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Title: Smooth representations of optimal solution sets of piecewise linear parametric multiobjective programs
Authors: Fang, YP
Yang, XQ 
Issue Date: 2010
Publisher: Springer
Source: In RS Burachik & JC Yao (Eds.), Variational analysis and generalized differentiation in optimization and control : in honor of Boris S. Mordukhovich, p. 163-176. New York: Springer, 2010 How to cite?
Abstract: 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.
ISBN: 9781441904379 (electronic bk.)
9781441904362 (print)
DOI: 10.1007/978-1-4419-0437-9_8
Appears in Collections:Book Chapter

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