Risk-control approach for bottleneck transportation problem with randomness and fuzziness

Takashi Hasuike*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Solving transportation problems is essential in engineering and supply chain management, where profitability depends on optimal traffic flow. This study proposes risk-control approaches for two bottleneck transportation problems with random variables and preference levels to objective functions with risk parameters. Each proposed model is formulated as a multiobjective programming problem using robust-based optimization derived from stochastic chance constraints. Since it is impossible to obtain a transportation pattern that optimizes all objective functions, our proposed models are numerically solved by introducing an aggregation function for the multiobjective problem. An exact algorithm that performs deterministic equivalent transformations and introduces auxiliary problems is also developed.

Original languageEnglish
Pages (from-to)663-678
Number of pages16
JournalJournal of Global Optimization
Issue number4
Publication statusPublished - 2014 Dec
Externally publishedYes


  • Bottleneck transportation problem
  • Multiobjective programming problem
  • Risk-control
  • Strict algorithm

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics


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