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...

nowadays, one-dimensional cutting stock problem (1d-csp) is used in many industrial processes and re-cently has been considered as one of the most important research topic. in this paper, a metaheuristic algo-rithm based on the simulated annealing (sa) method is represented to minimize the trim loss and also to fo-cus the trim loss on the minimum number of large objects. in this method, the 1d-...

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...

In this paper, we investigate the bi-objective multiperiod one-dimensional cutting stock problem that seeks to minimize cost of production associated with total length cut objects (waste) and inventory costs related items. A mathematical model is presented heuristically solved by a column generation method. Computational tests were performed using Weighted Sum method, ε-Constraint method variat...

Many numerical computations show a small difference only between the optimal value of the one-dimensional cutting stock problem and that of its corresponding linear programming relaxation. In this paper we investigate the one-dimensional cutting stock problem with respect to the modified integer round-up property (MIRUP) and present some results on subproblems having the MIRUP.

Many numerical computations show an only small difference between the optimal value of the one-dimensional cutting stock problem and that of its corresponding linear programming relaxation. In this paper we investigate the one-dimensional cutting stock problem with respect to the modified integer round-up property (MIRUP) and present some results on subproblems having the MIRUP.

Many numerical computations show a small diierence only between the optimal value of the one-dimensional cutting stock problem and that of its corresponding linear programming relaxation. In this paper we investigate the one-dimensional cutting stock problem with respect to the modiied integer roundup property (MIRUP) and present some results on subproblems having the MIRUP.