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Continuous Global Routing

Author

Listed:
  • Daniel Blankenburg

    (University of Bonn)

  • Stefan Rabenstein

    (University of Bonn)

  • Pietro Saccardi

    (University of Bonn)

Abstract

We pick up a global routing model using rhomboidal tiles due to Hähnle and Saccardi and expand on their ideas. We add continuous via costs to their model and introduce a polyhedral description of rectilinear graphs with a fixed structure. Using this description, we derive a proof that minimum cost Steiner trees, rather than paths, lie on the rhomboidal Hanan grid and extend goal-oriented path search techniques to the rhomboidal model. We prove the competitiveness of this continuous routing approach by comparing subsequent detailed routing results to a traditional global router on the 5 nm technology node.

Suggested Citation

  • Daniel Blankenburg & Stefan Rabenstein & Pietro Saccardi, 2025. "Continuous Global Routing," Lecture Notes in Operations Research,, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-92575-7_24
    DOI: 10.1007/978-3-031-92575-7_24
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