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Distributed Simulated Annealing for Composite Stock Cutting Problem

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Parallel and Distributed Computing: Applications and Technologies (PDCAT 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3320))

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Abstract

The composite stock cutting problem is defined as allocating rectangular and irregular patterns onto a large composite stock sheet of finite dimensions in such a way that the resulting scrap will be minimized. In this paper, we propose distributed simulated annealing for this composite stock cutting problem. The new cost error tolerant scheme relaxes synchronization and does move generations asynchronously in a dynamically changed stream length to keep the convergence property of the sequential annealing. This paper also proposes the efficient data structures for pattern related information.

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References

  1. Lutfiyya, H., McMillin, B., Poshyanonda, P., Dagli, C.: Composite stock cutting through simulated annealing. Mathl. Comput. Modeling 16(1), 57–74 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  2. Fowler, R.J., Paterson, M.S., Tanimoto, S.L.: Optimal packing and covering in the plane are NP-complete. Information Processing Letters 12(3), 133–137 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  3. Degraeve, Z., Vandebroek, M.: A mixed integer programming model for solving a layout problem in the fashion industry. Management Science 44, 301–310 (1998)

    Article  MATH  Google Scholar 

  4. Beasley, J.E.: An exact two-dimensional non-guillotine cutting tree search procedure. Operations Research 33(1), 49–64 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  5. Morabito, R., Arenales, M.N.: Staged and constrained two-dimensional guillotine cutting problems: An AND/OR-graph approach. European Journal of Operational Research 94, 548–560 (1996)

    Article  MATH  Google Scholar 

  6. Baker, B.S., Coffman, E.G., Rivest, R.L.: Orthogonal packings in two dimensions. SIAM Journal on Computing 9(4), 846–855 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  7. Bean, J.C.: A multiple-choice genetic algorithm for a nonlinear cutting stock problem. Computing in Science and Engineering 2(2), 80–83 (2000)

    Google Scholar 

  8. Jakobs, S.: On genetic algorithms for the packing polygons. European Journal of Operational Research 88, 165–181 (1996)

    Article  MATH  Google Scholar 

  9. Hong, C., McMillin, B.: Relaxing synchronization in distributed simulated annealing. IEEE Trans. on Parallel and Distributed Systems 16(2), 189–195 (1995)

    Article  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Kim, W., Hong, CE., Kim, YJ. (2004). Distributed Simulated Annealing for Composite Stock Cutting Problem. In: Liew, KM., Shen, H., See, S., Cai, W., Fan, P., Horiguchi, S. (eds) Parallel and Distributed Computing: Applications and Technologies. PDCAT 2004. Lecture Notes in Computer Science, vol 3320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30501-9_52

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  • DOI: https://doi.org/10.1007/978-3-540-30501-9_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24013-6

  • Online ISBN: 978-3-540-30501-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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