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Energy-Efficient Scheduling for a Job Shop Using an Improved Whale Optimization Algorithm

Author

Listed:
  • Tianhua Jiang

    (School of Transportation, Ludong University, Yantai 264025, China)

  • Chao Zhang

    (Department of Computer Science and Technology, Henan Institute of Technology, Xinxiang 453003, China)

  • Huiqi Zhu

    (School of Transportation, Ludong University, Yantai 264025, China)

  • Jiuchun Gu

    (School of Transportation, Ludong University, Yantai 264025, China)

  • Guanlong Deng

    (School of Information and Electrical Engineering, Ludong University, Yantai 264025, China)

Abstract

Under the current environmental pressure, many manufacturing enterprises are urged or forced to adopt effective energy-saving measures. However, environmental metrics, such as energy consumption and CO 2 emission, are seldom considered in the traditional production scheduling problems. Recently, the energy-related scheduling problem has been paid increasingly more attention by researchers. In this paper, an energy-efficient job shop scheduling problem (EJSP) is investigated with the objective of minimizing the sum of the energy consumption cost and the completion-time cost. As the classical JSP is well known as a non-deterministic polynomial-time hard (NP-hard) problem, an improved whale optimization algorithm (IWOA) is presented to solve the energy-efficient scheduling problem. The improvement is performed using dispatching rules (DR), a nonlinear convergence factor (NCF), and a mutation operation (MO). The DR is used to enhance the initial solution quality and overcome the drawbacks of the random population. The NCF is adopted to balance the abilities of exploration and exploitation of the algorithm. The MO is employed to reduce the possibility of falling into local optimum to avoid the premature convergence. To validate the effectiveness of the proposed algorithm, extensive simulations have been performed in the experiment section. The computational data demonstrate the promising advantages of the proposed IWOA for the energy-efficient job shop scheduling problem.

Suggested Citation

  • Tianhua Jiang & Chao Zhang & Huiqi Zhu & Jiuchun Gu & Guanlong Deng, 2018. "Energy-Efficient Scheduling for a Job Shop Using an Improved Whale Optimization Algorithm," Mathematics, MDPI, vol. 6(11), pages 1-16, October.
  • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:220-:d:178835
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    References listed on IDEAS

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    1. Mansouri, S. Afshin & Aktas, Emel & Besikci, Umut, 2016. "Green scheduling of a two-machine flowshop: Trade-off between makespan and energy consumption," European Journal of Operational Research, Elsevier, vol. 248(3), pages 772-788.
    2. Guo-Sheng Liu & Bi-Xi Zhang & Hai-Dong Yang & Xin Chen & George Q. Huang, 2013. "A Branch-and-Bound Algorithm for Minimizing the Energy Consumption in the PFS Problem," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, March.
    3. Ding, Jian-Ya & Song, Shiji & Wu, Cheng, 2016. "Carbon-efficient scheduling of flow shops by multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 248(3), pages 758-771.
    4. Luo, Hao & Du, Bing & Huang, George Q. & Chen, Huaping & Li, Xiaolin, 2013. "Hybrid flow shop scheduling considering machine electricity consumption cost," International Journal of Production Economics, Elsevier, vol. 146(2), pages 423-439.
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