of queueing network with positive and negative messages, Journal of Applied Mathematics and Computational Mechanics 2013, 2, 12, 61-71.
• [3] Gelenbe E., G-networks with triggered customer movement, Journal of Applied Probability 1993, 30, 742-748.
• [4] Gelenbe E., G-networks with signals and batch removal, Prob. Eng. Inf. Sci. 1993, 7, 335-342.
• [5] Henderson W., Northcote B.S., Taylor P.G., State-dependent signalling in queueing networks, Advanced of Applied Probability 1994, 26, 436-455.
• [6] Gelenbe Е., Pujolle G., Introduction to Queueing Networks, John Wiley, New York 1998, 244 p.
• [7] Bocharov P., Vishnevsky V., G-networks: the development of the theory of multiplicative networks [G-seti: razvitiye teorii mul'tiplikativnykh setey], Automation and Remote Control 2003, 5, 46-74 (in Russian).