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Artificial Fish Swarm Algorithm for Two-Dimensional Non-Guillotine Cutting Stock Problem

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Advances in Neural Networks – ISNN 2013 (ISNN 2013)

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Abstract

In this paper we present Artificial Fish Swarm Algorithm (AFSA) applying to a two-dimensional non-guillotine cutting stock problem. Meanwhile, we use a converting approach which is similar to the Bottom Left (BL) algorithm to map the cutting pattern to the actual layout. Finally, we implement Artificial Fish Swarm Algorithm on several test problems. The simulated results show that the performance of Artificial Fish Swarm Algorithm is better than that of Particle Swarm Optimization Algorithm.

Supported by the National Natural Science Funds of China under Grant No. 61163034.

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References

  1. Gilmore, P.C., Gomory, R.E.: A Linear Programming Approach to the Cutting Stock Problem. Operations Research 9, 849–859 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  2. Gilmore, P.C., Gomory, R.E.: Multistage Cutting Stock Problems of Two and More Dimensions. Operations Research 13, 94–120 (1965)

    Article  MATH  Google Scholar 

  3. Huang, W., Chen, D., Xu, R.: A New Heuristic Algorithm for Rectangle Packing. Computers & Operations Research 34, 3270–3280 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Jokobs, S.: On Genetic Algorithms for the Packing of Polygons. European Journal of Operational Research 88, 165–181 (1996)

    Article  Google Scholar 

  5. Leung, T.W., Yung, C.H., Troutt Marvin, D.: Applications of Genetic Search and Simulated Annealing to the Two-dimensional Non-guillotine Cutting Stock Problem. Computer and Industrial Engineering 40, 201–214 (2001)

    Article  Google Scholar 

  6. Gonçalves, J.F.: A Hybrid Genetic Algorithm-Heuristic for a Two-dimensional Orthogonal Packing Problem. European Journal of Operational Research 183, 1212–1229 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Levine, J., Ducatelle, F.: Ant Colony Optimization and Local Search for Bin Packing and Cutting Stock Problems. Journal of the Operational Research Society 55, 705–716 (2004)

    Article  MATH  Google Scholar 

  8. Jiang, J.Q., Liang, Y.C., Shi, X.H., Lee, H.P.: A Hybrid Algorithm Based on PSO and SA and Its Application for Two-Dimensional Non-guillotine Cutting Stock Problem. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds.) ICCS 2004. LNCS, vol. 3037, pp. 666–669. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Shen, X., Li, Y., Yang, J., Yu, L.: A Heuristic Particle Swarm Optimization for Cutting Stock Problem Based on Cutting Pattern. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2007, Part IV. LNCS, vol. 4490, pp. 1175–1178. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  10. Lai, K.K., Chan, W.M.: Developing a Simulated Annealing Algorithm for the Cutting Stock Problem. Computer and Industrial Engineering 33, 115–127 (1997)

    Article  Google Scholar 

  11. Li, X., Shao, Z., Qian, J.: An Optimizing Method Based on Autonomous Animats: Fish-swarm Algorithm. Systems Engineering-theory & Practice 22, 32–38 (2002)

    Google Scholar 

  12. Lei, J.: Application Research of Artificial Fish Swarm Algorithm of in Combinatorial Optimization Problems. Xi’an University of Technology (2010)

    Google Scholar 

  13. Wei, Y.: One-Dimensional Cutting Stock Problem Based on Artificial Fish Swarm Algorithm. South China University of Technology (2010)

    Google Scholar 

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Bao, L., Jiang, Jq., Song, C., Zhao, L., Gao, J. (2013). Artificial Fish Swarm Algorithm for Two-Dimensional Non-Guillotine Cutting Stock Problem. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39068-5_66

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  • DOI: https://doi.org/10.1007/978-3-642-39068-5_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39067-8

  • Online ISBN: 978-3-642-39068-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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