Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
One-side oscillation strategic approach
PDF (Español (España))

Keywords

heuristics
greedy algorithm
backtrack algorithm
one-dimensional cutting problem
Heurísticas
algoritmo goloso
algoritmo backtrack
problema unidimensional de cortes

How to Cite

Beausoleil, R., & Valcárcel Miró, Y. (2013). One-side oscillation strategic approach. Revista De Matemática: Teoría Y Aplicaciones, 20(1), 35–48. https://doi.org/10.15517/rmta.v20i1.8476

Abstract

This paper reports an approach developed to find a good quality solution for a generalized assignment problem with application to the Dimensional Cutting Problem. The objective at the Cutting Problemis to divide different pools of pieces of the same dimension among different items of available material all having two dimensions, the width and length. The solution is found keeping the largest number of pieces in a single material. Some initial numerical experiences found for the algorithm optimal and suboptimal solutions orinstances of more than 500 pieces at a very low computational cost.

https://doi.org/10.15517/rmta.v20i1.8476
PDF (Español (España))

References

Beausoleil, R.P. (1997) “Heuristic algorithm for assignment problem with application in the factory of clothes”, Proceedings of the 13th ISPE/IEE International Conference on CAD/CAM Robotics and Factories of the Future: 995–1000.

Colin, R.R. (1993) Modern Heuristic Techniques for Combinatorial Problems. American Halsted Press, John Wiley and Sons Inc., New York

Golomb, S.W.; Baumert L.D. (1965) “Backtrack programming”, ACM Journal 12: 516–526.

Portela, J.M.; Kuzmich, V. (1989) Modelos Económico-Matemáticos, Tomo I. Editorial Pueblo y Educación.

Simmons, D.M. (1969) “One-dimensional space allocation: an ordering algorithm”, ORSA Journal 17(5): 812–826.

Comments

Downloads

Download data is not yet available.