An integrated column generation and lagrangian relaxation for flowshop scheduling problems

Authors:
Tatsushi Nishi;Yukinori Isoya;Masahiro Inuiguchi
Affiliations:
Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka City, Japan;Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka City, Japan;Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka City, Japan
Venue:
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Year:
2009

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Abstract

In this paper, we address a new integration of column generation and Lagrangian relaxation for solving flowshop scheduling problems to minimize the total weighted tardiness. In the proposed method, initial columns are generated by using near-optimal dual solution using the Lagrange multipliers derived by Lagrangian relaxation method. After the generation of base columns, the column generation is executed. Computational results demonstrate that the integrated column generation and Lagrangian relaxation can drastically speed up the conventional column generation.