Skip to main content

An Efficient Simple Cooling Schedule for Simulated Annealing

  • Conference paper
Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3045))

Included in the following conference series:

Abstract

The capability of Global solution of an optimization problem is the forte of Simulated Annealing (SA). Theoretically only the infinite-time algorithm can guarantee the global solution. The finite-time characteristics of the algorithm depend largely on the ensemble of certain control parameters. Since the main parameter is dubbed temperature, the dynamics of how it is manipulated is widely known as cooling schedule. A variety of methods, from simple geometric to highly complex, have been proposed in the literature. While global solution capability has been the overall goal for all implementation, few schedules combined effective solution with simplicity of the cooling schedule. A novel schedule is proposed which combines efficiency with simplicity into an easily implementable algorithm. Several fundamental cooling schemes are compared with the proposed one based on 2 test problems. Our schedule faired competitively with most while being the simplest. Keywords: Optimization, simulated annealing, cooling schedule.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220, 671–680 (1983)

    Article  MathSciNet  Google Scholar 

  2. Aarts, E.H.L., van Laarhoven, P.J.M.: Statistical Cooling: A General Approach to Combinatorial Optimization Problems. Philips J. of Research 40, 193–226 (1985)

    Google Scholar 

  3. Atiqullah, Mir, Rao, S.S.: Tuned Annealing for Optimization. In: Proceedings of the 2001 International Conference of Computational Science (ICCS 2001), San Francisco, CA, May 28-30 (2001)

    Google Scholar 

  4. Rao, S.S.: Engineering Optimization: Theory and practice. Wiley, Chichester (1995)

    Google Scholar 

  5. Huang, M.D., Romeo, F., Sangiovanni-Vincentelli, A.L.: An Efficient General Cooling Schedule for Simulated Annealing. In: Proceedings of IEEE International Conference on Computer-Aided Design, Santa Clara, November 1986, pp. 381–384 (1986)

    Google Scholar 

  6. Otten, R.H.J.M., van Ginneken, L.P.P.P.: Floorplan design using simulated annealing. In: Proceding of the IEEE International Conference on Computer Aided Design, Santa Clara, November 1984, pp. 96–98 (1984)

    Google Scholar 

  7. Romeo, F., Sangiovanni-Vincentelli, A.L.: Probabilistic Hill Climbing Algorithms: Properties and Applications. In: Proceedings of the Chapel Hill Conference and VL SI

    Google Scholar 

  8. Bennage, W.A., Dhingra, A.K.: Optimization of Truss Topology Using Tabu Search. International Journal for Numerical Methods in Engineering 38, 4035–4052 (1995)

    Article  MATH  Google Scholar 

  9. Rajeev, S., Krishnamurty, C.S.: Discrete Optimization of Structures using Genetic Algorithms. Journal of Struct. Engineering 118(5), 1233–1250 (1992)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Atiqullah, M.M. (2004). An Efficient Simple Cooling Schedule for Simulated Annealing. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24767-8_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24767-8_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22057-2

  • Online ISBN: 978-3-540-24767-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics