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4 Journal of Applied Mathematics and Computational Mechanics

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Recurrence relations for two-channel queueing systems with Erlangian service times and hysteretic strategy of random dropping of customers

Zhernovyi Y., Kopytko B.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 2

93--103

This article proposes a method of study the M/Es/2/m and M/Es/2/∞ queueing systems with a hysteretic strategy of random dropping of customers. Recurrence relations are obtained to compute the stationary distribution of the number of customers and steadystate characteristics. The constructed algorithms were tested on examples with the use of simulation models constructed with the help of GPSS World.

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

Kopytko B., Zhernovyi K.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 1

37--48

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.

Recurrence relations for a multi-channel closed queueing system with Erlangian service times of second order

Zhernovyi Y., Kopytko B.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 3

123--128

We propose a method for determining the steady-state characteristics of a multichannel closed queueing system with exponential distribution of the time generation of service requests and the second order Erlang distributions of the service times. Recurrence relations to compute the steady-state distribution of the number of customers are obtained. The developed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.

Steady-state characteristics of three-channel queueing systems with Erlangian service times

Kopytko B., Zhernovyi K.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 3

75--87

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