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Minimizing the total weighted completion time on a single machine under linear deterioration

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Abstract

This paper investigates a single-machine problem in which processing times of jobs are start time dependent and the aim is to minimize the total weighted completion time. Recent research has shown the complexity of this problem to be NP-hard; however, no optimal or heuristic algorithms have been proposed. In this paper, we explore the exact solution and propose several heuristic algorithms derived based on the impacts of model parameters. The effects of normal processing times and deterioration rates are also studied.

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Acknowledgements

The authors are grateful to the editor and the referees, whose constructive comments have led to a substantial improvement in the presentation of the paper.

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Authors and Affiliations

  1. Department of Statistics, Feng-Chia University, Taichung, Taiwan, People’s Republic of China

    Chin-Chia Wu & Wen-Chiung Lee

  2. Department of Industrial Engineering, Feng-Chia University, Taichung, Taiwan, People’s Republic of China

    Yau-Ren Shiau

Authors
  1. Chin-Chia Wu
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  2. Wen-Chiung Lee
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  3. Yau-Ren Shiau
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Correspondence to Chin-Chia Wu.

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Wu, CC., Lee, WC. & Shiau, YR. Minimizing the total weighted completion time on a single machine under linear deterioration. Int J Adv Manuf Technol 33, 1237–1243 (2007). https://doi.org/10.1007/s00170-006-0565-8

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  • DOI: https://doi.org/10.1007/s00170-006-0565-8

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