A penalty function method for solving ill-posed bilevel programming problem via weighted summation

2013 ◽  
Vol 26 (6) ◽  
pp. 1019-1027 ◽  
Author(s):  
Shihui Jia ◽  
Zhongping Wan
Keyword(s):  
Programming Problem ◽  
Penalty Function ◽  
Bilevel Programming ◽  
Function Method ◽  
Penalty Function Method ◽  
Bilevel Programming Problem ◽  
Ill Posed

A natural gas cash-out problem: A bilevel programming framework and a penalty function method

2006 ◽  
Vol 7 (4) ◽  
pp. 403-420 ◽  
Author(s):  
Vyacheslav V. Kalashnikov ◽  
Roger Z. Ríos-Mercado
Keyword(s):  
Natural Gas ◽  
Penalty Function ◽  
Bilevel Programming ◽  
Function Method ◽  
Penalty Function Method ◽  
Programming Framework

scholarly journals A penalty function method based on bilevel programming for solving inverse optimal value problems

2010 ◽  
Vol 23 (2) ◽  
pp. 170-175 ◽  
Author(s):  
Yibing Lv ◽  
Zhong Chen ◽  
Zhongping Wan
Keyword(s):  
Penalty Function ◽  
Bilevel Programming ◽  
Function Method ◽  
Penalty Function Method ◽  
Optimal Value

scholarly journals A global solution method for semivectorial bilevel programming problem

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1619-1627 ◽  
Author(s):  
Yue Zheng ◽  
Jiawei Chen ◽  
Xiaogang Cao
Keyword(s):  
Programming Problem ◽  
Global Solution ◽  
Penalty Function ◽  
Bilevel Programming ◽  
Original Problem ◽  
Solution Method ◽  
Numerical Results ◽  
Exact Penalty Function ◽  
Exact Penalty ◽  
Bilevel Programming Problem

In this paper, we consider a class of semivectorial bilevel programming problem. An exact penalty function is proposed for such a problem. Based on this penalty function, an algorithm, which can obtain a global solution of the original problem, is presented. Finally, some numerical results illustrate its feasibility.

Penalty function method of ill-posed problems solutions in electro-optical and spectroscopy intensity fluctuation methods

2017 ◽  
Author(s):  
K. M. Bregman ◽  
M. P. Petrov ◽  
A. A. Trusov ◽  
A. V. Voitylov ◽  
V. V. Vojtylov
Keyword(s):  
Penalty Function ◽  
Function Method ◽  
Intensity Fluctuation ◽  
Penalty Function Method ◽  
Ill Posed

A New Coordination Model for Ill-Posed Bilevel Programming Problem

2013 ◽  
Vol 411-414 ◽  
pp. 1943-1947 ◽  
Author(s):  
Shi Hui Jia ◽  
Yue Zheng
Keyword(s):  
Programming Problem ◽  
Bilevel Programming ◽  
Numerical Results ◽  
Bilevel Programming Problem ◽  
Coordination Model ◽  
Linear Bilevel Programming ◽  
Ill Posed

This paper studied the leader how to motivate the follower to maximize its interests for ill-posed linear bilevel programming problem. We first presented a coordination model and gived its corresponding penalty problem. Under some conditions, we established the result on the existence of the solution. Then, an algorithm was developed to obtain a coordination solution to the original bilevel programming problem. Finally, numerical results show that the proposed method is feasible.

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