Skip to main content

General Particle Swarm Optimization Based on Simulated Annealing for Multi-specification One-Dimensional Cutting Stock Problem

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4456))

Abstract

In this paper a general particle swarm optimization based on simulated annealing algorithm (SA-GPSO) for the solution to multi-specification one-dimensional cutting stock problem is proposed. Due to the limitation of its velocity-displacement search model, particle swarm optimization (PSO) has less application on discrete and combinatorial optimization problems effectively. SA-GPSO is still based on PSO mechanism, but the new updating operator is developed from crossover operator and mutation operator of genetic algorithm. In order to repair invalid particle and reduce the searching space, best fit decrease (BFD) is introduced into repairing algorithm of SA-GPSO. According to the experimental results, it is observed that the proposed algorithm is feasible to solve both sufficient one-dimensional cutting problem and insufficient one-dimensional cutting problem.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kennedy, J., Eberhart, R.C.: Particle Swarm Optimization. In: Proceedings of IEEE International Conference on Neural Networks, Perth Australia, pp. 1942–1948. IEEE Computer Society Press, Los Alamitos (1995)

    Chapter  Google Scholar 

  2. Shi, Y., Eberhart, R.C.: Parameter Selection in Particle Swarm Adaptation. In: Evolutionary Programming, vol. VII, pp. 591–600. Springer, Heidelberg (1997)

    Google Scholar 

  3. Clerc, M., Kennedy, J.: The Particle Swarm - Explosion, Stability, and Convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation 6, 58–73 (2002)

    Article  Google Scholar 

  4. Gradišar, M., Jesenko, J., Resinovič, G.: Optimization of Roll Cutting in Clothing Industry. Computers and Operations Research 24, 945–953 (1997)

    Article  MATH  Google Scholar 

  5. Schilling, G., Georgiadis, M.: An Algorithm for the Determination of Optimal Cutting Patterns. Computers and Operations Research 29, 1041–1058 (2002)

    Article  MATH  Google Scholar 

  6. Dyckhoff, H.A: Typology of Cutting and Packing Problems. European Journal of Operational Research 44, 145–159 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  7. Eberhart, R.C., Shi, Y.: Comparison Between Genetic Algorithms and Particle Swarm Optimization. In: Porto, V.W., Waagen, D. (eds.) Evolutionary Programming VII. LNCS, vol. 1447, pp. 611–616. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  8. Parsopoulos, K.E., Vrahatis, M.N.: Recent Approaches to Global Optimization Problems Through Particle Swarm Optimization. Natural Computing 1, 235–306 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gradišar, M., Kljajić, M., Resinovič, G.: A Hybrid Approach for Optimization of One-dimensional Cutting. European Journal of Operational Research 119, 165–174 (1999)

    Google Scholar 

  10. Peiyong, L.: Optimization for Variable Inventory of One-dimensional Cutting Stock. Mechanical Science and Technology 22, 80–86 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, Y., Zheng, B., Dai, Z. (2007). General Particle Swarm Optimization Based on Simulated Annealing for Multi-specification One-Dimensional Cutting Stock Problem. In: Wang, Y., Cheung, Ym., Liu, H. (eds) Computational Intelligence and Security. CIS 2006. Lecture Notes in Computer Science(), vol 4456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74377-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74377-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74376-7

  • Online ISBN: 978-3-540-74377-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics