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Global Approaches for Facility Layout and VLSI Floorplanning

In: Handbook on Semidefinite, Conic and Polynomial Optimization

Author

Listed:
  • Miguel F. Anjos

    (École Polytechnique de Montréal)

  • Frauke Liers

    (Institut für Informatik, Universität zu Köln)

Abstract

This chapter provides an overview of conic optimization models for facility layout and VLSI floorplanning problems. We focus on two classes of problems to which conic optimization approaches have been successfully applied, namely the single-row facility layout problem, and fixed-outline floorplanning in VLSI circuit design. For the former, a close connection to the cut polytope has been exploited in positive semidefinite and integer programming approaches. In particular, the semidefinite optimization approaches can provide global optimal solutions for instances with up to 40 facilities, and tight global bounds for instances with up to 100 facilities. For the floorplanning problem, a conic optimization model provided the first non-trivial lower bounds in the literature.

Suggested Citation

  • Miguel F. Anjos & Frauke Liers, 2012. "Global Approaches for Facility Layout and VLSI Floorplanning," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 849-877, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-0769-0_29
    DOI: 10.1007/978-1-4614-0769-0_29
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    Citations

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    Cited by:

    1. 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.
    2. Markus Chimani & Philipp Hungerländer, 2013. "Exact Approaches to Multilevel Vertical Orderings," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 611-624, November.
    3. Dahlbeck, Mirko & Fischer, Anja & Fischer, Frank, 2020. "Decorous combinatorial lower bounds for row layout problems," European Journal of Operational Research, Elsevier, vol. 286(3), pages 929-944.
    4. Philipp Hungerländer & Franz Rendl, 2013. "A computational study and survey of methods for the single-row facility layout problem," Computational Optimization and Applications, Springer, vol. 55(1), pages 1-20, May.
    5. Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
    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. Hungerländer, Philipp & Anjos, Miguel F., 2015. "A semidefinite optimization-based approach for global optimization of multi-row facility layout," European Journal of Operational Research, Elsevier, vol. 245(1), pages 46-61.
    8. Ahonen, H. & de Alvarenga, A.G. & Amaral, A.R.S., 2014. "Simulated annealing and tabu search approaches for the Corridor Allocation Problem," European Journal of Operational Research, Elsevier, vol. 232(1), pages 221-233.
    9. Boukouvala, Fani & Misener, Ruth & Floudas, Christodoulos A., 2016. "Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO," European Journal of Operational Research, Elsevier, vol. 252(3), pages 701-727.
    10. Carrizosa, Emilio & Guerrero, Vanesa & Romero Morales, Dolores, 2018. "On Mathematical Optimization for the visualization of frequencies and adjacencies as rectangular maps," European Journal of Operational Research, Elsevier, vol. 265(1), pages 290-302.

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