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Complexity results for single-machine scheduling with positional learning effects

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  • B M T Lin

    (National Chiao Tung University)

Abstract

This note presents complexity results for a single-machine scheduling problem of minimizing the number of late jobs. In the studied problem, the processing times of the jobs are defined by positional learning effects. A recent paper proposed a polynomial time algorithm for the case with a common due date and conjectured the general problem to be 𝒩𝒫-hard. We confirm that the general problem is strongly 𝒩𝒫-hard and show that the studied problem remains 𝒩𝒫-hard even if there are only two different due-date values.

Suggested Citation

  • B M T Lin, 2007. "Complexity results for single-machine scheduling with positional learning effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(8), pages 1099-1102, August.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:8:d:10.1057_palgrave.jors.2602227
    DOI: 10.1057/palgrave.jors.2602227
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    References listed on IDEAS

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    1. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    2. G Mosheiov & J B Sidney, 2005. "Note on scheduling with general learning curves to minimize the number of tardy jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(1), pages 110-112, January.
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