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On a Conjecture of Koole

Published online by Cambridge University Press:  27 July 2009

Alfred Müller
Alfred Müller
Affiliation:
Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe, Kaiserstr, 12, D-76128 Karlsruhe, Germany
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Abstract

In this short note, we give a counterexample to a conjecture of Koole (1995, Stochastic scheduling and dynamic programming) concerning the equivalence of two orderings arising in the context of a customer assignment model with asymmetric service times.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 1 , January 1998 , pp. 141 - 142
Copyright
Copyright © Cambridge University Press 1998

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References

1.Hordijk, A. & Koole, G.M. (1992). On the assignment of customers to parallel queues. Probability in the Engineering and Informational Sciences 6: 495–511.CrossRefGoogle Scholar
2.Koole, G.M. (1995). Stochastic scheduling and dynamic programming. CWI Tracts 113, Centrum voor Wiskunde en Informatica, Amsterdam.Google Scholar