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Optimal QoS control of interacting service stations

Published online by Cambridge University Press:  15 April 2003

Abdelkrim Haqiq ,
I. Lambadaris ,
N. Mikou  and
L. Orozco–Barbosa
Abdelkrim Haqiq
Affiliation:
Faculté des Sciences et Techniques, Département de Mathématiques et Informatique, route de Casablanca, BP. 577, Settat, Maroc; haqiq@netscape.net.
I. Lambadaris
Affiliation:
Carleton University, Department of Systems and Computer Engineering, 1125 Colonel By Drive, Ottawa, Ontario, K1 S5 B6, Canada
N. Mikou
Affiliation:
Faculté des Sciences Mirande, Laboratoire Informatique de Recherche sur les Systèmes Intelligents et leurs Applications, BP. 47870, 21078 Dijon Cedex, France
L. Orozco–Barbosa
Affiliation:
University of Ottawa, School of Information, Technology and Engineering, 161 Louis Pasteur, Ottawa, Ontario, K1 N6 N5, Canada
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Abstract

We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue and a rejection cost in the first queue. Subsequently, we generalize this problem by considering a system of (m+1) queues and n types of packets. We show that an optimal policy is monotonic.

Keywords

Queuesflow controldynamic programmingPoliciesIP network.
Type
Research Article
Information
RAIRO - Operations Research , Volume 36 , Issue 3 , July 2002 , pp. 191 - 208
Copyright
© EDP Sciences, 2002

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