TY - CHAP
T1 - Smooth representations of optimal solution sets of piecewise Linear parametric multiobjective programs
AU - Fang, Ya Ping
AU - Yang, Xiaoqi
PY - 2010/1/1
Y1 - 2010/1/1
N2 - In this chapter, we investigate the smooth representation of the (weakly) efficient solution set of a piecewise linear parametric multiobjective program. We show that if the data of a piecewise linear multiobjective program are smooth functions of a parameter then the (weakly) efficient solution set of the problem can be locally represented as a union of finitely many polyhedra whose vertices and directions are smooth functions of the parameter.
AB - In this chapter, we investigate the smooth representation of the (weakly) efficient solution set of a piecewise linear parametric multiobjective program. We show that if the data of a piecewise linear multiobjective program are smooth functions of a parameter then the (weakly) efficient solution set of the problem can be locally represented as a union of finitely many polyhedra whose vertices and directions are smooth functions of the parameter.
UR - http://www.scopus.com/inward/record.url?scp=84976478543&partnerID=8YFLogxK
U2 - 10.1007/978-1-4419-0437-9_8
DO - 10.1007/978-1-4419-0437-9_8
M3 - Chapter in an edited book (as author)
T3 - Springer Optimization and Its Applications
SP - 163
EP - 176
BT - Springer Optimization and Its Applications
ER -