On a functional equation of Bellman in the theory of dynamic programming.
Wolfgang Walter (1976)
Aequationes mathematicae
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Wolfgang Walter (1976)
Aequationes mathematicae
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Sahidul Islam (2010)
The Yugoslav Journal of Operations Research
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(2006)
Control and Cybernetics
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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...
A. Nowak (1977)
Colloquium Mathematicae
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A. Nowak (1979)
Applicationes Mathematicae
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(2006)
Control and Cybernetics
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Moshe Sniedovich, Art Lew (2006)
Control and Cybernetics
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Peter Kardos (1980)
Aequationes mathematicae
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Jérôme Renault (2011)
Journal of the European Mathematical Society
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We consider dynamic programming problems with a large time horizon, and give sufficient conditions for the existence of the uniform value. As a consequence, we obtain an existence result when the state space is precompact, payoffs are uniformly continuous and the transition correspondence is non expansive. In the same spirit, we give an existence result for the limit value. We also apply our results to Markov decision processes and obtain a few generalizations of existing results. ...
Majeed Heydari, Mohammad Kazem Sayadi, Kamran Shahanaghi (2010)
RAIRO - Operations Research
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The VIKOR method was introduced as a Multi-Attribute Decision Making (MADM) method to solve discrete decision-making problems with incommensurable and conflicting criteria. This method focuses on ranking and selecting from a set of alternatives based on the particular measure of “closeness” to the “ideal” solution. The multi-criteria measure for compromise ranking is developed from the – metric used as an aggregating function in a compromise programming method. In this paper, the...