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Population-Based Metaheuristic Algorithms for a Hybrid Batch-Continuous Production Scheduling Problem in a Distributed Pharmaceutical Supply Chain

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  • Seung Jae Lee

    (Department of Industrial and Management Engineering, Incheon National University, 119, Academy-ro, Yeonsu-gu, Incheon 22012, Republic of Korea)

  • Byung Soo Kim

    (Department of Industrial and Management Engineering, Incheon National University, 119, Academy-ro, Yeonsu-gu, Incheon 22012, Republic of Korea)

Abstract

We study a pharmaceutical scheduling problem with a hybrid batch-continuous manufacturing process in a distributed supply chain. The supply chain consists of heterogeneous plants and one distribution center. Each plant adopts an unrelated permutation flowshop layout consisting of a hybrid batch-continuous production line. Each pharmaceutical order is split and produced in multi-production sites located in various regions. The pharmaceutical medicines manufactured by the production sites are directly shipped to a distribution center. To minimize the makespan, we formulate the addressed scheduling problem as a mathematical model. To solve this model, we propose four metaheuristic variants by applying two population-based metaheuristics to two distinct solution structures. We compare the proposed metaheuristics to evaluate their performance in the numerical experiments. Additionally, we present managerial insights through sensitivity analysis.

Suggested Citation

  • Seung Jae Lee & Byung Soo Kim, 2026. "Population-Based Metaheuristic Algorithms for a Hybrid Batch-Continuous Production Scheduling Problem in a Distributed Pharmaceutical Supply Chain," Mathematics, MDPI, vol. 14(6), pages 1-25, March.
  • Handle: RePEc:gam:jmathe:v:14:y:2026:i:6:p:1044-:d:1899211
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