Variance Minimization in Single Machine Sequencing Problems

Alan G. Merten and Mervin E. Muller
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Alan G. Merten: Department of Industrial Engineering, University of Michigan
Mervin E. Muller: International Bank for Reconstruction and Development

Management Science, 1972, vol. 18, issue 9, 518-528

Abstract: The variance of flow-time and variance of waiting-time performance measures are analyzed for the single machine sequencing problem. These measures are compared and contrasted to the performance measures of mean flow-time and mean waiting-time. In particular, while the two mean performance measures attain their minimums at the same job sequence, it is shown that the sequence that minimizes the variance of flow-time is antithetical to the sequence that minimizes the variance of waiting-time. However, the minimum values of the two variance measures are equal. Relationships are also derived for the special problems where either all the job processing-times are equal or all the job weights are equal.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:18:y:1972:i:9:p:518-528

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