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adjunct instructor
 Diplom Institute of Technology Munich (Germany) 1954, Ph.D. Munich (Germany) 1963; Physics and Astronomy
, 1983
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M.J.: Fuzzygenetic decision optimization for optimization of complex stochastic systems
 In: Proceedings 5th Online World Conference on Soft Computing in Industrial Applications. (2000
"... multiobjective optimization on complex stochastic systems. A stochastic simulation model estimates the results of parameter settings for the system. A fuzzy ordinal preference model aggregates these results into a single fitness value for the input parameter set. A genetic algorithm uses this fitne ..."
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multiobjective optimization on complex stochastic systems. A stochastic simulation model estimates the results of parameter settings for the system. A fuzzy ordinal preference model aggregates these results into a single fitness value for the input parameter set. A genetic algorithm uses this fitness value to search for a population of high performance parameter sets which achieve the modeler’s objectives. In a tactical planning experiment, FuzzyGenetic Decision Optimization enabled a human planner to develop a significantly better plan than he developed without automated assistance. 1
Quantitative Literacy ∗
"... This paper offers an alternative curriculum for high school mathematics. It proposes replacing the AlgebraGeometryAlgebra rush to calculus model with one which focuses on improving student problemsolving skills and general quantitative literacy skills while reinforcing basic manipulative skills. ..."
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This paper offers an alternative curriculum for high school mathematics. It proposes replacing the AlgebraGeometryAlgebra rush to calculus model with one which focuses on improving student problemsolving skills and general quantitative literacy skills while reinforcing basic manipulative skills. Most of these goals are gained by expanding the current singleyear algebraone course into two years. The model proposes moving “learning to write proofs ” from the traditional geometry course into a separate discrete mathematics course. It requires statistics for every student, and requires a seniorlevel modeling course for every collegegoing student. In addition, the proposed model creates opportunities for students to move at their own pace through the program by organizing courses in semester units rather than yearlong units.
Early Pattern Classification Using Partial Pattern Matching
"... The discovery of patterns within timeseries energy consumption data is important when attempting to detect anomalous energy usage patterns early in the day, when changes to behavior can still affect the day’s usage. This paper proposes a technique in which data clustering techniques are used to dis ..."
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The discovery of patterns within timeseries energy consumption data is important when attempting to detect anomalous energy usage patterns early in the day, when changes to behavior can still affect the day’s usage. This paper proposes a technique in which data clustering techniques are used to discover patterns in energy consumption. These patterns are then used to perform early classification of a day’s usage for the purposes of detecting anomalous data. The study indicates that a basic partial pattern matching technique may be used to perform early classification with a high degree of success.
Unclassified SECURITY CLASSIFICATION OF THIS PAGE REPORT DOCUMENTATION PAGE la. REPORT SECURITY CLASSIFICATION lb RESTRICTIVE MARKINGS
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A Computational Method for the KarushKuhn Tucker Test of Convexity of Univariate Observations and Certain Economic Applications
"... Abstract The problem of convexity runs deeply in economic theory. For example, increasing returns or upward slopes (convexity) and diminishing returns or downward slopes (concavity) of certain supply, demand, production and utility relations are often assumed in economics. Quite frequently, however ..."
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Abstract The problem of convexity runs deeply in economic theory. For example, increasing returns or upward slopes (convexity) and diminishing returns or downward slopes (concavity) of certain supply, demand, production and utility relations are often assumed in economics. Quite frequently, however, the observations have lost convexity (or concavity) due to errors of the measuring process. We derive the KarushKuhnTucker test statistic of convexity, when the convex estimator of the data minimizes the sum of squares of residuals subject to the assumption of nondecreasing returns. Testing convexity is a linear regression problem with linear inequality constraints on the regression coefficients, so generally the work of Gouriéroux, Holly and Monfort (1982) as well as Hartigan (1967) apply. Convex estimation is a highly structured quadratic programming calculation that is solved very efficiently by the Demetriou and Powell (1991) algorithm. Certain applications that test the convexity assumption of real economic data are considered, the results are briefly analyzed and the interpretation capability of the test is demonstrated. Some numerical results illustrate the computation and present the efficacy of the test in small, medium and large data sets. They suggest that the test is suitable when the number of observations is very large. Index terms CobbDouglas, convexity, concavity, data fitting, diminishing return, divided difference, Gini coefficient, infant mortality, least squares, money demand, quadratic programming, statistical test I.
The KarushKuhnTucker Test of Convexity of Univariate Observations and Certain Economic Applications
, 2007
"... Abstract The problem of convexity runs deeply in economic theory. For example, increasing returns or upward slopes (convexity) and diminishing returns or downward slopes (concavity) of certain supply, demand, production and utility relations are often assumed in economics. Quite frequently, however ..."
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Abstract The problem of convexity runs deeply in economic theory. For example, increasing returns or upward slopes (convexity) and diminishing returns or downward slopes (concavity) of certain supply, demand, production and utility relations are often assumed in economics. Quite frequently, however, the observations have lost convexity (or concavity) due to errors of the measuring process. We derive the KarushKuhnTucker test statistic of convexity, when the convex estimator of the data minimizes the sum of squares of residuals subject to the assumption of nondecreasing returns. Testing convexity is a linear regression problem with linear inequality constraints on the regression coefficients, so generally the work of Gouriéroux, Holly and Monfort (1982) as well as Hartigan (1967) apply. Convex estimation is a highly structured quadratic programming calculation that is solved very efficiently by the Demetriou and Powell (1991) algorithm. Certain applications that test the convexity assumption of real economic data are considered, the results are briefly analyzed and the interpretation capability of the test is demonstrated. Index terms CobbDouglas, convexity, concavity, data fitting, diminishing return, divided difference, Gini coefficient, infant mortality, least squares, money demand, quadratic programming, statistical test I.
MATHEMATICAL MODELING OF CONTROL DYNAMICAL SYSTEMS
, 708
"... Abstract. In this article the process of constructing a model is carefully considered and presented in full details. Flow diagrams and word equations are constructed both to aid in the model building process and to develop the mathematical equations. To illustrate the general material we propose the ..."
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Abstract. In this article the process of constructing a model is carefully considered and presented in full details. Flow diagrams and word equations are constructed both to aid in the model building process and to develop the mathematical equations. To illustrate the general material we propose the simple shell model to describe the focusing of cool atomic beam interacting with openloop modulated optical field. This model can be apply to form efficient splitting effect in momentum space.
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"... 19 Abstract (continue on reverse if necessary and identify by block number This thesis is a tutorial for Command, Control, and Communications (C3) students and synthesizes the essence of electronic communications systems and related frequency spectrums into an integrated set of ..."
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19 Abstract (continue on reverse if necessary and identify by block number This thesis is a tutorial for Command, Control, and Communications (C3) students and synthesizes the essence of electronic communications systems and related frequency spectrums into an integrated set of