Solving a two-dimensional trim-loss problem with mixed integer linear programming

Solving a two-dimensional trim-loss problem with mixed integer linear programming

0.00 Avg rating0 Votes
Article ID: iaor19992597
Country: Netherlands
Volume: 104
Issue: 3
Start Page Number: 572
End Page Number: 581
Publication Date: Feb 1998
Journal: European Journal of Operational Research
Authors: , ,
Keywords: trim loss
Abstract:

In this paper a two-dimensional trim-loss problem connected to the paper-converting industry is considered. The problem is to produce a set of product paper rolls from larger raw paper rolls such that the cost for waste and the cutting time is minimized. The problem is generally non-convex due to a bilinear objective function and some bilinear constraints, which give rise to difficulties in finding efficient numerical procedures for the solution. The problem can, however, be solved as a two-step procedure, where the latter step is a mixed integer linear programming (MILP) problem. In the present formulation, both the width and length of the raw paper rolls as well as the lengths of the product paper rolls are considered variables. All feasible cutting patterns are included in the problem and global optimal cutting patterns are obtained as the solution from the corresponding MILP problem. A numerical example is included to illustrate the proposed procedure.

Reviews

Required fields are marked *. Your email address will not be published.