V-shape property for job sequences that minimize the expected completion time variance

V-shape property for job sequences that minimize the expected completion time variance

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Article ID: iaor1999161
Country: Netherlands
Volume: 91
Issue: 1
Start Page Number: 118
End Page Number: 123
Publication Date: May 1996
Journal: European Journal of Operational Research
Authors:
Abstract:

We consider the problem of sequencing n jobs with random processing times on a single machine so as to minimize the expected variance of job completion times. Our main result is a new sufficient condition for an optimal sequence to be V-shaped in terms of the mean processing times when n⩾3. We show that this condition is satisfied by a wide variety of problem instances, including those in which the processing times follow different patterns of distributions. This result relaxes a condition proposed before.

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