Recurrence relations for a multi-channel closed queueing system with Erlangian service times of second order

• Autorzy: Zhernovyi Y. , Kopytko B.

Identyfikatory

DOI

10.17512/jamcm.2017.3.12

• Języki publikacji: EN

Abstrakty

EN

We propose a method for determining the steady-state characteristics of a multichannel closed queueing system with exponential distribution of the time generation of service requests and the second order Erlang distributions of the service times. Recurrence relations to compute the steady-state distribution of the number of customers are obtained. The developed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.

Słowa kluczowe

EN

multi-channel closed queueing system; Erlangian service times of second order; fictitious phase method; recurrence relations

PL

system kolejkowania; zależności rekurencyjne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 3
• Strony: 123--128
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Zhernovyi Y.

• Ivan Franko National University of Lviv, Lviv, Ukraine

autor

Kopytko B.

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

Bibliografia

• [1] Nesterov Yu.G., Analysis of characteristics of a closed queuing system with relative priorities, Nauka i Obrazovanie. MGTU im. N. Baumana 2014, 3, 242-254 (in Russian).
• [2] Bocharov P.P., Pechinkin A.V., Queueing Theory, RUDN, Moskow 1995 (in Russian).
• [3] Brockmeyer E., Halstrøm H.L., Jensen A., The Life and Works of A.K. Erlang, Danish Academy of Technical Sciences, Copenhagen 1948.
• [4] Zhernovyi K.Yu., Determining stationary characteristics of two-channel queueing systems with Erlangian distribution of service time, Cybernetics and Systems Analysis 2017, 53, 1, 92-104.
• [5] Kopytko B., Zhernovyi K. Steady-state characteristics of three-channel queueing systems with Erlangian service times, Journal of Applied Mathematics and Computational Mechanics 2016, 15(3), 75-87.
• [6] Zhernovyi Yu., Creating Models of Queueing Systems Using GPSS World, LAP Lambert Academic Publishing, Saarbrücken 2015.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).