English

A DC programming approach for constrained two-dimensional non-guillotine cutting problem

Computational Engineering, Finance, and Science 2014-04-15 v1

Abstract

We investigate a new application of Difference of Convex functions programming and DCA in solving the constrained two-dimensional non-guillotine cutting problem. This problem consists of cutting a number of rectangular pieces from a large rectangular object. The cuts are done under some constraints and the objective is to maximize the total value of the pieces cut. We reformulate this problem as a DC program and solve it by DCA. The performance of the approach is compared with the standard solver CPLEX.

Cite

@article{arxiv.1404.3330,
  title  = {A DC programming approach for constrained two-dimensional non-guillotine cutting problem},
  author = {Mahdi Moeini and Hoai An Le Thi},
  journal= {arXiv preprint arXiv:1404.3330},
  year   = {2014}
}

Comments

Proceedings of the International Conference on Industrial Engineering and Systems Management (IESM 2011), Metz, May 2011, pp. 212-221, (2011)

R2 v1 2026-06-22T03:49:27.750Z