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The slow server problem: a queue with stalling

Published online by Cambridge University Press:  14 July 2016

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

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.

Type
Research Papers
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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