A constraint programming-based decomposition strategy for the block assembly scheduling problem in shipbuilding

Javier Pernas-Álvarez, José-A. Becerra and Diego Crespo-Pereira

International Journal of Production Research, 2025, vol. 63, issue 20, 7617-7636

Abstract: This study presents a novel Constraint Programming-based decomposition strategy to optimise block assembly scheduling in shipbuilding, addressing the complex Flexible Job-Shop Scheduling Problem with Assemblies, Limited Buffer Capacity, Block Erection Strategy, and Due Dates (FJSP-A-LBC-BE-DD). The proposed approach integrates buffer constraints and block erection strategies into a comprehensive CP formulation while introducing an innovative decomposition method that optimises makespan and resource allocation. Through experimental validation, the results demonstrate the effectiveness of this strategy, revealing that buffer capacity constraints play a critical role in scheduling efficiency, whereas the block erection strategy has a limited influence on makespan optimisation. The developed monolithic CP model for resource usage optimisation, combined with the decomposition strategy for makespan minimisation, provides a scalable and practical solution for industrial-scale shipbuilding scheduling. By outperforming existing models that overlook buffer limitations, this methodology establishes a structured framework for enhancing production planning. Future directions involve real-world applications and integration with simulation models for real-time re-optimisation.Graphical abstract showing the shipbuilding process flow (subblock assembly through block erection), problem statement with constraints like buffer capacity and due dates, a methodological approach combining makespan and resource minimization models, and key findings about the novel CP-based strategy's efficiency for industrial-scale scheduling.

Date: 2025
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DOI: 10.1080/00207543.2025.2503465

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