Second order optimality conditions for differentiable multiobjective problems
Giancarlo Bigi, Marco Castellani (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Displaying similar documents to “Linear optimization with multiple equitable criteria”
Second order optimality conditions for differentiable multiobjective problems
Subgradient optimization and large scale programming : an application to optimum multicommodity network synthesis with security constraints
M. Minoux, J. Y. Serreault (1981)
RAIRO - Operations Research - Recherche Opérationnelle
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Nonessential objective functions in linear multiobjective optimization problems
Agnieszka Malinowska (2006)
Control and Cybernetics
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LFS functions in multi-objective programming
Luka Neralić, Sanjo Zlobec (1996)
Applications of Mathematics
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We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction,...