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Mathematical optimization approaches for facility layout problems: The state-of-the-art and future research directions

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  • Anjos, Miguel F.
  • Vieira, Manuel V.C.

Abstract

Facility layout problems are an important class of operations research problems that has been studied for several decades. Most variants of facility layout are NP-hard, therefore global optimal solutions are difficult or impossible to compute in reasonable time. Mathematical optimization approaches that guarantee global optimality of solutions or tight bounds on the global optimal value have nevertheless been successfully applied to several variants of facility layout. This review covers three classes of layout problems, namely row layout, unequal-areas layout, and multifloor layout. We summarize the main contributions to the area made using mathematical optimization, mostly mixed integer linear optimization and conic optimization. For each class of problems, we also briefly discuss directions that remain open for future research.

Suggested Citation

  • Anjos, Miguel F. & Vieira, Manuel V.C., 2017. "Mathematical optimization approaches for facility layout problems: The state-of-the-art and future research directions," European Journal of Operational Research, Elsevier, vol. 261(1), pages 1-16.
    • Handle: RePEc:eee:ejores:v:261:y:2017:i:1:p:1-16
    DOI: 10.1016/j.ejor.2017.01.049
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    Cited by:

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    6. Anjos, Miguel F. & Fischer, Anja & Hungerländer, Philipp, 2018. "Improved exact approaches for row layout problems with departments of equal length," European Journal of Operational Research, Elsevier, vol. 270(2), pages 514-529.
    7. Zhongwei Zhang & Lihui Wu & Zhaoyun Wu & Wenqiang Zhang & Shun Jia & Tao Peng, 2022. "Energy-Saving Oriented Manufacturing Workshop Facility Layout: A Solution Approach Using Multi-Objective Particle Swarm Optimization," Sustainability, MDPI, vol. 14(5), pages 1-28, February.
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    9. Uddin, Mohammad Nyme & Chi, Hung-Lin & Wei, His-Hsien & Lee, Minhyun & Ni, Meng, 2022. "Influence of interior layouts on occupant energy-saving behaviour in buildings: An integrated approach using Agent-Based Modelling, System Dynamics and Building Information Modelling," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
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    12. Ghorashi Khalilabadi, S. M. & Roy, D. & de Koster, M.B.M., 2022. "A Data-driven Approach to Enhance Worker Productivity by Optimizing Facility Layout," ERIM Report Series Research in Management ERS-2022-003-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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