<p>Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives. No
Robustness Analysis in Decision Aiding, Optimization, and Analytics
β Scribed by Michael Doumpos, Constantin Zopounidis, Evangelos Grigoroudis (eds.)
- Publisher
- Springer International Publishing
- Year
- 2016
- Tongue
- English
- Leaves
- 337
- Series
- International Series in Operations Research & Management Science 241
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book provides a broad coverage of the recent advances in robustness analysis in decision aiding, optimization, and analytics. It offers a comprehensive illustration of the challenges that robustness raises in different operations research and management science (OR/MS) contexts and the methodologies proposed from multiple perspectives. Aside from covering recent methodological developments, this volume also features applications of robust techniques in engineering and management, thus illustrating the robustness issues raised in real-world problems and their resolution within advances in OR/MS methodologies.
Robustness analysis seeks to address issues by promoting solutions, which are acceptable under a wide set of hypotheses, assumptions and estimates. In OR/MS, robustness has been mostly viewed in the context of optimization under uncertainty. Several scholars, however, have emphasized the multiple facets of robustness analysis in a broader OR/MS perspective that goes beyond the traditional framework, seeking to cover the decision support nature of OR/MS methodologies as well. As new challenges emerge in a βbig-data'β era, where the information volume, speed of flow, and complexity increase rapidly, and analytics play a fundamental role for strategic and operational decision-making at a global level, robustness issues such as the ones covered in this book become more relevant than ever for providing sound decision support through more powerful analytic tools.
β¦ Table of Contents
Front Matter....Pages i-xxi
SMAA in Robustness Analysis....Pages 1-20
Data-Driven Robustness Analysis for Multicriteria Classification Problems Using Preference Disaggregation Approaches....Pages 21-37
Robustness for Adversarial Risk Analysis....Pages 39-58
From Statistical Decision Theory to Robust Optimization: A Maximin Perspective on Robust Decision-Making....Pages 59-87
The State of Robust Optimization....Pages 89-112
Robust Discrete Optimization Under Discrete and Interval Uncertainty: A Survey....Pages 113-143
Performance Analysis in Robust Optimization....Pages 145-170
Robust-Soft Solutions in Linear Optimization Problems with Fuzzy Parameters....Pages 171-190
Robust Machine Scheduling Based on Group of Permutable Jobs....Pages 191-220
How Robust is a Robust Policy? Comparing Alternative Robustness Metrics for Robust Decision-Making....Pages 221-237
Developing Robust Climate Policies: A Fuzzy Cognitive Map Approach....Pages 239-263
Robust Optimization Approaches to Single Period Portfolio Allocation Problem....Pages 265-283
Portfolio Optimization with Second-Order Stochastic Dominance Constraints and Portfolios Dominating Indices....Pages 285-298
Robust DEA Approaches to Performance Evaluation of Olive Oil Production Under Uncertainty....Pages 299-318
Back Matter....Pages 319-321
β¦ Subjects
Operation Research/Decision Theory;Operations Research, Management Science
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