Properties of Expected Residual Minimization Model for a Class of Stochastic Complementarity Problems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Expected residual minimization (ERM) model which minimizes an expected residual function defined by an NCP function has been studied in the literature for solving stochastic complementarity problems.
In this paper, we first give the definitions of stochastic P-function, stochastic P0-function, and stochastic uniformly P-function.
Furthermore, the conditions such that the function is a stochastic PP0-function are considered.
We then study the boundedness of solution set and global error bounds of the expected residual functions defined by the “Fischer-Burmeister” (FB) function and “min” function.
The conclusion indicates that solutions of the ERM model are robust in the sense that they may have a minimum sensitivity with respect to random parameter variations in stochastic complementarity problems.
On the other hand, we employ quasi-Monte Carlo methods and derivative-free methods to solve ERM model.
American Psychological Association (APA)
Luo, Mei-Ju& Lu, Yuan. 2013. Properties of Expected Residual Minimization Model for a Class of Stochastic Complementarity Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-476410
Modern Language Association (MLA)
Luo, Mei-Ju& Lu, Yuan. Properties of Expected Residual Minimization Model for a Class of Stochastic Complementarity Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-476410
American Medical Association (AMA)
Luo, Mei-Ju& Lu, Yuan. Properties of Expected Residual Minimization Model for a Class of Stochastic Complementarity Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-476410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476410