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Mathematics
Volume 13
Issue 3
10.3390/math13030485
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Population-Based Search Algorithms for Biopharmaceutical Manufacturing Scheduling Problem with Heterogeneous Parallel Mixed Flowshops

by
Yong Jae Kim
,
Hyun Joo Kim
and
Byung Soo Kim
*
Department of Industrial and Management Engineering, Incheon National University, 119, Academy-ro, Yeonsu-gu, Incheon 22012, Republic of Korea
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(3), 485; https://doi.org/10.3390/math13030485
Submission received: 30 December 2024 / Revised: 29 January 2025 / Accepted: 30 January 2025 / Published: 31 January 2025
(This article belongs to the Section E1: Mathematics and Computer Science)
Versions Notes

Abstract

In this paper, we address biopharmaceutical manufacturing scheduling problems with heterogeneous parallel mixed flowshops. The mixed flowshop consists of three stages, one batch process and two continuous processes. The objective function is to minimize the total tardiness. We formulated a mixed-integer linear programming model for the problem to obtain optimal solutions to small-size problems. We present a genetic algorithm and particle swarm optimization, which are used to find efficient solutions for large-size problems. We show that the particle swarm optimization outperforms the genetic algorithm in large-size problems. We conduct a sensitivity analysis to obtain managerial insights using the particle swarm optimization algorithm.
Keywords: biopharmaceutical manufacture; scheduling; mixed-integer linear programming; meta-heuristic algorithms biopharmaceutical manufacture; scheduling; mixed-integer linear programming; meta-heuristic algorithms

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MDPI and ACS Style

Kim, Y.J.; Kim, H.J.; Kim, B.S. Population-Based Search Algorithms for Biopharmaceutical Manufacturing Scheduling Problem with Heterogeneous Parallel Mixed Flowshops. Mathematics 2025, 13, 485. https://doi.org/10.3390/math13030485

AMA Style

Kim YJ, Kim HJ, Kim BS. Population-Based Search Algorithms for Biopharmaceutical Manufacturing Scheduling Problem with Heterogeneous Parallel Mixed Flowshops. Mathematics. 2025; 13(3):485. https://doi.org/10.3390/math13030485

Chicago/Turabian Style

Kim, Yong Jae, Hyun Joo Kim, and Byung Soo Kim. 2025. "Population-Based Search Algorithms for Biopharmaceutical Manufacturing Scheduling Problem with Heterogeneous Parallel Mixed Flowshops" Mathematics 13, no. 3: 485. https://doi.org/10.3390/math13030485

APA Style

Kim, Y. J., Kim, H. J., & Kim, B. S. (2025). Population-Based Search Algorithms for Biopharmaceutical Manufacturing Scheduling Problem with Heterogeneous Parallel Mixed Flowshops. Mathematics, 13(3), 485. https://doi.org/10.3390/math13030485

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