In this paper, we give a smoothing approximation to the lower order exact penalty functions for inequality-constrained optimization problems. Error estimations are obtained among the optimal objective function values of the smoothed penalty problem, of the nonsmooth penalty problem and of the original optimization problem. An algorithm based on the smoothed penalty function is presented, which ...

In this paper we introduce a modified penalty function (MPF) method for solving a problem which minimizes a nonlinear programming subject to inequality constraints. Basically, this method is a combination of the modified penalty methods and the Lagrangian methods. It treats inequality constraints with a modified penalty function and avoids the indifferentiability of max {x, 0}. This method alte...

The purpose of this paper is to study the behavior of elastic-plastic stresses under severe drag braking. A railway wheel performs three tasks, aiding in trian movement, supporting the car load, and acting as a brake drum. Finite element computer programs are developed for elasto-plastic stress analysis. An attempt is made here to find an improved fillet profile of the wheel with the intention ...