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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lutfiyya, H., McMillin, B., Poshyanonda, P., Dagli, C.: Composite stock cutting through simulated annealing. Mathl. Comput. Modeling 16(1), 57–74 (1992)
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)
Degraeve, Z., Vandebroek, M.: A mixed integer programming model for solving a layout problem in the fashion industry. Management Science 44, 301–310 (1998)
Beasley, J.E.: An exact two-dimensional non-guillotine cutting tree search procedure. Operations Research 33(1), 49–64 (1985)
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)
Baker, B.S., Coffman, E.G., Rivest, R.L.: Orthogonal packings in two dimensions. SIAM Journal on Computing 9(4), 846–855 (1980)
Bean, J.C.: A multiple-choice genetic algorithm for a nonlinear cutting stock problem. Computing in Science and Engineering 2(2), 80–83 (2000)
Jakobs, S.: On genetic algorithms for the packing polygons. European Journal of Operational Research 88, 165–181 (1996)
Hong, C., McMillin, B.: Relaxing synchronization in distributed simulated annealing. IEEE Trans. on Parallel and Distributed Systems 16(2), 189–195 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)