Determination of Steady-State Characteristics of Three-Channel Queuing Systems with Erlangian Service Times

This article proposes a method for analyzing the following M/E 2 /3/m queuing systems: the standard system and also systems with threshold and hysteresis strategies of random dropping of customers in order to control the input flow. Recurrence relations are obtained to compute the stationary distrib...

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Veröffentlicht in:	Cybernetics and systems analysis 2017-03, Vol.53 (2), p.280-292
Hauptverfasser:	Zhernovyi, Yu. V., Zhernovyi, K. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Artificial Intelligence Control Control systems Customers Cybernetics Hysteresis Mathematics Mathematics and Statistics Processor Architectures Queueing theory Software Engineering/Programming and Operating Systems Strategy Systems analysis Systems Theory
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Beschreibung
Zusammenfassung:	This article proposes a method for analyzing the following M/E 2 /3/m queuing systems: the standard system and also systems with threshold and hysteresis 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 steady-state characteristics. The constructed algorithms were tested on examples with the use of simulation models constructed with the help of GPSS World.
ISSN:	1060-0396 1573-8337
DOI:	10.1007/s10559-017-9928-4