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Single-Machine Green Scheduling Problem of Multi-speed Machine

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Intelligent Computing Theories and Application (ICIC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11644))

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Abstract

This paper proposes an accurate dynamic programming algorithm (EDPA) to solve the single-machine scheduling problem with release time (SMSP_RTs), which targets total carbon emissions. First of all, considering the constraints of each workpiece with different release time and expected completion time, and the different speeds of the machine consume different energy, the length of time the workpiece is processed at different speeds is different, and the problem is established on this basis. Sorting model. The model can be expressed as a ternary method. Then, construct a state recursive equation and design an exact dynamic programming algorithm (EDPA). EDPA has the complexity of pseudo-polynomial time to obtain the optimal solution to the problem. Finally, through simulation experiments, the effectiveness of the proposed EDPA is verified, and the influence of machine speed on energy saving and emission reduction is analyzed.

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Acknowledgements

This research is partially supported by National Natural Science Foundation of China (51665025), Applied Basic Research Key Project of Yunnan, China, and National Natural Science Fund for Distinguished Young Scholars of China (61525304).

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Correspondence to Bin Qian .

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Yang, A., Qian, B., Hu, R., Wang, L., Li, SH. (2019). Single-Machine Green Scheduling Problem of Multi-speed Machine. In: Huang, DS., Jo, KH., Huang, ZK. (eds) Intelligent Computing Theories and Application. ICIC 2019. Lecture Notes in Computer Science(), vol 11644. Springer, Cham. https://doi.org/10.1007/978-3-030-26969-2_63

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  • DOI: https://doi.org/10.1007/978-3-030-26969-2_63

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26968-5

  • Online ISBN: 978-3-030-26969-2

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