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New perspectives in VLSI design automation: deterministic packing by Sequence Pair

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  • Adam Janiak
  • Andrzej Kozik
  • Maciej Lichtenstein

Abstract

In the paper we consider a problem of packing rectangular blocks on a plane, which is known as Block Packing Problem (BPP). This problem is a central issue of the modern VLSI chips design methods. Basing on a new interpretation of the Sequence-Pair representation of the packing solution-space, which is based on Complementary Mirror Constraint Graphs (CMCG), we develop the efficient method of neighborhood exploration. This method might be able to improve the efficiency of other neighborhood-based search methods, such as simulated annealing or tabu search, as well as, to construct efficient heuristics. We illustrate application of the developed method by constructing a heuristic algorithm for solving BPP and comparing its efficiency and effectiveness to the algorithms commonly used so far. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Adam Janiak & Andrzej Kozik & Maciej Lichtenstein, 2010. "New perspectives in VLSI design automation: deterministic packing by Sequence Pair," Annals of Operations Research, Springer, vol. 179(1), pages 35-56, September.
    • Handle: RePEc:spr:annopr:v:179:y:2010:i:1:p:35-56:10.1007/s10479-008-0460-9
    DOI: 10.1007/s10479-008-0460-9
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    References listed on IDEAS

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    1. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    2. Oguz, Ceyda & Zinder, Yakov & Ha Do, Van & Janiak, Adam & Lichtenstein, Maciej, 2004. "Hybrid flow-shop scheduling problems with multiprocessor task systems," European Journal of Operational Research, Elsevier, vol. 152(1), pages 115-131, January.
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    Cited by:

    1. Andrzej Kozik, 2017. "Handling precedence constraints in scheduling problems by the sequence pair representation," Journal of Combinatorial Optimization, Springer, vol. 33(2), pages 445-472, February.
    2. Bortfeldt, Andreas, 2013. "A reduction approach for solving the rectangle packing area minimization problem," European Journal of Operational Research, Elsevier, vol. 224(3), pages 486-496.

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