Exact penalty function and asymptotic strong nonlinear duality in integer programming

Fu Sheng Bai; Z. Y. Wu; L. S. Zhang

doi:10.1007/s10255-004-0147-1

Exact penalty function and asymptotic strong nonlinear duality in integer programming

Fu Sheng Bai^*, Z. Y. Wu, L. S. Zhang

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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].

源语言	英语
页（从-至）	45-52
页数	8
期刊	Acta Mathematicae Applicatae Sinica
卷	20
期	1
DOI	https://doi.org/10.1007/s10255-004-0147-1
出版状态	已出版 - 2004
已对外发布	是

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Bai, F. S., Wu, Z. Y., & Zhang, L. S. (2004). Exact penalty function and asymptotic strong nonlinear duality in integer programming. Acta Mathematicae Applicatae Sinica, 20(1), 45-52. https://doi.org/10.1007/s10255-004-0147-1

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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].",

keywords = "Asymptotic strong duality, Exact penalty function, Integer programming",

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AU - Bai, Fu Sheng

AU - Wu, Z. Y.

AU - Zhang, L. S.

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N2 - 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].

AB - 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].

KW - Asymptotic strong duality

KW - Exact penalty function

KW - Integer programming

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U2 - 10.1007/s10255-004-0147-1

DO - 10.1007/s10255-004-0147-1

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Exact penalty function and asymptotic strong nonlinear duality in integer programming

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