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The slow server problem: a queue with stalling

Published online by Cambridge University Press:  14 July 2016

Michael Rubinovitch
Michael Rubinovitch*
Affiliation:
Technion — Israel Institute of Technology
*
∗ Postal address: Faculty of Industrial Engineering and Management, Technion — Israel Institute of Technology, Haifa 32000, Israel.
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Abstract

A queue with Poisson arrivals and two different exponential servers is considered. It is assumed that customers are allowed to stall, i.e., to wait for a busy fast server at times when the slow server is free. A stochastic analysis of the queue is given, steady-state probabilities are computed, and policies for overall optimization are characterized and computed. The issue of individual customer's optimization versus overall optimization is also discussed.

Keywords

MULTISERVER QUEUESHETEROGENEOUS SERVERSBUFFERED QUEUES
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 4 , December 1985 , pp. 879 - 892
Copyright
Copyright © Applied Probability Trust 1985 

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Footnotes

Research carried out while the author was on leave at Northwestern University.

References

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