An integrated column generation and Lagrangian relaxation for flowshop scheduling problems

Tatsushi Nishi, Yukinori Isoya, Masahiro Inuiguchi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 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 languageEnglish
Title of host publicationProceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Pages299-304
Number of pages6
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States
Duration: Oct 11 2009Oct 14 2009

Publication series

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

Conference

Conference2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
CountryUnited States
CitySan Antonio, TX
Period10/11/0910/14/09

Keywords

  • Column generation
  • Flowshop
  • Lagrangian relaxation
  • Scheduling

ASJC Scopus subject areas

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

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  • 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