Effective Mathematical Simulation for One-Dimensional Cutting Stock Problem using Heuristics Approach

An ACO algorithm for one-dimensional cutting stock problem

The one-dimensional cutting stock problem, has so many applications in lots of industrial processes and during the past few years has attracted so many researchers’ attention all over the world. In this paper a meta-heuristic method based on ACO is presented to solve this problem. In this algorithm, based on designed probabilistic laws, artificial ants do select various cuts and then select the...

A Local Search Approach for One Dimensional Cutting Stock Problem

One dimensional cutting stock problem (1D-CSP) is one of the representative combinatorial optimization problems, which has many applications in, e.g., steel, paper and fiber industries. To define an instance of 1D-CSP, we are given sufficient number of stock rolls which have the same length L, and m types of products with given lengths (l1, l2, . . . , lm) and demands (d1, d2, . . . , dm). A cu...

an aco algorithm for one-dimensional cutting stock problem

the one-dimensional cutting stock problem, has so many applications in lots of industrial processes and during the past few years has attracted so many researchers’ attention all over the world. in this paper a meta-heuristic method based on aco is presented to solve this problem. in this algorithm, based on designed probabilistic laws, artificial ants do select various cuts and then select the...

Choice of Method for General One-Dimensional Cutting Stock Problem

Problems in operations research are often NP complete and optimal solution for larger problems cannot be obtained, therefore heuristic methods have to be used. The boundary between the size of the problem that can be solved optimally and those where heuristic methods should be used is not always clear. To solve this problem we propose a method based on decision trees. The method can be also use...

Solving the General One-Dimensional Cutting Stock Problem with a Cutting Plane Approach