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A mixed-integer linear programming formulation for the modular layout of three-dimensional connected systems

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  • O’Neill, Sam
  • Wrigley, Paul
  • Bagdasar, Ovidiu

Abstract

Given the considerable complexity of process plants, there has been a great deal of research focused on aiding the design of plant layout through mathematical optimisation, i.e. optimising the positioning of the equipment in the plant for space and cost efficiency. Recently, the use of modular approaches within the construction industry, whereby work is performed off-site before being assembled on-site, has become a popular and powerful way of reducing build schedules and costs. Modular approaches have many other real applications where items must be packed to minimise the connections between them (e.g. piping, wiring, modular office and factory layouts) and consider the modular layout of the system.

Suggested Citation

  • O’Neill, Sam & Wrigley, Paul & Bagdasar, Ovidiu, 2022. "A mixed-integer linear programming formulation for the modular layout of three-dimensional connected systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 739-754.
    • Handle: RePEc:eee:matcom:v:201:y:2022:i:c:p:739-754
    DOI: 10.1016/j.matcom.2021.09.019
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    References listed on IDEAS

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    1. Wang, Ruiqi & Zhao, Huan & Wu, Yan & Wang, Yufei & Feng, Xiao & Liu, Mengxi, 2018. "An industrial facility layout design method considering energy saving based on surplus rectangle fill algorithm," Energy, Elsevier, vol. 158(C), pages 1038-1051.
    2. H. Paul Williams, 2009. "Logic and Integer Programming," International Series in Operations Research and Management Science, Springer, number 978-0-387-92280-5, December.
    3. H. Paul Williams, 2009. "Modelling In Logic For Integer Programming," International Series in Operations Research & Management Science, in: Logic and Integer Programming, chapter 0, pages 71-103, Springer.
    4. Balakrishnan, Jaydeep & Cheng, Chun Hung & Conway, Daniel G. & Lau, Chun Ming, 2003. "A hybrid genetic algorithm for the dynamic plant layout problem," International Journal of Production Economics, Elsevier, vol. 86(2), pages 107-120, November.
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