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Determining Stationary Characteristics of Two-Channel Queueing Systems with Erlangian Distribution of Service Time

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Cybernetics and Systems Analysis Aims and scope

Abstract

The author proposes 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 in the system and stationary characteristics. The constructed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.

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Authors and Affiliations

  1. Lviv Institute “Banking University”, Lviv, Ukraine

    K. Yu. Zhernovyi

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  1. K. Yu. Zhernovyi
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Correspondence to K. Yu. Zhernovyi.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2017, pp. 108–121.

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Zhernovyi, K.Y. Determining Stationary Characteristics of Two-Channel Queueing Systems with Erlangian Distribution of Service Time. Cybern Syst Anal 53, 92–104 (2017). https://doi.org/10.1007/s10559-017-9910-1

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  • DOI: https://doi.org/10.1007/s10559-017-9910-1

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