A ONE-DIMENSIONAL CUTTING STOCK PROBLEM IN THE ALUMINUM-INDUSTRY AND ITS SOLUTION

被引:60
作者
STADTLER, H
机构
[1] Am Pfeilshof 35b
关键词
linear programming; One-dimensional cutting stock problem;
D O I
10.1016/0377-2217(90)90356-G
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
When producing window frames made out of aluminium one faces the decision problem to determine how many aluminium profiles of a given standard length have to be bought to fulfill production requirements. As results of the currently implemented First Fit Decreasing (FFD) heuristic were regarded unsatisfactorily, a new code-based on the column generation procedure of Gilmore and Gomory-has been developed and supplemented by a one-pass branching up procedure to achieve integrality. Algorithmic details about the integrality achievement phase as well as results obtained when solving real world cutting stock problems on a personal computer are provided. © 1990.
引用
收藏
页码:209 / 223
页数:15
相关论文
共 13 条
[1]  
Coffman E. G., 1984, APPROXIMATION ALGORI, P49, DOI DOI 10.1007/978-3-7091-4338-4
[2]  
DIEGEL A, 1988, 9 EUR TIMS 28 JOINT
[3]  
Garey M. R., 1981, APPROXIMATION ALGORI, P147
[4]   INTEGER PROGRAMMING ALGORITHMS - FRAMEWORK AND STATE-OF-ART SURVEY [J].
GEOFFRION, AM ;
MARSTEN, RE .
MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (09) :465-491
[5]   A LINEAR-PROGRAMMING APPROACH TO THE CUTTING-STOCK PROBLEM [J].
GILMORE, PC ;
GOMORY, RE .
OPERATIONS RESEARCH, 1961, 9 (06) :849-859
[6]   A LINEAR-PROGRAMMING APPROACH TO THE CUTTING STOCK PROBLEM .2. [J].
GILMORE, PC ;
GOMORY, RE .
OPERATIONS RESEARCH, 1963, 11 (06) :863-888
[7]  
Johnston R. E., 1986, Asia-Pacific Journal of Operational Research, V3, P166
[8]  
LAND AH, 1973, FORTRAN CODES MATH P
[9]   A STUDY OF COMPOSITE HEURISTIC ALGORITHMS [J].
LANGSTON, MA .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1987, 38 (06) :539-544