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A Note on Stochastic Scheduling on a Single Machine Subject to Breakdown and Repair

Published online by Cambridge University Press:  27 July 2009

Michael Pinedo  and
Elias Rammouz
Michael Pinedo
Affiliation:
Department ofIndustrial Engineering and Operations Research Columbia University New York, New York 10027
Elias Rammouz
Affiliation:
Department ofIndustrial Engineering and Operations Research Columbia University New York, New York 10027
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Abstract

This paper considers a single machine and n jobs. The machine is subject to breakdown and repair. Job j has a weight wj, a random processing time Xj, and is available for processing from a random time Rj on. The jobs may be subject to precedence constraints. We are interested in optimal policies that minimize the following objective functions: (i) the weighted sum of the completion times; (ii) the weighted sum of an exponential function of the completion times; and (iii) the weighted number of late jobs having due dates.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 1 , January 1988 , pp. 41 - 49
Copyright
Copyright © Cambridge University Press 1988

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