An integrated column generation and Lagrangian relaxation for flowshop scheduling problems

Tatsushi Nishi; Yukinori Isoya; Masahiro Inuiguchi

doi:10.1109/ICSMC.2009.5346159

An integrated column generation and Lagrangian relaxation for flowshop scheduling problems

Tatsushi Nishi, Yukinori Isoya, Masahiro Inuiguchi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Pages	299-304
Number of pages	6
DOIs	https://doi.org/10.1109/ICSMC.2009.5346159
Publication status	Published - 2009
Externally published	Yes
Event	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States Duration: Oct 11 2009 → Oct 14 2009

Publication series

Name	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)	1062-922X

Conference

Conference	2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Country/Territory	United States
City	San Antonio, TX
Period	10/11/09 → 10/14/09

Keywords

Column generation
Flowshop
Lagrangian relaxation
Scheduling

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Human-Computer Interaction

Access to Document

10.1109/ICSMC.2009.5346159

Cite this

Nishi, T., Isoya, Y., & Inuiguchi, M. (2009). An integrated column generation and Lagrangian relaxation for flowshop scheduling problems. In Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 (pp. 299-304). [5346159] (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). https://doi.org/10.1109/ICSMC.2009.5346159

An integrated column generation and Lagrangian relaxation for flowshop scheduling problems. / Nishi, Tatsushi; Isoya, Yukinori; Inuiguchi, Masahiro.

Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009. 2009. p. 299-304 5346159 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nishi, T, Isoya, Y & Inuiguchi, M 2009, An integrated column generation and Lagrangian relaxation for flowshop scheduling problems. in Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009., 5346159, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, pp. 299-304, 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009, San Antonio, TX, United States, 10/11/09. https://doi.org/10.1109/ICSMC.2009.5346159

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AB - 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.

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An integrated column generation and Lagrangian relaxation for flowshop scheduling problems

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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