New reformulations for stochastic nonlinear complementarity problems

نویسندگان

  • Gui-Hua Lin
  • Masao Fukushima
چکیده

We consider the stochastic nonlinear complementarity problem (SNCP). We first formulate the problem as a stochastic mathematical program with equilibrium constraints and then, in order to develop efficient algorithms, we give some reformulations of the problem. Furthermore, based on the reformulations, we propose a smoothed penalty method for solving SNCP. A rigorous convergence analysis is also given.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Reformulations and Smoothed Penalty Method for Stochastic Nonlinear Complementarity Problems

We consider the stochastic nonlinear complementarity problem (SNCP), which has been receiving much attention in the recent optimization world. We first formulate the problem as a stochastic mathematical program with equilibrium constraints (SMPEC) and then, in order to develop some efficient methods, we further give some reformulations of the SNCP. In particular, for the case where the random v...

متن کامل

Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems

We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, a distinctive feature of our approach is that we do not employ second derivatives of the equation mapping in the algorithm and we do not assume their existence in the convergence analysis. Important examples of once b...

متن کامل

Using exact penalties to derive a new equation reformulation of KKT systems associated to variational inequalities

In this paper, we present a new reformulation of the KKT system associated to a variational inequality as a semismooth equation. The reformulation is derived from the concept of differentiable exact penalties for nonlinear programming. The best results are presented for nonlinear complementarity problems, where simple, verifiable, conditions ensure that the penalty is exact. We also develop a s...

متن کامل

Stationary Points of Bound Constrained Minimization Reformulations of Complementarity Problems

We consider two merit functions which can be used for solving the nonlinear complementarity problem via nonnegatively constrained minimization. One of the functions is the restricted implicit Lagrangian (Refs. 1-3), and the other appears to be new. We study the conditions under which a stationary point of the minimization problem is guaranteed to be a solution of the underlying complementarity ...

متن کامل

Pii: S0168-9274(98)00080-4

A family of Least-Change Secant-Update methods for solving nonlinear complementarity problems based on nonsmooth systems of equations is introduced. Local and superlinear convergence results for the algorithms are proved. Two different reformulations of the nonlinear complementarity problem as a nonsmooth system are compared, both from the theoretical and the practical point of view. A global a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Optimization Methods and Software

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2006