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Duan Li, Xiaoling Sun (2000)
Success Guarantee of Dual Search in Integer Programming: p-th Power Lagrangian MethodJournal of Global Optimization, 18
Xiaoling Sun, Duan Li (2000)
Asymptotic Strong Duality for Bounded Integer Programming: A Logarithmic-Exponential Dual FormulationMath. Oper. Res., 25
Duan Li (1995)
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Duan Li (1999)
Zero duality gap in integer programming: P-norm surrogate constraint methodOper. Res. Lett., 25
X. Sun, Duan Li (1999)
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M. Sinclair (1986)
An exact penalty function approach for nonlinear integer programming problemsEuropean Journal of Operational Research, 27
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].
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2004
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