Basic Results in the Development of Sensitivity and Stability Analysis in Constrained Mathematical Programming
Title | Basic Results in the Development of Sensitivity and Stability Analysis in Constrained Mathematical Programming PDF eBook |
Author | Anthony V. Fiacco |
Publisher | |
Pages | 51 |
Release | 1979 |
Genre | Mathematical optimization |
ISBN |
For large classes of mathematical programming problems, a detailed technical survey is given of key developments in sensitivity and stability analysis results, i.e., results characterizing the relationship between the optimal value function or a solution set and problem perturbations. The emphasis is on finite dimensional nonlinear problems with deterministic parametric perturbations. Precise assumptions and conclusions of key results are given in the more than 30 theorems that are stated. Some effort has been made to unify the notation and terminology and to place the results in perspective. Directions of future research and applications are indicated. Finally, an extensive bibliography is included. The paper is motivated by a desire to unify into one body of theory the many penetrating results that are now known in this crucially important area. (Author).
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
Title | Introduction to Sensitivity and Stability Analysis in Nonlinear Programming PDF eBook |
Author | Fiacco |
Publisher | Academic Press |
Pages | 381 |
Release | 1983-11-02 |
Genre | Computers |
ISBN | 0080956718 |
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
Mathematical Programming with Data Perturbations II, Second Edition
Title | Mathematical Programming with Data Perturbations II, Second Edition PDF eBook |
Author | Fiacco |
Publisher | CRC Press |
Pages | 174 |
Release | 2020-09-24 |
Genre | Mathematics |
ISBN | 1000153436 |
This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.
Numerical Methods in Sensitivity Analysis and Shape Optimization
Title | Numerical Methods in Sensitivity Analysis and Shape Optimization PDF eBook |
Author | Emmanuel Laporte |
Publisher | Springer Science & Business Media |
Pages | 202 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 1461200695 |
Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Sensitivity, Stability, and Parametric Analysis
Title | Sensitivity, Stability, and Parametric Analysis PDF eBook |
Author | Anthony V. Fiacco |
Publisher | |
Pages | 254 |
Release | 1984 |
Genre | Programming (Mathematics). |
ISBN |
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 892 |
Release | 1994 |
Genre | Aeronautics |
ISBN |
Research in Progress
Title | Research in Progress PDF eBook |
Author | |
Publisher | |
Pages | 146 |
Release | |
Genre | Military research |
ISBN |