Production, maintenance, and quality are key components influencing the performance of manufacturing systems and should be considered in an integrated manner. However, the production dimensions of previous integrated studies have primarily focused on inventory and lot sizing, overlooking the impact of production scheduling on maintenance and quality. In fact, product quality depends on the degradation state of quality-related components (QRC) in the corresponding machine at different times. Therefore, effective production scheduling needs to further incorporate quality considerations. Meanwhile, maintenance should be coordinated with scheduling to maintain high reliability of both machines and QRC without interrupting product processing. Thus, this study first establishes machine deterioration and product quality loss models considering QRC under time-varying conditions, respectively. Based on this, a mixed integer linear programming (MILP) model for non-permutation flow shops and maintenance is further constructed. An improved multi-objective co-evolutionary artificial bee colony algorithm (IMOCABC) is proposed. It uses six heuristic rules to generate a high-quality initial population. Four crossover operators and six problem-specific neighborhood search operators are applied to improve both global and local search ability and promote cooperative evolution. The effectiveness of the proposed improvement strategy was verified through 20 cases. Meanwhile, it is indicated that IMOCABC outperforms four advanced metaheuristic algorithms. The proposed model and algorithm are applied to an automotive engine manufacturing workshop, reducing the combined cost of preventive maintenance and quality loss from 25,806 (traditional scheme) to 11,877 (integrated scheme), achieving a 46% reduction.
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