Penalty parameter of the penalty function method

Cheng Yong Si, Tian Lan, Junjie Hu, Lei Wang, Qi Di Wu

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The penalty parameter of penalty function method is systematically analyzed and discussed. For the problem that Deb's feasibility-based rule doesnot give the detailed instruction as how to rank two solutions when they have the same constraint violation, an improved Deb's feasibility-based rule is presented, which can be seen as a reference standard. And based on this, the upper and lower boundary of penalty parameter that affects the ranking is obtained. The example verifies the effectiveness of the systematical analysis, which provides a basis for the future algorithm design based on the penalty parameters.
Original languageEnglish
JournalKongzhi yu Juece
Issue number9
Pages (from-to)1707-1710
Publication statusPublished - 2014


  • Control and Systems Engineering
  • Software
  • Artificial Intelligence
  • Control and Optimization
  • Constraint handling techniques
  • Deb's feasibility-based rule
  • Penalty parameter
  • Ranking methods
  • Computer simulation
  • Constraint violation
  • Constraint-handling techniques
  • Penalty function methods
  • Penalty parameters
  • Reference standard
  • Systematical analysis
  • Control


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