A reduction method for nonlinear semi-infinite programming based on an exact penalty technique

2016 ◽  
Vol 9 (3) ◽  
pp. 348
Author(s):  
Alzira Mota ◽  
A. Ismael F. Vaz
Keyword(s):  
Reduction Method ◽  
Exact Penalty ◽  
Infinite Programming ◽  
Penalty Technique

A Proximal Bundle Method with Exact Penalty Technique and Bundle Modification Strategy for Nonconvex Nonsmooth Constrained Optimization

2021 ◽  
pp. 2150015
Author(s):  
Xiaoliang Wang ◽  
Liping Pang ◽  
Qi Wu
Keyword(s):  
Operation Research ◽  
Bundle Method ◽  
Exact Penalty ◽  
Constraint Function ◽  
Modified Model ◽  
Proximal Bundle Method ◽  
Unconstrained Problem ◽  
Unconstrained Problems ◽  
Penalty Strategy ◽  
Penalty Technique

The bundle modification strategy for the convex unconstrained problems was proposed by Alexey et al. [[2007] European Journal of Operation Research, 180(1), 38–47.] whose most interesting feature was the reduction of the calls for the quadratic programming solver. In this paper, we extend the bundle modification strategy to a class of nonconvex nonsmooth constraint problems. Concretely, we adopt the convexification technique to the objective function and constraint function, take the penalty strategy to transfer the modified model into an unconstrained optimization and focus on the unconstrained problem with proximal bundle method and the bundle modification strategies. The global convergence of the corresponding algorithm is proved. The primal numerical results show that the proposed algorithms are promising and effective.

An exact penalty function for semi-infinite programming

1987 ◽  
Vol 37 (1) ◽  
pp. 19-40 ◽  
Author(s):  
Andrew R. Conn ◽  
Nicholas I. M. Gould
Keyword(s):  
Penalty Function ◽  
Exact Penalty Function ◽  
Exact Penalty ◽  
Infinite Programming

scholarly journals A new exact penalty method for semi-infinite programming problems

2014 ◽  
Vol 261 ◽  
pp. 271-286 ◽  
Author(s):  
Qun Lin ◽  
Ryan Loxton ◽  
Kok Lay Teo ◽  
Yong Hong Wu ◽  
Changjun Yu
Keyword(s):  
Penalty Method ◽  
Exact Penalty ◽  
Infinite Programming

scholarly journals On an exact penalty function method for semi-infinite programming problems

2012 ◽  
Vol 8 (3) ◽  
pp. 705-726 ◽  
Author(s):  
Cheng Ma ◽  
Xun Li ◽  
Ka-Fai Cedric Yiu ◽  
Yongjian Yang ◽  
Liansheng Zhang
Keyword(s):  
Penalty Function ◽  
Function Method ◽  
Exact Penalty Function ◽  
Penalty Function Method ◽  
Exact Penalty ◽  
Infinite Programming

scholarly journals A reduction method for semi-infinite programming by means of a global stochastic approach†

Optimization ◽  
2009 ◽  
Vol 58 (6) ◽  
pp. 713-726 ◽  
Author(s):  
Ana I.P.N. Pereira ◽  
Edite M.G.P. Fernandes
Keyword(s):  
Reduction Method ◽  
Stochastic Approach ◽  
Infinite Programming

Type -Reduction Method on Fuzzy Critical Path

2019 ◽  
Vol 7 (1) ◽  
pp. 256-259
Author(s):  
P.Balasowandari ◽  
Dr. V.Anusuya
Keyword(s):  
Reduction Method ◽  
Critical Path ◽  
Type Reduction
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