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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
K.Yu. Zhernovyi

DETERMINING THE STEADY-STATE CHARACTERISTICS OF DUAL-CHANNEL QUEUEING
SYSTEMS WITH ERLANGIAN SERVICE TIMES

Abstract. We propose a method to study M/E2/2/m and M/E2/2/∞ queueing systems: standard systems and systems with the threshold and hysteretic strategies of random dropping of customers in order to control the input flow. Recurrence relations are obtained to compute the stationary distribution of the number of customers and the steady-state stationary characteristics. The constructed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.

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



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Lviv Institute “Banking University,” Lviv, Ukraine,
e-mail: k.zhernovyi@yahoo.com.

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