Skip to main content

Collaboration Between Hyperheuristics to Solve Strip-Packing Problems

  • Conference paper
Foundations of Fuzzy Logic and Soft Computing (IFSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4529))

Included in the following conference series:

Abstract

In this paper we introduce a collaboration framework for hyperheuristics to solve hard strip packing problems. We have designed a genetic based hyperheuristic to cooperate with a hill-climbing based hyperheuristic. Both of them use the most recently proposed low-level heuristics in the literature. REVAC, which has recently been proposed for tuning [18], has been used to find the best operators parameter values. The results obtained are very encouraging and have improved the results from both the single heuristics and the single hyperheuristics’ tests. Thus, we conclude that the collaboration among hyperheuristics is a good way to solve hard strip packing problems.

Partially Supported by the Fondecyt Project 106377.

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.

References

  1. Alvarez-Valdes, R., Parreño, F., Tamarit, J.M.: Reactive grasp for the strip packing problem. In: Proceedings Metaheuristic Conference MIC, vol. 1 (2005)

    Google Scholar 

  2. Araya, I., Riff, M.-C., Neveu, B.: Towards an efficient hyperheuristic for strip-packing problems. In: Proceedings of the 7th EU-Meeting, Málaga, Spain (2006)

    Google Scholar 

  3. Baker, B.S., Coffman, E.G., Rivest, R.L.: Orthogonal packings in two dimensions. SIAM Journal on Computing 9, 846–855 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bortfeldt, A.: A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces. European Journal of Operational Research 172, 814–837 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Bortfeldt, A., Gehring, H.: New large benchmarks for the two-dimensional strip packing problem with rectangular pieces. In: IEEE Proceedings of the 39th Hawaii International Conference on Systems Sciences, p. 30.2 (2006)

    Google Scholar 

  6. Burke, E., Kendall, G., Newall, J., Hart, E., Ross, P., Schulenburg, S.: Hyper-heuristics: an emerging direction in modern search technology. In: Handbook of Metaheuristics, vol. 16, pp. 457–474 (2003)

    Google Scholar 

  7. Cowling, P., Kendall, G., Han, L.: An adaptive length chromosome hyperheuristic genetic algorithm for a trainer scheduling problem. In: Proceedings SEAL (2002)

    Google Scholar 

  8. Cowling, P., Kendall, G., Han, L.: An investigation of a hyperheuristic genetic algorithm applied to a trainer scheduling problem. In: Proceedings CEC (2002)

    Google Scholar 

  9. Han, L., Kendall, G.: Guided operators for a hyper-heuristic genetic algorithm. In: Proceedings of AI-2003: Advances in Artificial Intelligence. The 16th Australian Conference on Artificial Intelligence, pp. 807–820 (2003)

    Google Scholar 

  10. Hopper, E.: Two-Dimensional Packing Utilising Evolutionary Algorithms and other Meta-Heuristic Methods. PhD. Thesis Cardiff University (2000)

    Google Scholar 

  11. Hopper, E., Turton, B.C.H.: An empirical investigation on metaheuristic and heuristic algorithms for a 2d packing problem. European Journal of Operational Research 128, 34–57 (2001)

    Article  MATH  Google Scholar 

  12. Iori, M., Martello, S., Monaci, M.: Metaheuristic algorithms for the strip packing problem, pp. 159–179. Kluwer Academic Publishers, Dordrecht (2003)

    Google Scholar 

  13. Lesh, N., Marks, J., McMahon, A., Mitzenmacher, M.: Exhaustive approaches to 2d rectangular perfect packings. Information Processing Letters 90, 7–14 (2004)

    Article  MathSciNet  Google Scholar 

  14. Lesh, N., Marks, J., McMahon, A., Mitzenmacher, M.: New heuristic and interactive approaches to 2d rectangular strip packing. ACM Journal of Experimental Algorithmics 10, 1–18 (2005)

    MathSciNet  Google Scholar 

  15. Lesh, N., Mitzenmacher, M.: Bubble search: A simple heuristic for improving priority-based greedy algorithms. Information Processing Letters 97, 161–169 (2006)

    Article  MathSciNet  Google Scholar 

  16. Martello, S., Monaci, M., Vigo, D.: An exact approach to the strip-packing problem. INFORMS Journal of Computing 15, 310–319 (2003)

    Article  MathSciNet  Google Scholar 

  17. Mumford-Valenzuela, C., Vick, J., Wang, P.Y.: Heuristics for large strip packing problems with guillotine patterns: An empirical study. In: Metaheuristics: computer decision-making. Applied Optimization, vol. 86, pp. 501–522. Kluwer Academic Publishers, Dordrecht (2003)

    Google Scholar 

  18. Nannen, V., Eiben, A.E.: Relevance estimation and value calibration of evolutionary algorithm parameters. In: Proceedings of Joint International Conference for Artificial Intelligence, IJCAI (2006)

    Google Scholar 

  19. Soke, A., Bingul, Z.: Hybrid genetic algorithm and simulated annealing for two-dimensional non-guillotine rectangular packing problems. Engineering Applications of Artificial Intelligence 19, 557–567 (2006)

    Article  Google Scholar 

  20. Zhang, D., Kang, Y., Deng, A.: A new heuristic recursive algorithm for the strip rectangular packing problem. Computers and Operations Research 33, 2209–2217 (2006)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Garrido, P., Riff, M.C. (2007). Collaboration Between Hyperheuristics to Solve Strip-Packing Problems. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_69

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72950-1_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics