A Three-Machine Flowshop Scheduling Problem with Linear Fatigue Effect

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Udgivet i:Mathematics vol. 13, no. 22 (2025), p. 3670-3696
Hovedforfatter: Xu, Weiping
Andre forfattere: Sun Zehou, Ai Xiaotian, Zhao Baoyun, Lu, Jingyi, Zhou Hanyu, Mao Xinqi, Wen Xiaoling, Chin-Chia, Wu, Liu, Shufeng
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MDPI AG
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035 |a 3275541940 
045 2 |b d20250101  |b d20251231 
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100 1 |a Xu, Weiping  |u School of Management, Wuhan University of Technology, Wuhan 430074, China 
245 1 |a A Three-Machine Flowshop Scheduling Problem with Linear Fatigue Effect 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a Highly customized requirements in smart manufacturing result in the unavoidable manual execution of complex operational procedures. Physical and mental fatigue from long work periods for assembly-line operators induces production issues, such as defective work-in-processes or equipment failure. An effective production schedule should account for worker fatigue. This study investigates a three-machine flowshop scheduling problem with the objective of makespan minimization, in which a linear fatigue effect function provides an approximate mathematical representation of fatigue and recovery processes in workers. A mixed integer programming (MIP) model is developed to optimize the integration of automated and human-operated production in manufacturing systems. Given its NP-hardness, an improved tabu search (ITS) algorithm is designed to obtain high-quality solutions, incorporating multiple initial solutions, a well-designed encoding-decoding strategy, and a tabu-based adaptive search mechanism to enhance efficiency. Numerical simulations indicate the veracity of the MIP model and the effectiveness of the ITS algorithm. 
653 |a Fatigue 
653 |a Linear programming 
653 |a Integer programming 
653 |a Collaboration 
653 |a Optimization 
653 |a Production scheduling 
653 |a Job shops 
653 |a Automation 
653 |a Manufacturing 
653 |a Efficiency 
653 |a Scheduling 
653 |a Simulation 
653 |a Operators (mathematics) 
653 |a Tabu search 
653 |a Effectiveness 
653 |a Algorithms 
653 |a Encoding-Decoding 
653 |a Integrated approach 
653 |a Mixed integer 
653 |a Adaptive search techniques 
700 1 |a Sun Zehou  |u School of Management, Wuhan University of Technology, Wuhan 430074, China 
700 1 |a Ai Xiaotian  |u Shenyang Aircraft Design and Research Institute, Shenyang 110854, China 
700 1 |a Zhao Baoyun  |u Software College, Northeastern University, Shenyang 110819, China 
700 1 |a Lu, Jingyi  |u Software College, Northeastern University, Shenyang 110819, China 
700 1 |a Zhou Hanyu  |u Software College, Northeastern University, Shenyang 110819, China 
700 1 |a Mao Xinqi  |u Software College, Northeastern University, Shenyang 110819, China 
700 1 |a Wen Xiaoling  |u Shenyang Aircraft Design and Research Institute, Shenyang 110854, China 
700 1 |a Chin-Chia, Wu  |u Department of Statistics, Feng Chia University, Taichung 40724, Taiwan; cchwu@fcu.edu.tw 
700 1 |a Liu, Shufeng  |u Guobiao (Beijing) Testing & Certification Co., Ltd., Beijing 101407, China 
773 0 |t Mathematics  |g vol. 13, no. 22 (2025), p. 3670-3696 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3275541940/abstract/embedded/ZKJTFFSVAI7CB62C?source=fedsrch 
856 4 0 |3 Full Text + Graphics  |u https://www.proquest.com/docview/3275541940/fulltextwithgraphics/embedded/ZKJTFFSVAI7CB62C?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3275541940/fulltextPDF/embedded/ZKJTFFSVAI7CB62C?source=fedsrch