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A Three-Machine Flowshop Scheduling Problem with Linear Fatigue Effect

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Pubblicato in:Mathematics vol. 13, no. 22 (2025), p. 3670-3696
Autore principale: Xu, Weiping
Altri autori: Sun Zehou, Ai Xiaotian, Zhao Baoyun, Lu, Jingyi, Zhou Hanyu, Mao Xinqi, Wen Xiaoling, Chin-Chia, Wu, Liu, Shufeng
Pubblicazione:
MDPI AG
Soggetti:
Fatigue
Linear programming
Integer programming
Collaboration
Optimization
Production scheduling
Job shops
Automation
Manufacturing
Efficiency
Scheduling
Simulation
Operators (mathematics)
Tabu search
Effectiveness
Algorithms
Encoding-Decoding
Integrated approach
Mixed integer
Adaptive search techniques
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Abstract: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.
ISSN:2227-7390
DOI:10.3390/math13223670
Fonte:Engineering Database