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Physical Design of Printed Circuit Boards: Group Technology Approach

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A Mathematical Theory of Design: Foundations, Algorithms and Applications

Part of the book series: Applied Optimization ((APOP,volume 17))

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Abstract

In this chapter, the applicability of Group Technology models and clustering techniques of the industrial engineering and operation research community to the partitioning problem of electronic circuits is examined. The problem is shown to be NP-complete, hence intractable within most modern computing environments. Characteristics of the solution are outlined and a grouping heuristic algorithm is discussed. We derive lower bounds on the objective function for any set of constraints on pairs of gates that must be in the same chip. The lower bounds and the grouping heuristic procedure are used to develop a branch and bound algorithm. Finally, computational results are given for four test problems.

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Ben Gurion University, Beer Sheva, Israel

    Dan Braha

  2. Department of Industrial Engineering, Tel-Aviv University, Tel-Aviv, Israel

    Oded Maimon

Authors
  1. Dan Braha
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  2. Oded Maimon
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© 1998 Springer Science+Business Media Dordrecht

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Braha, D., Maimon, O. (1998). Physical Design of Printed Circuit Boards: Group Technology Approach. In: A Mathematical Theory of Design: Foundations, Algorithms and Applications. Applied Optimization, vol 17. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2872-9_11

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  • DOI: https://doi.org/10.1007/978-1-4757-2872-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4798-7

  • Online ISBN: 978-1-4757-2872-9

  • eBook Packages: Springer Book Archive

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