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A note on sojourn times in queuing networks with multiserver nodes

Published online by Cambridge University Press:  14 July 2016

Josef Hemker
Josef Hemker*
Affiliation:
Nixdorf Computer AG
*
∗Postal address: Nixdorf Computer AG, Pontanusstrasse 55, D-4790 Paderborn, West Germany.
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Abstract

Time-reversal arguments can be used to re-derive (and slightly generalize) previous results for sojourn-time distributions in product-form queuing networks.

Keywords

TIME-REVERSALPRODUCT-FORM NETWORKS
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 469 - 474
Copyright
Copyright © Applied Probability Trust 1990 

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References

[1] Baskett, F., Chandy, K. M., Muntz, R. R., Palacios, F. G. (1975) Open, closed, and mixed networks of queues with different classes of customers. J. Assoc. Comput. Mach. 22, 248–260.CrossRefGoogle Scholar
[2] Kelly, F. P. (1976) Networks of queues. Adv. Appl. Prob. 8, 416–432.CrossRefGoogle Scholar
[3] Kelly, F. P. (1979) Reversibility and Stochastic Networks. Wiley, New York.Google Scholar
[4] Kelly, F. P. and Pollett, P. K. (1983) Sojourn times in closed queuing networks. Adv. Appl. Prob. 15, 638–656.CrossRefGoogle Scholar
[5] Schassberger, R. and Daduna, H. (1987) Sojourn times in queuing networks with multiserver nodes. J. Appl. Prob. 24, 511–521.CrossRefGoogle Scholar
[6] Walrand, J. and Varaiya, P. (1980) Sojourn times and the overtaking condition in Jacksonian networks. Adv. Appl. Prob. 12, 1000–1018.CrossRefGoogle Scholar