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On the Robust Single Machine Scheduling Problem

Jian Yang (yang@adm.njit.edu) and Gang Yu
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Jian Yang: New Jersey Institute of Technology
Gang Yu: The University of Texas at Austin

Journal of Combinatorial Optimization, 2002, vol. 6, issue 1, No 2, 17-33

Abstract: Abstract The single machine scheduling problem with sum of completion times criterion (SS) can be solved easily by the Shortest Processing Time (SPT) rule. In the case of significant uncertainty of the processing times, a robustness approach is appropriate. In this paper, we show that the robust version of the (SS) problem is NP-complete even for very restricted cases. We present an algorithm for finding optimal solutions for the robust (SS) problem using dynamic programming. We also provide two polynomial time heuristics and demonstrate their effectiveness.

Keywords: robust optimization; machine scheduling; NP-completeness; heuristic (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (19)

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DOI: 10.1023/A:1013333232691

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