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|Title:||Smooth representations of optimal solution sets of piecewise linear parametric multiobjective programs|
|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.)|
|Appears in Collections:||Book Chapter|
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