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Single-machine scheduling with a time-dependent deterioration

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Abstract

The paper deals with the single-machine scheduling problems with a time-dependent deterioration. By time-dependent deterioration, we mean that the processing time of a job is defined by an increasing function of total normal processing time of jobs in front of it in the sequence. We show that, even with the introduction of time-dependent deterioration to job processing times, the single-machine makespan minimization problem remains polynomially solvable. We also show that an optimal schedule of the total completion time minimization problem is V-shaped with respect to normal job processing times.

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Authors and Affiliations

  1. School of Science, Shenyang Institute of Aeronautical Engineering, Shenyang, 110136, People’s Republic of China

    Ji-Bo Wang, Li-Yan Wang, Dan Wang & Xiao-Yuan Wang

  2. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Li-Yan Wang

Authors
  1. Ji-Bo Wang
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  2. Li-Yan Wang
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  3. Dan Wang
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  4. Xiao-Yuan Wang
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Correspondence to Ji-Bo Wang.

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Wang, JB., Wang, LY., Wang, D. et al. Single-machine scheduling with a time-dependent deterioration. Int J Adv Manuf Technol 43, 805–809 (2009). https://doi.org/10.1007/s00170-008-1760-6

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  • DOI: https://doi.org/10.1007/s00170-008-1760-6

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