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ON A ROUTING PROBLEM

Published online by Cambridge University Press:  01 July 2004

Torgny Lindvall
Torgny Lindvall
Affiliation:
School of Mathematical Sciences, University of Göteborg, 412 96 Göteborg, Sweden, E-mail: [email protected]
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Abstract

In a system with one queue and several service stations, it is a natural principle to route a customer to the idle station with the distributionwise shortest service time. For the case with exponentially distributed service times, we use a coupling to give strong support to that principle. We also treat another topic. A modified version of our methods brings support to the design principle: It is better with few but quick servers.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 3 , July 2004 , pp. 329 - 337
Copyright
© 2004 Cambridge University Press

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References

REFERENCES

Asmussen, S. (1987). Applied probability and queues. Chichester: Wiley.
Lindvall, T. (2002). Lectures on the coupling method. Mineola, NY: Dover.
Lindvall, T. (2002). Comparisons between certain queuing systems. Probability in the Engineering and Informational Sciences 16: 1–17.Google Scholar
Sparaggis, P.D., Towsley, D., & Cassandras, C.G. (1993). Extremal properties of the shortest/longest non-full queue policies in finite-capacity systems with state-dependent service rates. Journal of Applied Probability 30: 223–236.Google Scholar
Stoyan, D. (1983). Comparison methods for queues and other stochastic models. Chichester: Wiley.
Winkler, P. (2001). Optimality and greed in dynamic allocation. Journal of Algorithms 41(2): 244–261.Google Scholar
Wolff, R.W. (1989). Stochastic modeling and the theory of queues. Englewood Cliffs, NJ: Prentice- Hall.