Name
Title | ||
|---|---|---|
Local Smooth Representations of Parametric Semiclosed Polyhedra with Applications to Sensitivity in Piecewise Linear Programs. |
Abstract | ||
|---|---|---|
In this paper, we establish the equivalence between the half-space representation and the vertex representation of a smooth parametric semiclosed polyhedron. By virtue of the smooth representation result, we prove that the solution set of a smooth parametric piecewise linear program can be locally represented as a finite union of parametric semiclosed polyhedra generated by finite smooth functions. As consequences, we prove that the corresponding marginal function is differentiable and the solution map admits a differentiable selection. © 2012 Springer Science+Business Media, LLC. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10957-012-0089-3 | J. Optimization Theory and Applications |
Keywords | DocType | Volume |
Parametric semiclosed polyhedra,Smooth representation,Piecewise linear program,Sensitivity | Journal | 155 |
Issue | ISSN | Citations |
3 | 15732878 | 1 |
PageRank | References | Authors |
0.37 | 13 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ya-Ping Fang | 1 | 174 | 23.66 |
| Nan-Jing Huang | 2 | 438 | 70.72 |
| Xiaoqi Yang | 3 | 126 | 20.85 |