The Pseudo Gradient Search and a Penalty Technique Used in Classifications

2007 ◽  
pp. 1419-1425
Author(s):  
J. Jumadinova ◽  
Z. Wang
Author(s):  
Xiaoliang Wang ◽  
Liping Pang ◽  
Qi Wu

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.


Author(s):  
Jon Atli Tomasson ◽  
Slawomir Koziel ◽  
Anna Pietrenko-Dabrowska ◽  
Qingsha S. Cheng

2007 ◽  
Vol 39 (1) ◽  
pp. 87-104 ◽  
Author(s):  
Min-Jea Tahk ◽  
Hyun-Wook Woo ◽  
Moon-Su Park

Author(s):  
Jirawadee Polprasert ◽  
Weerakorn Ongsakul ◽  
Vo Ngoc Dieu

This paper proposes an improved pseudo-gradient search particle swarm optimization (IPG-PSO) for solving optimal power flow (OPF) with non-convex generator fuel cost functions. The objective of OPF problem is to minimize generator fuel cost considering valve point loading, voltage deviation and voltage stability index subject to power balance constraints and generator operating constraints, transformer tap setting constraints, shunt VAR compensator constraints, load bus voltage and line flow constraints. The proposed IPG-PSO method is an improved PSO by chaotic weight factor and guided by pseudo-gradient search for particle's movement in an appropriate direction. Test results on the IEEE 30-bus and 118-bus systems indicate that IPG-PSO method is superior to other methods in terms of lower generator fuel cost, smaller voltage deviation, and lower voltage stability index.


Sign in / Sign up

Export Citation Format

Share Document