Post-Optimal Analysis in Linear Semi-Infinite Optimization

Marco A. López

ISBN 10: 1489980431 / ISBN 13: 9781489980434

Editore: Springer New York, Springer US Jan 2014, 2014

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Neuware -Post-Optimal Analysis in Linear Semi-Infinite Optimizationexamines the following topicsin regards tolinear 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 providereaders withcriteria to choose the best way to model a given uncertainLSIO problem depending on the nature and quality of the data along withthe available software. Thiswork also contains open problems which readers will find intriguing a challenging. Post-Optimal Analysis in Linear Semi-Infinite Optimization is aimed towardresearchers, graduate and post-graduate students of mathematics interested in optimization, parametric optimization and related topics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch. Codice articolo 9781489980434

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Titolo: Post-Optimal Analysis in Linear ...

Casa editrice: Springer New York, Springer US Jan 2014

Data di pubblicazione: 2014

Legatura: Taschenbuch

Condizione: Neu

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Riassunto:

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.

Contenuti:

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.