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THE MX/D/c BATCH ARRIVAL QUEUE

Published online by Cambridge University Press:  22 June 2005

Geert Jan Franx
Geert Jan Franx
Affiliation:
Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081, 1081HV Amsterdam, The Netherlands, E-mail: franx@few.vu.nl
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Abstract

A surprisingly simple and explicit expression for the waiting time distribution of the MX/D/c batch arrival queue is derived by a full probabilistic analysis, requiring neither generating functions nor Laplace transforms. Unlike the solutions known so far, this expression presents no numerical complications, not even for high traffic intensities.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 3 , July 2005 , pp. 345 - 349
Copyright
© 2005 Cambridge University Press

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References

REFERENCES

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Wolff, R.W. (1989). Stochastic modelling and the theory of queues. Englewood Cliffs, NJ: Prentice-Hall.