An Ising model mapping to solve rectangle packing problem

K Terada, D Oku, S Kanamaru…�- …�Symposium on VLSI�…, 2018 - ieeexplore.ieee.org
K Terada, D Oku, S Kanamaru, S Tanaka, M Hayashi, M Yamaoka, M Yanagisawa…
2018 International Symposium on VLSI Design, Automation and Test�…, 2018ieeexplore.ieee.org
Floorplanning of modules has been a significant role in VLSI design automation and it can
be formulated as the" Rectangle Packing Problem." Ising model-based computers (or
annealing machines) are the type of a non-von Neumann computer and recently expected to
solve combinatorial optimization problems efficiently. In this paper, we propose a mapping
of" Rectangle Packing Problem" for solving it by the annealing machines. In our proposed
mapping, a sequence-pair is represented on an Ising model. Our proposed approach maps�…
Floorplanning of modules has been a significant role in VLSI design automation and it can be formulated as the "Rectangle Packing Problem." Ising model-based computers (or annealing machines) are the type of a non-von Neumann computer and recently expected to solve combinatorial optimization problems efficiently. In this paper, we propose a mapping of "Rectangle Packing Problem" for solving it by the annealing machines. In our proposed mapping, a sequence-pair is represented on an Ising model. Our proposed approach maps a "Rectangle Packing Problem" with N rectangles onto a 3N 3 -spin logical Ising model. Experimental results demonstrate that through the proposed approach we can solve the problem with 18 rectangles at the maximum on a fully-connected annealing machine and the problem with three rectangles at the maximum on 20k-spin CMOS annealing machine.
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