导师基本信息

姓名：刘永朝职称：讲师
性别：男联系电话：**
出生日期：1982/7/17所在专业：应用数学
硕士导师：是Email：googleliu@dlmu.edu.cn
博士导师：否个人主页：

研究方向：随机优化，鲁棒优化，均衡问题
简介：
论文及著作：现发表SCI 检索论文10篇，其中多篇发表在优化领域顶级期刊。
1.Y. Liu and H. Xu, Entropic approximation for mathematical programs with robust equilibrium constraints, SIAM Journal on Optimization, Vol. 24, pp. 933-958, 2014.
2.Y. Liu, W. R?misch and H. Xu, Quantitative stability analysis of stochastic generalized equations, SIAM Journal on Optimization, Vol. 24, pp. 467-497, 2014.
3.Y. Liu, Stability analysis of parametric generalized equations and applications, Asia-Pacific Journal of Operational Research, Vol. 30, 2013.
4.Y. Liu and H. Xu, Stability analysis of stochastic programs with second order dominance constraints, Mathematical Programming Series A, Vol. 142, pp. 435-460, 2013.
5.Y. Liu and Y. Zhang, A note on the sample average approximation method for stochastic mathematical programs with complementarity constraints, Journal of Mathematical Analysis and Applications, Vol. 393, pp. 389-396, 2012.
6.Y. Liu, H. Xu and G.H. Lin, Stability analysis of one stage stochastic mathematical programs with complementarity constraints, Journal of Optimization Theory and Applications, Vol. 152, pp. 537-555, 2012.
7.Y. Liu, H. Xu and G.H. Lin, Stability analysis of two stage stochastic mathematical programs with complementarity constraints via NLP-regularization, SIAM Journal on Optimization, Vol. 21, pp. 669-705, 2011.
8.Y. Liu, H. Xu and J.J. Ye, Penalized sample average approximation methods for stochastic mathematical programs with complementarity constraints, Mathematics of Operations Research, Vol. 36, pp. 670-694, 2011.
9.Y. Liu, J. Zhang and G.H. Lin, Stochastic mathematical programs with hybrid equilibrium constraints, Journal of Computational and Applied Mathematics, Vol. 235, pp. 3870-3882, 2011.
10.Y. Liu and G.H. Lin, Convergence analysis of a regularized sample average approximation method for stochastic mathematical programs with complementarity constraints, Asia-Pacific Journal of Operational Research, Vol. 28, pp. 755-771, 2011.

科研项目：主持国家自然科学基金2项和辽宁省自然科学基金1项：

国家自然科学基金(面上):矩不等式约束分布鲁棒优化的研究及应用， 主持（项目编号**），2016.1-2019.12

国家自然科学基金（青年）：随机广义方程相对于概率分布的稳定性分析及应用 (项目编号**），主持， 2013.1-2015.12

辽宁省自然科学基金;鲁棒均衡约束数学规划的算法及应用（项目编号**），主持， 2015.1-2016.12