Recurrence relations for two-channel closed queueing systems with Erlangian service times

• Autorzy: Kopytko B. , Zhernovyi K.

Identyfikatory

DOI

10.17512/jamcm.2018.1.04

• Języki publikacji: EN

Abstrakty

EN

This paper proposes a method for determining the steady-state characteristics of two-channel closed queueing systems with an exponential distribution of the time generation of service requests and the Erlang distributions of the service times. Recurrence relations for computing the steady-state distribution of the number of customers in the system are deduced. The obtained algorithms are tested on examples using simulation models in the GPSS World environment.

Słowa kluczowe

EN

two-channel closed queueing system; Erlangian service times; fictitious phase method; recurrence relations

PL

system kolejkowania dwukanałowy; czas obsługi Erlanga; rozkład Erlanga

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2018
• Tom: Vol. 17, nr 1
• Strony: 37--48
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Kopytko B.

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

autor

Zhernovyi K.

• Educational and Scientific Institute, Banking University, Lviv, Ukraine

Bibliografia

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

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).