Trade-off analysis on the multi-objective design optimization

Satoshi Kitayama*, Koetsu Yamazaki, Masao Arakawa, Hiroshi Yamakawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The aims of the multi-objective design optimization are to find the pareto optimal solutions, and are also to analyze the trade-off between the objectives. The interactive multi-objective design optimization based on the Satisficing Trade-Off Method (STOM) is used in this paper. Especially, the trade-off matrix to analyze the trade-off between objectives quantitatively is introduced. Each element of trade-off matrix consists of the projection matrix of active constraints and the gradient of objective functions. Additionally, it is possible to determine the new aspiration level by using the trade-off matrix. To obtain the new aspiration level, the compromise point and solution are defined by using the trade-off ratio. To obtain the compromise point, the designer input the trade-off ratio between objectives and can obtain the new aspiration level. It is also possible to apply the trade-off matrix to the automatic trade-off method, which is a method to determine the new aspiration level. Through basic numerical examples, the validity is examined.

Original languageEnglish
Pages (from-to)1828-1836
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number754
Publication statusPublished - 2009 Jun
Externally publishedYes


  • Compromise point
  • Engineering optimization
  • Multi-objective optimization
  • Optimal design
  • Satisficing Trade-Off Method
  • System engineering
  • Trade-off analysis

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Industrial and Manufacturing Engineering

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