Steady-state characteristics of three-channel queueing systems with Erlangian service times

• Autorzy: Kopytko B. , Zhernovyi K.

Identyfikatory

DOI

10.17512/jamcm.2016.3.08

• Języki publikacji: EN

Abstrakty

EN

We propose a method of study the M/E₂/3/∞ queueing systems: standard system and systems with the threshold and hysteretic strategies of the random dropping of customers in order to control the input flow. Recurrence relations to compute the stationary distribution of the number of customers and the steady-state characteristics are obtained. The developed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.

Słowa kluczowe

EN

three-channel queueing system; Poisson input; Erlangian service times; random dropping of customers; fictitious phase method; recurrence relations

PL

trójkanałowy system kolejkowania; metoda fazy fikcyjnej; równanie rekurencyjne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 3
• Strony: 75--87
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Kopytko B.

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

autor

Zhernovyi K.

• Educational and Scientific Institute, Banking University Lviv, Ukraine

Bibliografia

• [1] Bocharov P.P., Pechinkin A.V., Queueing Theory, RUDN, Moskow 1995 (in Russian).
• [2] Brockmeyer E., Halstrom H.L., Jensen A., The Life and Works of A.K. Erlang, Danish Academy of Technical Sciences, Copenhagen 1948.
• [3] Chydziński A., Nowe modele kolejkowe dla węzłow sieci pakietowych, Pracownia Komputerowa Jacka Skalmierskiego, Gliwice 2013 (in Polish).
• [4] Tikhonenko O., Kempa W.M., Queue-size distribution in M/G/1-type system with bounded capacity and packet dropping, Communications in Computer and Information Science 2013, 356, 177-186.
• [5] Zhernovyi Yu., Kopytko B., Zhernovyi K. On characteristics of the Mθ/G/1/m and Mθ/G/1 queues with queue-size based packet dropping, Journal of Applied Mathematics and Computational Mechanics 2014, 13(4), 163-175.
• [6] Zhernovyi Yu.V., Zhernovyi K.Yu., Potentials method for M/G/1/m systems with threshold operating strategies, Cybernetics and Systems Analysis 2016, 52, 3, 481-491.
• [7] Zhernovyi Yu., Creating Models of Queueing Systems Using GPSS World, LAP Lambert Academic Publishing, Saarbrucken 2015.

Uwagi

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