Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31230
Title: Local smooth representations of parametric semiclosed polyhedra with applications to sensitivity in piecewise linear programs
Authors: Fang, YP
Huang, NJ
Yang, XQ 
Keywords: Parametric semiclosed polyhedra
Piecewise linear program
Sensitivity
Smooth representation
Issue Date: 2012
Publisher: Springer
Source: Journal of optimization theory and applications, 2012, v. 155, no. 3, p. 810-839 How to cite?
Journal: Journal of optimization theory and applications 
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.
URI: http://hdl.handle.net/10397/31230
ISSN: 0022-3239
EISSN: 1573-2878
DOI: 10.1007/s10957-012-0089-3
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

1
Last Week
0
Last month
0
Citations as of Oct 15, 2017

WEB OF SCIENCETM
Citations

1
Last Week
0
Last month
0
Citations as of Oct 13, 2017

Page view(s)

44
Last Week
4
Last month
Checked on Oct 16, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.