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Growing Science » International Journal of Industrial Engineering Computations » Critical paths of non-permutation and permutation flow shop scheduling problems

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International Journal of Industrial Engineering Computations
ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print)
Quarterly Publication
Volume 11 Issue 2 pp. 281-298, 2020

Critical paths of non-permutation and permutation flow shop scheduling problems Pages 281-298 Right click to download the paper Download PDF

Authors: Daniel Alejandro Rossit, Fernando Tohmé, Mariano Frutos, Martín Safe, Óscar C. Vásquez

📋 Author Affiliations:
Daniel Alejandro Rossit ORCID 1, Fernando Tohmé2, Mariano Frutos ORCID 3, Martín Safe ORCID 4, Óscar C. Vásquez ORCID 5
1 Department of Engineering, Universidad Nacional del Sur, Argentina
2 INMABB UNS CONICET, Av. Alem 1253, Bahía Blanca, Buenos Aires, Argentina
3 Department of Economy, Universidad Nacional del Sur, Argentina
4 IIESS UNS CONICET, Argentina
5 Department of Mathematics, Universidad Nacional del Sur, Argentina
doi 10.5267/j.ijiec.2019.8.001
8 Source: Scopus
Crossref 7 Source: CrossRef

🔑 Keywords: Non-permutation flow shop, Scheduling, Makespan, Critical path

Abstract: The literature on flow shop scheduling has extensively analyzed two classes of problems: permutation and non-permutation ones (PFS and NPFS). Most of the papers in this field have been just devoted on comparing the solutions obtained in both approaches. Our contribution consists of analyzing the structure of the critical paths determining the makespan of both kinds of schedules for the case of 2 jobs and m machines. We introduce a new characterization of the critical paths of PFS solutions as well as a decomposition procedure, yielding a representation of NPFS solutions as sequences of partial PFS ones. In structural comparisons we find cases in which NPFS solutions are dominated by PFS solutions. Numerical comparisons indicate that a wider dispersion of processing times improves the chances of obtaining optimal non-permutation schedules, in particular when this dispersion affects only a few machines.

How to cite this paper
APA: Rossit, D., Tohmé, F., Frutos, M., Safe, M & Vásquez, . (2020). Critical paths of non-permutation and permutation flow shop scheduling problems. International Journal of Industrial Engineering Computations, 11(2), 281-298.
Chicago/Turabian: Rossit, D., Tohmé, F., Frutos, M., Safe, M & Vásquez, . 2020. "Critical paths of non-permutation and permutation flow shop scheduling problems." International Journal of Industrial Engineering Computations 11, no. 2 (2020): 281-298.
AMA: Rossit, D., Tohmé, F., Frutos, M., Safe, M & Vásquez, . Critical paths of non-permutation and permutation flow shop scheduling problems. International Journal of Industrial Engineering Computations. 2020;11(2):281-298.

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📚 Journal: International Journal of Industrial Engineering Computations | 📅 Year: 2020 | 📖 Volume: 11 | 📄 Issue: 2 | 👁️ Views: 2351 | 📊 Crossref: 7

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