Multi-follower linear bilevel programming: model and Kuhn-Tucker approach

Research output: Contribution to report/book/conference proceedingsIn-proceedings paper

Authors

  • Da Ruan
  • Jie Lu
  • Chenggen Shi
  • Guangquan Zhang

Institutes & Expert groups

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Abstract

The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and single follower are involved. This paper proposes a general model and Kuhn-Tucker approach for linear bilevel programming problems in which one leader and multiple follower(s) are involved, and there may (not) be sharing variables among the followers. Finally, a numeric example is given to show how the Kuhn-Tucker approach is applied to solve multi-follower linear bilevel problems.

Details

Original languageEnglish
Title of host publicationProceedings of the IADIS International Conference on Applied Computing 2005
Place of PublicationAlgarve, Portugal
Pages81-88
Volume2
Publication statusPublished - Feb 2005
EventAC 2005- IADIS International Conference on Applied Computing - IADIS, Algarve, Portugal
Duration: 22 Feb 200525 Feb 2005

Conference

ConferenceAC 2005- IADIS International Conference on Applied Computing
CountryPortugal
CityAlgarve
Period2005-02-222005-02-25

Keywords

  • Linear bilevel programming, Kuhn-Tucker approach, optimization, decision making

ID: 87109