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AN M/G/1 RETRIAL QUEUE WITH UNRELIABLE SERVER FOR STREAMING MULTIMEDIA APPLICATIONS

Published online by Cambridge University Press:  16 February 2009

Nathan P. Sherman ,
Jeffrey P. Kharoufeh  and
Mark A. Abramson
Nathan P. Sherman
Affiliation:
Department of Operational Sciences, Air Force Institute of Technology, Wright Patterson AFB, OH 45433-7765 E-mail: Nathan.Sherman@pentagon.af.mil
Jeffrey P. Kharoufeh
Affiliation:
Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, Pittsburgh, PA 15261 E-mail: jkharouf@pitt.edu
Mark A. Abramson
Affiliation:
Department of Mathematics and Statistics, Air Force Institute of Technology, Wright Patterson AFB, OH 45433-7765 E-mail: Mark.Abramson@afit.edu
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Abstract

As a model for streaming multimedia applications, we study an unreliable retrial queue with infinite-capacity orbit and normal queue for which the retrial rate and the server repair rate are controllable. Customers join the retrial orbit if and only if their service is interrupted by a server failure. Interrupted customers do not rejoin the normal queue but repeatedly attempt to access the server at independent and identically distributed intervals until it is found functioning and idle. We provide stability conditions, queue length distributions, stochastic decomposition results, and performance measures. The joint optimization of the retrial and server repair rates is also studied.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 23 , Issue 2 , April 2009 , pp. 281 - 304
Copyright
Copyright © Cambridge University Press 2009

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