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As a classical NP-hard problem, the fuzzy flexible job shop scheduling problem (FFJSP) combines fuzzy logic with flexible manufacturing systems, presenting unique challenges in modern production environments. A dual-discussion brainstorming optimisation method (D2BSO), based on timed Petri net (TdPN) and Taguchi's design of experiment (DOE) method, is proposed—TdPN-D3BSO. When a fuzzy timed Petri net model is developed for flexible job shop scheduling, the scheduling problem is translated into the resolution of transition sequences. A dual-discussion brainstorming optimisation, which incorporates intra-group discussions with inter-group exchanges, is proposed to solve the scheduling problem by encoding and decoding transition sequences. The DOE method is designed to optimise the parameters of the proposed algorithm to identify the best configuration. Simulation experiments on a set of FFJSP instances are conducted. The results show that the TdPN-D3BSO algorithm outperforms others in terms of robustness and stability compared with alternative algorithms.
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Mi et al. (2025) studied this question.
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