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A note on single-machine scheduling with job-dependent learning effects

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  • Koulamas, Christos

Abstract

Mosheiov and Sidney (2003) showed that the makespan minimization problem with job-dependent learning effects can be formulated as an assignment problem and solved in O(n3) time. We show that this problem can be solved in O(nlog n) time by sequencing the jobs according to the shortest processing time (SPT) order if we utilize the observation that the job-dependent learning rates are correlated with the level of sophistication of the jobs and assume that these rates are bounded from below. The optimality of the SPT sequence is also preserved when the job-dependent learning rates are inversely correlated with the level of sophistication of the jobs and bounded from above.

Suggested Citation

  • Koulamas, Christos, 2010. "A note on single-machine scheduling with job-dependent learning effects," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1142-1143, December.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:2:p:1142-1143
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    References listed on IDEAS

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    1. Mosheiov, Gur & Sidney, Jeffrey B., 2003. "Scheduling with general job-dependent learning curves," European Journal of Operational Research, Elsevier, vol. 147(3), pages 665-670, June.
    2. Biskup, Dirk & Simons, Dirk, 2004. "Common due date scheduling with autonomous and induced learning," European Journal of Operational Research, Elsevier, vol. 159(3), pages 606-616, December.
    3. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    4. Mosheiov, Gur, 2001. "Scheduling problems with a learning effect," European Journal of Operational Research, Elsevier, vol. 132(3), pages 687-693, August.
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    Cited by:

    1. Cheng, Bayi & Zhu, Huijun & Li, Kai & Li, Yongjun, 2019. "Optimization of batch operations with a truncated batch-position-based learning effect," Omega, Elsevier, vol. 85(C), pages 134-143.
    2. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.
    3. Heuser, Patricia & Tauer, Björn, 2023. "Single-machine scheduling with product category-based learning and forgetting effects," Omega, Elsevier, vol. 115(C).

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    Keywords

    Scheduling Single-machine Learning;

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