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,...
Linear optimization with multiple equitable criteria
Michael M. Kostreva, Wodzimierz Ogryczak (2010)
RAIRO - Operations Research
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The standard multiple criteria optimization starts with an assumption that the criteria are incomparable. However, there are many applications in which the criteria express ideas of allocation of resources meant to achieve some equitable distribution. This paper focuses on solving linear multiple criteria optimization problems with uniform criteria treated in an equitable way. An axiomatic definition of equitable efficiency is introduced as an refinement of Pareto-optimality. Various...