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Stochastic Sequencing on One Machine with Earliness and Tardiness Penalties

Published online by Cambridge University Press:  27 July 2009

Frank G. Forst
Frank G. Forst
Affiliation:
School of Business AdministrationLoyola University of Chicago820 N. Michigan Avenue, Chicago, Illinois 60611
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Abstract

In this paper the objective is to find a job sequence that minimizes, stochastically or in expectation, the sum of the total weighted job earliness and the total weighted job tardiness on one machine, when the job processing times are independent and identically distributed random variables. We first derive results for the case in which the jobs share a common, random due date. We then obtain results when the job due dates are distinct, independent random variables.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 7 , Issue 2 , April 1993 , pp. 291 - 300
Copyright
Copyright © Cambridge University Press 1993

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