<p><i>Post-Optimal Analysis in Linear Semi-Infinite Optimization</i> examines the following topics in regards to linear semi-infinite optimization: modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. Linear semi-infinite optimization (LSIO)
Post-Optimal Analysis in Linear Semi-Infinite Optimization (SpringerBriefs in Optimization)
โ Scribed by Miguel Angel Goberna; Marco A. Lรณpez
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Leaves
- 128
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Post-Optimal Analysis in Linear Semi-Infinite Optimization examines the following topics in regards to linear semi-infinite optimization: modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. Linear semi-infinite optimization (LSIO) deals with linear optimization problems where the dimension of the decision space or the number of constraints is infinite. The authors compare the post-optimal analysis with alternative approaches to uncertain LSIO problems and provide readers with criteria to choose the best way to model a given uncertain LSIO problem depending on the nature and quality of the data along with the available software. This work also contains open problems which readers will find intriguing a challenging. Post-Optimal Analysis in Linear Semi-Infinite Optimization is aimed toward researchers, graduate and post-graduate students of mathematics interested in optimization, parametric optimization and related topics.
๐ SIMILAR VOLUMES
1. Preliminaries on linear semi-infinite optimization -- 2. Modeling uncertain linear semi-infinite optimization problems -- 3. Robust linear semi-infinite optimization -- 4. Sensitivity analysis -- 5. Qualitative stability analysis -- 6. Quantitative stability analysis.;Post-Optimal Analysis in Lin
In this bookthe authors takea rigorous look at the infinite-horizon discrete-time optimalcontrol theory from the viewpoint of Pontryagin s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed a
<span>The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form