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A General Model for the Scheduling of Alternative Stochastic Jobs that may Fail

Published online by Cambridge University Press:  27 July 2009

N. A. Fay  and
K. D. Glazebrook
N. A. Fay
Affiliation:
Department of Statistics University of Newcastle upon Tyne United Kingdom
K. D. Glazebrook
Affiliation:
Department of Statistics University of Newcastle upon Tyne United Kingdom
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Extract

The standard single-machine scheduling problem is modified to take into account unsuccessful job completions. We use a result due to Nash to analyze problems in which some jobs are alternative to one another in the sense that only one of a set of alternative jobs need be completed successfully. Conditions are proposed under which a nonpreemptive strategy is optimal for processing such a system.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 2 , April 1989 , pp. 199 - 221
Copyright
Copyright © Cambridge University Press 1989

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References

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