A cut and column generation for flowshop scheduling problems to minimize the total weighted tardiness

Yukinori Isoya, Tatsushi Nishi, Masahiro Inuiguchi

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

Abstract

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.

Original languageEnglish
Title of host publicationProceedings - INDIN 2010
Subtitle of host publication8th IEEE International Conference on Industrial Informatics
Pages839-844
Number of pages6
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event8th IEEE International Conference on Industrial Informatics, INDIN 2010 - Osaka, Japan
Duration: Jul 13 2010Jul 16 2010

Publication series

NameIEEE International Conference on Industrial Informatics (INDIN)
ISSN (Print)1935-4576

Other

Other8th IEEE International Conference on Industrial Informatics, INDIN 2010
CountryJapan
CityOsaka
Period7/13/107/16/10

Keywords

  • Column generation
  • Dantzig-Wolfe decomposition
  • Flowshop
  • Scheduling
  • Total weighted tardiness

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

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  • Cite this

    Isoya, Y., Nishi, T., & Inuiguchi, M. (2010). A cut and column generation for flowshop scheduling problems to minimize the total weighted tardiness. In Proceedings - INDIN 2010: 8th IEEE International Conference on Industrial Informatics (pp. 839-844). [5549634] (IEEE International Conference on Industrial Informatics (INDIN)). https://doi.org/10.1109/INDIN.2010.5549634