计算块角Karmarkar投影及其在随机规划中的应用

Computing Block-Angular Karmarkar Projections with Applications to Stochastic Programming

Management Science · 1988
被引 104
人大 A+FT50UTD24ABS 4*

中文导读

提出一种针对块角结构线性规划(如随机线性规划)的Karmarkar算法变体,通过高效计算投影,在最坏情况下运行时间比标准算法快一个数量级,并讨论了近似和大规模问题的应用。

Abstract

We present a variant of Karmarkar's algorithm for block-angular structured linear programs, such as stochastic linear programs. By computing the projection efficiently, we give a worst-case bound on the order of the running time that can be an order of magnitude better than that of Karmarkar's standard algorithm. Further implications for approximations and very large-scale problems are given.

Karmarkar算法块角结构随机线性规划大规模优化