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NOTE ON THE CONVEXITY OF THE STATIONARY WAITING TIME AS A FUNCTION OF THE DENSITY

Published online by Cambridge University Press:  24 September 2003

Arie Hordijk  and
Dinard van der Laan
Arie Hordijk
Affiliation:
Department of Mathematics, Leiden University, 2300RA Leiden, The Netherlands, E-mail: [email protected]
Dinard van der Laan
Affiliation:
Department of Mathematics, Leiden University, 2300RA Leiden, The Netherlands, E-mail: [email protected]
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Abstract

It is proved that the total average waiting time is a convex function of the routing densities for regular routing to parallel queues.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 4 , October 2003 , pp. 503 - 508
Copyright
© 2003 Cambridge University Press

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