TY - GEN
T1 - A cut and column generation for flowshop scheduling problems to minimize the total weighted tardiness
AU - Isoya, Yukinori
AU - Nishi, Tatsushi
AU - Inuiguchi, Masahiro
PY - 2010
Y1 - 2010
N2 - We propose a new formulation for the column generation for solving flowshop scheduling problems to minimize the total weighted tardiness to derive tighter bounds. In the proposed method, each column represents a two-jobs schedule where the operations of two jobs do not overlap with each other. We show that the lower bound for the original problem can be strengthened by the proposed formulation without significantly increasing the total computing time. Computational experiments demonstrate that the proposed method can derive the solutions with a smaller duality gap compared with those of the conventional formulation.
AB - We propose a new formulation for the column generation for solving flowshop scheduling problems to minimize the total weighted tardiness to derive tighter bounds. In the proposed method, each column represents a two-jobs schedule where the operations of two jobs do not overlap with each other. We show that the lower bound for the original problem can be strengthened by the proposed formulation without significantly increasing the total computing time. Computational experiments demonstrate that the proposed method can derive the solutions with a smaller duality gap compared with those of the conventional formulation.
KW - Column generation
KW - Dantzig-Wolfe decomposition
KW - Flowshop
KW - Scheduling
KW - Total weighted tardiness
UR - http://www.scopus.com/inward/record.url?scp=77956596035&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77956596035&partnerID=8YFLogxK
U2 - 10.1109/INDIN.2010.5549634
DO - 10.1109/INDIN.2010.5549634
M3 - Conference contribution
AN - SCOPUS:77956596035
SN - 9781424473007
T3 - IEEE International Conference on Industrial Informatics (INDIN)
SP - 839
EP - 844
BT - Proceedings - INDIN 2010
T2 - 8th IEEE International Conference on Industrial Informatics, INDIN 2010
Y2 - 13 July 2010 through 16 July 2010
ER -