Row and column generation technique for a multistage cutting stock problem

2002 ◽  
Vol 29 (9) ◽  
pp. 1143-1156 ◽  
Author(s):  
Eugene J. Zak
Keyword(s):  
Column Generation ◽  
Cutting Stock Problem ◽  
Cutting Stock ◽  
Generation Technique

scholarly journals Set Covering Model in Solving Multiple Cutting Stock Problem

2020 ◽  
Vol 5 (4) ◽  
pp. 121
Author(s):  
Sisca Octarina ◽  
Devi Gusmalia Juita ◽  
Ning Eliyati ◽  
Putra Bahtera Jaya Bangun
Keyword(s):  
Column Generation ◽  
Pattern Generation ◽  
Cutting Stock Problem ◽  
Set Covering ◽  
Cutting Stock ◽  
Second Stage ◽  
Generation Technique ◽  
Cutting Pattern ◽  
Covering Model

Cutting Stock Problem (CSP) is the determination of how to cut stocks into items with certain cutting rules. A diverse set of stocks is called multiple stock CSP. This study used Pattern Generation (PG) algorithm to determine cutting pattern, then formulated it into a Gilmore and Gomory model and solved by using Column Generation Technique (CGT). Set Covering model was generated from Gilmore and Gomory model. Based on the results, selected cutting patterns in the first stage can be used in the second stage. The combination of patterns generated from Gilmore and Gomory model showed that the use of stocks was more effective than Set Covering model.  

A column generation heuristic for the two-dimensional two-staged guillotine cutting stock problem with multiple stock size

2012 ◽  
Vol 218 (1) ◽  
pp. 251-260 ◽  
Author(s):  
Fabio Furini ◽  
Enrico Malaguti ◽  
Rosa Medina Durán ◽  
Alfredo Persiani ◽  
Paolo Toth
Keyword(s):  
Column Generation ◽  
Cutting Stock Problem ◽  
Cutting Stock ◽  
Two Dimensional ◽  
Stock Size ◽  
Guillotine Cutting
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