Abstract
This paper studies a queueing system with a double queue of customers and permits fed by independent Markovian input processes. Customers can only be served when a permit for service is available. Their service times are governed by a PH-distribution. This system is isomorphic to a closed two-loop queueing network. We propose a computational approach to the stationary distribution of the queue length. The model was motivated by the sliding window flow-control mechanism widely used in communcation networks.
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© 1989 Springer-Verlag Berlin Heidelberg
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Kramer, M. (1989). Assembly-Like Queues and Closed-Loop Systems with Admission Control. In: Stiege, G., Lie, J.S. (eds) Messung, Modellierung und Bewertung von Rechensystemen und Netzen. Informatik-Fachberichte, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75079-3_3
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DOI: https://doi.org/10.1007/978-3-642-75079-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51713-9
Online ISBN: 978-3-642-75079-3
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