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Exact Penalty Function and Asymptotic Strong Nonlinear Duality in Integer Programming

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Abstract

In this paper, a logarithmic-exponential penalty function with two parameters for integer programming is discussed. We obtain the exact penalty properties and then establish the asymptotic strong nonlinear duality in the corresponding logarithmic-exponential dual formulation by using the obtained exact penalty properties. The discussion is based on the logarithmic-exponential nonlinear dual formulation proposed in [6].

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai 200436, China

    Fu-sheng Bai

  2. Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China

    Z. Y. Wu

  3. Department of Mathematics, Shanghai University, Shanghai 200436, China

    L. S. Zhang

Authors
  1. Fu-sheng Bai
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  2. Z. Y. Wu
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  3. L. S. Zhang
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Correspondence to Fu-sheng Bai.

Additional information

Partially supported by the National Science Foundation of China (No. 10271073)

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Bai, Fs., Wu, Z.Y. & Zhang, L.S. Exact Penalty Function and Asymptotic Strong Nonlinear Duality in Integer Programming. Acta Mathematicae Applicatae Sinica, English Series 20, 45–52 (2004). https://doi.org/10.1007/s10255-004-0147-1

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  • DOI: https://doi.org/10.1007/s10255-004-0147-1

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