A smoothing-regularization approach to mathematical programs with vanishing constraints

Wolfgang Achtziger (), Tim Hoheisel () and Christian Kanzow ()

Computational Optimization and Applications, 2013, vol. 55, issue 3, 733-767

Abstract: We consider a numerical approach for the solution of a difficult class of optimization problems called mathematical programs with vanishing constraints. The basic idea is to reformulate the characteristic constraints of the program via a nonsmooth function and to eventually smooth it and regularize the feasible set with the aid of a certain smoothing- and regularization parameter t>0 such that the resulting problem is more tractable and coincides with the original program for t=0. We investigate the convergence behavior of a sequence of stationary points of the smooth and regularized problems by letting t tend to zero. Numerical results illustrating the performance of the approach are given. In particular, a large-scale example from topology optimization of mechanical structures with local stress constraints is investigated. Copyright Springer Science+Business Media New York 2013

Keywords: Mathematical programs with vanishing constraints; Mathematical programs with equilibrium constraints; Smoothing method; Regularization method; Global convergence (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10589-013-9539-6

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