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Optimal placements of flexible objects: An adaptive simulated annealing approach

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Parallel Problem Solving from Nature — PPSN V (PPSN 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1498))

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Abstract

This paper deals with the computation of equilibrium states for the placement of flexible objects within a rigid boundary. The equilibrium states have to be calculated from uniformly distributed random initial placements. The final placements must ensure that any particular object is deformed only within the limit of elasticity of the material. A simulated annealing approach has been proposed and implemented in [2] to solve the problem. In this study, an adaptive simulated annealing algorithm is proposed with time complexity upper bounded by O(n · ln 2 n). The general approach is to determine at a given temperature and a given grid size whether the optimization has achieved a stable state, which will be defined later. The temperature and the grid size are then decreased adaptively. In terms of both run-time and final force of the placement, better results are obtained when compared with those obtained in [2].

On leave from BerCom Ltd., Bruno-Taut-Straße 4 — 6, D-12527 Berlin, Germany

On leave from IBM T.J. Watson Research Center, P.O.Box 218, Yorktown Heights, N.Y., U.S.A.

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References

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Authors and Affiliations

  1. Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong

    S. K. Cheung, K. S. Leung, A. Albrecht & C. K. Wong

Authors
  1. S. K. Cheung
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  2. K. S. Leung
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  3. A. Albrecht
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  4. C. K. Wong
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Editor information

Agoston E. Eiben Thomas Bäck Marc Schoenauer Hans-Paul Schwefel

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© 1998 Springer-Verlag Berlin Heidelberg

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Cheung, S.K., Leung, K.S., Albrecht, A., Wong, C.K. (1998). Optimal placements of flexible objects: An adaptive simulated annealing approach. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, HP. (eds) Parallel Problem Solving from Nature — PPSN V. PPSN 1998. Lecture Notes in Computer Science, vol 1498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0056938

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  • DOI: https://doi.org/10.1007/BFb0056938

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  • Print ISBN: 978-3-540-65078-2

  • Online ISBN: 978-3-540-49672-4

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