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Post-Optimal Analysis in Linear Semi-Infinite Optimization

Part of the SpringerBriefs in Optimization Book Series

DOI: 10.1007/978-1-4899-8044-1

ISBN: 978-1-4899-8043-4

Publisher: Springer New York - Springer Journals

Dec 10, 2013

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Chapter 1Preliminaries on Linear Semi-infinite Optimization

Goberna, Miguel A.; López, Marco A.

Pages: 1 –22

[Ordinary (or finite) linear optimization, linear infinite optimization, and linear semi-infinite optimization (LO, LIO, and LSIO in short) deal with linear optimization problems, where the dimension of the decision space and the number of constraints are both finite, both infinite, and exactly...
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Chapter 2Modeling Uncertain Linear Semi-infinite Optimization Problems

Goberna, Miguel A.; López, Marco A.

Pages: 23 –37

[In most LSIO applications part of the data, if not all of them, are uncertain as a consequence of error measurements or estimations. This uncertainty is inherent to the data in fields as environmental engineering, telecommunications, finance, spectrometry, health care, statistics, machine...
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Chapter 3Robust Linear Semi-infinite Optimization

Goberna, Miguel A.; López, Marco A.

Pages: 39 –49

[For many finite optimization problems, numerical methods can be compared from the complexity point of view, i.e., computing upper bounds on the number of iterations, arithmetic operations, etc., necessary to get an optimal solution, or an \documentclass[12pt]{minimal} \usepackage{amsmath}...
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Chapter 4Sensitivity Analysis

Goberna, Miguel A.; López, Marco A.

Pages: 51 –60

[From now on we assume that a consistent nominal LSIO problem]
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Chapter 5Qualitative Stability Analysis

Goberna, Miguel A.; López, Marco A.

Pages: 61 –77

[In this section we analyze the continuity properties of]
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Chapter 6Quantitative Stability Analysis

Goberna, Miguel A.; López, Marco A.

Pages: 79 –107

[The following stability properties of a set-valued mapping are of quantitative nature.]

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