Abstract. We propose a method to analyze queueing systems M / E 2 / n / m, M / E 2 / n / ∞, including the case of random dropping of customers. Recurrence relations are obtained to compute the stationary distribution of the number of customers in the system and the steady-state characteristics. The developed algorithms are tested on examples using simulation models constructed with the use of the GPSS World tools.
Keywords: multichannel queueing systems, Erlangian service times, random dropping of customers, fictitious phase method, recurrence relations, steady-state characteristics.
1 Ivan Franko National University of Lviv, Lviv, Ukraine,
e-mail: yu.zhernovyi@lnu.edu.ua.
2 Lviv Scientific and Training
Institute “Banking University,” Lviv, Ukraine,
e-mail: k.zhernovyi@yahoo.com.