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OPTIMAL BERNOULLI ROUTING IN AN UNRELIABLE M/G/1 RETRIAL QUEUE

Published online by Cambridge University Press:  02 November 2010

Nathan P. Sherman  and
Jeffrey P. Kharoufeh
Nathan P. Sherman
Affiliation:
Directorate of Force Management Policy, U.S. Air Force Headquarters, Manpower and Personnel, Washington, DC 20330-1040 E-mail: nathan.sherman@us.af.mil
Jeffrey P. Kharoufeh
Affiliation:
Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA 15261 E-mail: jkharouf@pitt.edu
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Abstract

Recently, Sherman et al. [14] analyzed an M/G/1 retrial queuing model in which customers are forced to retry their service if interrupted by a server failure. Using classical techniques, they provided a stability analysis, queue length distributions, key performance parameters, and stochastic decomposition results. We analyze the system under a static Bernoulli routing policy that routes a proportion of arriving customers directly to the orbit when the server is busy or failed. In addition to providing the key performance parameters, we show that this system exhibits a dual stability structure, and we characterize the optimal Bernoulli routing policy that minimizes the total expected holding costs per unit time.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 25 , Issue 1 , January 2011 , pp. 1 - 20
Copyright
Copyright © Cambridge University Press 2011

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