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WAITING TIME CHARACTERISTICS IN CYCLIC QUEUES

Published online by Cambridge University Press:  01 July 2004

Sanne R. Smits ,
Ivo Adan  and
Ton G. de Kok
Sanne R. Smits
Affiliation:
Department of Technology Management, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands
Ivo Adan
Affiliation:
Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands, E-mail: [email protected]
Ton G. de Kok
Affiliation:
Department of Technology Management, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands
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Abstract

In this article, we study a single-server queue with FIFO service and cyclic interarrival and service times. An efficient approximative algorithm is developed for the first two moments of the waiting time. Numerical results are included to demonstrate that the algorithm yields accurate results. For the special case of exponential interarrival times, we present a simple exact analysis.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 3 , July 2004 , pp. 299 - 313
Copyright
© 2004 Cambridge University Press

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References

REFERENCES

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