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Idle time and capacity control for a single machine scheduling problem with dynamic electricity pricing

Author

Listed:
  • Seokgi Lee

    (University of Miami)

  • Mona Issabakhsh

    (University of Miami)

  • Hyun Woo Jeon

    (Louisiana State University)

  • Seong Wook Hwang

    (Hongik University)

  • Byung Chung

    (Yonsei University)

Abstract

In this paper, we develop a dynamic control algorithm for production scheduling that considers machine capacity and idle time controls and aims at satisfying time related production demand and reducing energy consumption in a unified manner. A mixed integer nonlinear programming (MINLP) model is developed to determine job arrival sequence for a machine and machine capacity while minimizing resulting costs of just-in-time production, machine repair, and energy consumption during machine idle time and nominal processing. A dynamic control algorithm based on feedback control of continuous variables is also developed to determine an energy-efficient production schedule with proper machine capacity and turn-off schedules. Energy, JIT, and maintenance costs of the proposed approach are examined using real energy and machining parameters of a HAAS VF0 milling machine. Algorithmic performance of the proposed dynamic control approach is compared to other heuristics, adaptive large neighborhood search (ALNS), and genetic algorithm (GA) with a speed optimization (SO) component. Experimental results show that the proposed algorithm improved performance by an average 10.0 ~ 93.8% and 0.52 ~ 22.9% compared to GA and ALNS with the SO module, respectively.

Suggested Citation

  • Seokgi Lee & Mona Issabakhsh & Hyun Woo Jeon & Seong Wook Hwang & Byung Chung, 2020. "Idle time and capacity control for a single machine scheduling problem with dynamic electricity pricing," Operations Management Research, Springer, vol. 13(3), pages 197-217, December.
    • Handle: RePEc:spr:opmare:v:13:y:2020:i:3:d:10.1007_s12063-020-00156-x
    DOI: 10.1007/s12063-020-00156-x
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    References listed on IDEAS

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