Nonessential objective functions in linear multiobjective optimization problems
Agnieszka Malinowska (2006)
Control and Cybernetics
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Agnieszka Malinowska (2006)
Control and Cybernetics
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Jens Clausen, Jakob Krarup (1995)
The Yugoslav Journal of Operations Research
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Moshe Sniedovich, Stefan Voß (2006)
Control and Cybernetics
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Tadeusz Antczak (2009)
Applications of Mathematics
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A new approach for obtaining the second order sufficient conditions for nonlinear mathematical programming problems which makes use of second order derivative is presented. In the so-called second order -approximation method, an optimization problem associated with the original nonlinear programming problem is constructed that involves a second order -approximation of both the objective function and the constraint function constituting the original problem. The equivalence between...
Petr Fiala (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Mathematical programming under multiple objectives has emerged as a powerful tool to assist in the process of searching for decisions which best satisfy a multitude of conflicting objectives. In multiobjective linear programming problems it is usually impossible to optimize all objectives in a given system. Trade-offs are properties of inadequately designed system a thus can be eliminated through designing better one. Multiobjective De Novo linear programming is problem for designing...
Stefan Janaqi, Jorge Aguilera, Meriam Chèbre (2013)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we present a robust real-time optimization method for the online linear oil blending process. The blending process consists in determining the optimal mix of components so that the final product satisfies a set of specifications. We examine different sources of uncertainty inherent to the blending process and show how to address this uncertainty applying the Robust Optimization techniques. The polytopal structure of our problem permits a simplified robust approach. Our...
John Sylva, Alejandro Crema (2008)
RAIRO - Operations Research
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An algorithm for enumerating all nondominated vectors of multiple objective integer linear programs is presented. The method tests different regions where candidates can be found using an auxiliary binary problem for tracking the regions already explored. An experimental comparision with our previous efforts shows the method has relatively good time performance.
Yi-Chih Hsieh (2002)
The Yugoslav Journal of Operations Research
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