An exact penalty approach for mathematical programs with equilibrium constraints.

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 9, Issue 8

Abstract

This paper presents an exact penalty approach to solve the mathematical problems with equilibrium constraints (MPECs). This work is based on the smoothing functions introduced in [3] but it does not need any complicate updating rule for the smoothing or penalty parameters. Some numerical academic experiments are carried out to show the efficiency and robustness of this new approach. Two generic applications are also considered: the binary quadratic programs and simple number partitioning problems.

Authors and Affiliations

Lina Abdallah, Mounir Haddou

Keywords

Related Articles

Basis of Hecke algebras - associated to Coxeter groups - via matrices of inversion for permutations

Applying the matrices of inversion for permutations, we show that every element of S_{n} associates a unique canonical word in the Hecke algebra H_{n-1}(z). That provides an effective and simple algorithm for counting a...

A note on solvability of finite groups

Let G be a finite group. A subgroup H of G is said to be c-normal in G if there exists a normal subgroup K of G such that G = HK and H K -<HG, where HG is the largest normal subgroup of G contained in H. In this...

Bayesian Rule of Multiple Hypothesis testing: Past and Present

The era of emerging mathematical techniques towards Hypothesis Testing is between 1908 to 2003. History of hypothesis testing is based on some distinct scientists which are discussed in this article. Several of work...

Generalized Fibonacci Numbers and Music

Mathematics and music have well documented historical connections. Just as the ordinary Fibonacci numbers have links with the golden ratio, this paper considers generalized Fibonacci numbers developed from generalization...

Approximation of The Lower Operator in Nonlinear Differential Games with Non-Fixed Time

Approximate properties of the lower operator in nonlinear differential games with non-fixed time are studied.

Download PDF file
  • EP ID EP651461
  • DOI 10.24297/jam.v9i8.2255
  • Views 147
  • Downloads 0

How To Cite

Lina Abdallah, Mounir Haddou (2015). An exact penalty approach for mathematical programs with equilibrium constraints.. JOURNAL OF ADVANCES IN MATHEMATICS, 9(8), 2946-2955. https://europub.co.uk/articles/-A-651461