Insights into two solution procedures for the single machine tardiness problem

J T Naidu (), J N D Gupta and B Alidaee
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J T Naidu: Philadelphia University
J N D Gupta: The University of Alabama in Huntsville
B Alidaee: University of Mississippi

Journal of the Operational Research Society, 2002, vol. 53, issue 7, 800-806

Abstract: Abstract This paper explores the well-known modified due date (MDD) rule for minimizing total tardiness on a single machine and shows that it has a decomposition structure. Based on this finding, we propose a decomposition heuristic and draw parallels to the famous optimal decomposition algorithm. We demonstrate that the MDD rule and the decomposition algorithm have striking similarities. We also discuss the key differences between these procedures. Finally, we present a sufficient condition under which the MDD rule is optimal and conclude the paper with some directions for future research.

Keywords: single machine scheduling; minimizing tardiness; optimal and heuristic decomposition; modified due date rule (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1057/palgrave.jors.2601384

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