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2009, Volume 5, Issue 3: 585-601. Doi: 10.3934/jimo.2009.5.585
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A penalty function algorithm with objective parameters for nonlinear mathematical programming

  • 1.

    College of Business and Administration, Zhejiang University of Technology, Zhejiang 310023

  • 2.

    School of Management, Fudan University, Shanghai 200433

  • 3.

    Department of Manufacturing Engineering & Engineering Management, City University of Hong Kong, Kowloon, Hong Kong

Received:  May 31, 2008
Revised:  October 31, 2008
Published:  June 2009
Abstract Related Papers Cited by
    Abstract
  • In this paper, we present a penalty function with objective parameters for inequality constrained optimization problems. We prove that this type of penalty functions has good properties for helping to solve inequality constrained optimization problems. Moreover, based on the penalty function, we develop an algorithm to solve the inequality constrained optimization problems and prove its convergence under some conditions. Numerical experiments show that we can obtain a satisfactorily approximate solution for some constrained optimization problems as the same as the exact penalty function.
    Mathematics Subject Classification: Primary: 65K05; Secondary: 90C30.

    Citation:
    shu

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