Research Review on the Scheduling Optimization of Production and Energy Systems under Uncertain Environments
DOI:
https://doi.org/10.63313/EPP.2006Keywords:
Uncertainty, Scheduling Optimization, Robust Optimization, Distributionally Robust Optimization, Deep Reinforcement LearningAbstract
The uncertainties in actual production and energy systems pose severe challenges to the stable, efficient, and low-carbon operation of the systems. Centering around the core of "uncertainty handling," this paper systematically reviews the mainstream modeling and solution methods for dealing with uncertainties in the current scheduling optimization field. At the measurement level, uncertainties can be characterized from two dimensions: parameter fluctuations and event perturbations, and there are essential differences in the impact mechanisms of the two on the scheduling scheme. From the perspective of uncertainty modeling, the theoretical foundations and applicable scenarios of methods such as fuzzy programming, stochastic programming, robust optimization, and distributionally robust optimization are reviewed; from the perspective of solution strategies, the evolution of methods from exact algorithms to heuristic, meta-heuristic, and then to intelligent decision-making methods based on learning and simulation is analyzed. At the effect level, uncertainties will significantly weaken the economic benefits and environmental performance of the scheduling scheme, but there are significant scenario heterogeneities in the degree of their impact. Research shows that distributionally robust optimization has attracted much attention due to its good balance between conservatism and economy, and the hybrid-driven method that combines simulation and learning is becoming an important trend to improve the adaptability of the scheduling system. Future research needs to further focus on the decision-making requirements in complex scenarios such as the coupling of multiple uncertainties, multi-agent games, and real-time dynamic responses.
References
[1] Jin Yihui, Dong Baoli. A flexible job shop scheduling method with uncertain processing time based on fuzzy Petri net. Electronic Science and Technology, 2026, 39(5): 1-12.
[2] Cheng Shan, Yao Jiamei, Ma Bingtai, et al. Distributed robust optimal scheduling for multi-microgrid with shared energy storage considering multi-agent interest game. Engineering Journal of Wuhan University, 2026. DOI:10.14188/j.1671-8844.2026.0081.
[3] Guo Junhua, Miao Wanying. Multi-objective optimization of low-carbon multimodal transportation under dual uncertainty. Journal of East China Jiaotong University, 2026. https://doi.org/10.16749/j.cnki.jecjtu.20260622.001 [Online First].
[4] Li Wenqiang, Shi Jiangpeng, Zhou Yadong. Optimization of distributed flexible workshop scheduling considering carbon emissions. Intelligent Computer and Applications, 2025, 15(11): 122 - 128.
[5] Yao Zongyu, Zhang Lihui, Li Yifei, et al. Robust optimization method for repetitive project scheduling. Chinese Journal of Management Science, 2026, 34(7): 206 - 217.
[6] Li Zhao, Wen Chengqin, Huang Weizhong, et al. Multi-worker collaborative flexible job shop scheduling considering skill learning differences. Modern Manufacturing Engineering, 2024(10): 9 - 15.
[7] Yang Xudong, Yin Jijiao, Liu Zhijian, et al. Low-carbon and economic robust optimal dispatch of integrated energy system in high-altitude construction park considering multiple uncertainties. Power System Protection and Control, 2026, 54(10): 115 - 126.
[8] Wang Z, Liao W, Zhang Y. Rescheduling optimisation of sustainable multi-objective fuzzy flexible job shop under uncertain environment. International Journal of Production Research, 2024, 62(24): 8904 - 8920.
[9] Yuan Z P, Xia J, Li P. Two-Time-Scale Energy Management for Microgrids With Data-Based Day-Ahead Distributionally Robust Chance-Constrained Scheduling. IEEE Transactions on Smart Grid, 2021, 12(6): 4776 - 4789.
[10] Ma X, Hu B, Xue Y, et al. IoT-Enhanced Multi-Stage Stochastic Optimization for Multi-Drug Dynamic Lot-Size and Community Delivery Scheduling Problem. IEEE Access, 2024, 12: 39428 - 39444.
[11] Esfahani P M, Kuhn D. Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations. Mathematical Programming, 2018, 171(1): 115 - 166.
[12] Allahverdi A. The third comprehensive survey on scheduling problems with setup times/costs. European Journal of Operational Research, 2015, 246(2): 345 - 378.
[13] Guzmán E, Andrés B, Poler R. Models and algorithms for production planning, scheduling and sequencing problems: A holistic framework and a systematic review. Journal of Industrial Information Integration, 2022, 30: 100387.
[14] Tan L, Kong T L, Zhang Z, et al. Scheduling and Controlling Production in an Internet of Things Environment for Industry 4.0: An Analysis and Systematic Review of Scientific Metrological Data. Sustainability, 2023, 15(9): 7600.
[15] Jiang Z, Yuan S, Ma J, et al. The Evolution of Production Scheduling from Industry 3.0 through Industry 4.0. International Journal of Production Research, 2021, 60(11): 3536-3560.
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