Pareto-Ranking Efficient Method
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Professor André A. Keller
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Abstract:
Pareto-Ranking Efficient Method
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Professor André A. Keller
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Abstract:
Let a complex two-objective optimization problem for which we would like to determine near Pareto-optimal sets in the fitness space. Consider a finite set of feasible solutions at random. Performing all pairwise comparisons based on the concept of dominance, we can find which solutions are non-dominated. This subset defines the first rank of non-dominated solutions. Eliminating these solutions, we could repeat the procedure, and thus determine the next class of non-dominated solutions, and so forth. Using the same set of initial data, our method constructs and analyzes the ordinal structure of a directed acyclic graph by using Hasse diagrams. All the ranks of solutions are deduced simultaneously and define an efficient Pareto-ranking.
Brief Biography of the Speaker:
André A. Keller (Prof.) is at present an Associated Researcher at the Laboratoire d'Informatique Fondamentale de Lille UMR 8022/ Lille Fundamental Computer Science Laboratory, a unit of the French Centre National de la Recherche Scientifique (CNRS) by the University Lille 1, Sciences and Technologies. He received a Doctorat d'Etat (Ph.D.) in Economics (Econometrics & Operations Research) from the Université de Paris Panthéon-Sorbonne in 1977. He is a Reviewer for international journals major publishers, such as Elsevier, Hindawi, Springer, World Academic, WSEAS Press. He reviewed a project for Israel Science Foundation (ISF). He taught applied mathematics (optimization techniques) and econometric modeling, microeconomics, theory of games and dynamic macroeconomic analysis. His experience centers are on building and analyzing large-scale macroeconomic systems, as well as forecasting. His research interests include high-frequency time-series modeling with application to the foreign exchange market, discrete mathematics (graph theory, combinatorial optimization), stochastic differential games and tournaments, circuit analysis, optimal control under uncertainties. (fuzzy control). His publications consisted of articles, book chapters, and books. The book chapters were on semi-reduced forms (Martinus Nijhoff, 1984), econometrics of technical change (Springer and IIASA, 1989), advanced time-series analysis (Woodhead Faulkner, 1989), stochastic differential games (Nova Science, 2009), fuzzy optimal control (InTech, 2009). One book was titled "Time-delay systems with Applications to Economic Dynamics & Control" (Lambert Academic Publishing, Saarbrücken, DE, 2010). Two other books were submitted to Bentham Science with title "Multi-objective Optimization in theory and practice: I- Classical methods and II Evolutionary Algorithms (forthcoming 2016)." He obtained Best Paper Awards, notably for American Math'10 at Harvard University, USA.