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Optimal Customer Return Rate for an M/M/1 Queueing System with Retrials

Published online by Cambridge University Press:  27 July 2009

Amie Elcan
Amie Elcan
Affiliation:
Department of Mathematics, University of Colorado, Campus Box 395, Boulder, Colorado 80309-0395
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Abstract

The zero capacity M/M/1 queue with returning customers is examined. Performance measures are calculated and an imposed optimal return rate is determined for customers who return until served. The optimal rate is then calculated for an arbitrary customer as a function of the return rate of the other customers, and limiting cases are analyzed. The other customers may then adjust their return rate each time the arbitrary customer adjusts his/hers until a fixed point solution is obtained. A comparison between systems is made.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 4 , October 1994 , pp. 521 - 539
Copyright
Copyright © Cambridge University Press 1994

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