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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
Yu.V. Zhernovyi,1 K.Yu. Zhernovyi2

DETERMINATION OF STEADY-STATE CHARACTERISTICS OF THREE-CHANNEL
QUEUEING SYSTEMS WITH ERLANGIAN SERVICE TIMES

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

Keywords: three-channel queueing system, Poisson input, Erlangian service times, random dropping of customers, fictitious phase method, recurrence relations.



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1 Ivan Franko National University of Lviv, Lviv, Ukraine,
e-mail: yu.zhernovyi@lnu.edu.ua.

2 Lviv Educational-Scientific Institute of the Banking University, Lviv, Ukraine,
e-mail: k.zhernovyi@yahoo.com.

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