邱根胜, 王金凤. 一类非线性双层规划问题的罚函数[J]. 南昌航空大学学报(自然科学版), 2009, 23(3): 61-64.
引用本文: 邱根胜, 王金凤. 一类非线性双层规划问题的罚函数[J]. 南昌航空大学学报(自然科学版), 2009, 23(3): 61-64.
QIU Gen-sheng, WANG Jin-feng. Penalty Function of the Nonlinear Bilevel Programming Problem[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(3): 61-64.
Citation: QIU Gen-sheng, WANG Jin-feng. Penalty Function of the Nonlinear Bilevel Programming Problem[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(3): 61-64.

一类非线性双层规划问题的罚函数

Penalty Function of the Nonlinear Bilevel Programming Problem

  • 摘要: 文章对含约束的非线性双层规划问题,提出了一种罚函数的构造,先对下层规划进行等价处理,再对上层函数构造罚函数,使其转化成单层无约束规划问题,使得它能采用无约束优化方法中许多有效的解析方法.

     

    Abstract: This paper puts forward the structure of a penalty function for constrained nonlinear bilevel programming.First it carries out equivalence treatment of the lower-level problem,and then structures a penalty function for the upper level function to make it into a single unconstrained programming problem.So many valid analytical methods can be used in the unconstrained optimization methods.

     

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