Advances in Geometric Programming by Mordecai Avriel
In 1961, C. Zener, then Director of Science at Westinghouse Corpora- tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled A Mathe- matical Aid in Optimizing Engineering Design. In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a generalized polynomial, consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie- Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes- tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.-
Problems and Methods of Optimal Structural Design
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Principles of Optimal Control Theory
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Multicriteria Optimization in Engineering and in the Sciences
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Real and Functional Analysis
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Optimal Control of Distributed Nuclear Reactors
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Structural Optimization
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Control, Identification, and Input Optimization
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Applied Optimal Control Theory of Distributed Systems
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Multicriteria Decision Making and Differential Games
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Unified Plasticity for Engineering Applications
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Nonlinear Effects in Fluids and Solids
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Constrained Optimization and Image Space Analysis
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Advanced Design Problems in Aerospace Engineering
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Principles and Procedures of Numerical Analysis
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Principles of Engineering Mechanics
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Optimal Control Applications in Electric Power Systems
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Applications of Functional Analysis in Engineering
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Mathematical Principles of Mechanics and Electromagnetism
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Applied Mathematics in Aerospace Science and Engineering
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Theory and Applications of Partial Differential Equations
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Integral Transforms in Science and Engineering
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Solution Methods for Integral Equations
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Applied Probability
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Introduction to the Laplace Transform
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The Calculus of Variations and Optimal Control
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Numerical Solution of Integral Equations
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Mathematical Logic
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Dynamical Systems and Evolution Equations
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Differential Equations with Small Parameters and Relaxation Oscillations
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Topology and Maps
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Dynamic Optimization and Mathematical Economics
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Applied Mathematics
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Numerical Derivatives and Nonlinear Analysis
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Optimal Long-Term Operation of Electric Power Systems
Avriel, Mordecai: - Mordecai Avriel is Director of Analytical Development at Bank Hapoalim in Tel Aviv, Israel, and is Professor Emeritus of the Faculty of Industrial Engineering and Management at Technion - Israel Institute of Technology.
| SKU | Unavailable |
| ISBN 13 | 9781461582878 |
| ISBN 10 | 1461582873 |
| Title | Advances in Geometric Programming |
| Author | Mordecai Avriel |
| Series | Mathematical Concepts And Methods In Science And Engineering |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2012-12-27 |
| Number of pages | 460 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |