报告主题:Scenario decomposition method for two stage stochastic programming with convex risk measures
时间:2023年12月8日13:00-13:45
地点:上川路校区二教105/腾讯会议 会议号:984 1292 8754 密码:6666
报告人:俞昊东
报告内容简介:
Stochastic programming focuses on mathematical programming problems involving random parameters. During the past several decades, this area has undergone major advances. In this talk, I will first make a brief introduction on this area, including the models, algorithms and some theoretical aspects.
In the second part, we focus on a two-stage convex stochastic program model, which only requires the involved risk measure to be convex and monotonic. We propose a scenario decomposition framework for this problem. The scenario decomposition is realized through a subgradient-incremental constraint projection technique. The global and local convergence analysis is established under mild conditions. Numerical results of a multi-product assembly model are reported to demonstrate the effectiveness of the proposed method. Finally, I list some issues worthy to be studied in future work.
主讲人简介:
俞昊东,上海立信会计金融学院统计与数学学院副教授。2011年毕业于同济大学数学系,获理学博士学位。2015年澳大利亚科廷大学访问学者。中国运筹学会会员。研究方向包括:统计与随机优化、变分不等式与互补问题等。在Comput Optim Appl,J. Appl. Math. Comput等重要刊物上发表论文二十余篇。主持并完成国家自然科学基金青年项目一项。