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Multiserver scheduling of jobs with increasing completion rates

Published online by Cambridge University Press:  14 July 2016

J. C. Gittins*
Affiliation:
Keble College, Oxford
*
Postal address: Mathematical Institute, University of Oxford, 24–29 St Giles, Oxford OX1 3LB, U.K.

Abstract

Under certain conditions it is shown that for jobs with increasing completion rates the expected flow time is minimised by a non-pre-emptive service discipline.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 

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References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston.Google Scholar
Gittins, J. C. (1972) Some problems of stochastic resource allocation. J. Appl. Prob. 9, 360369.CrossRefGoogle Scholar
Glazebrook, K. D. (1979) Scheduling tasks with exponential service times on many parallel processors. J. Appl. Prob. 16, 685689.CrossRefGoogle Scholar
Kiefer, J. and Wolwowitz, J. (1955) On the theory of queues with many servers. Trans. Amer. Math. Soc. 78, 118.Google Scholar
Weber, R. R. (1979) Optimal Organisation of Multi-Server Systems. Ph.D. Dissertation, Cambridge University.Google Scholar