Estimation of Rare Event Probabilities in Complex Aerospace and Other Systems

Estimation of Rare Event Probabilities in Complex Aerospace and Other Systems
Author: Jerome Morio
Publisher: Woodhead Publishing
Total Pages: 217
Release: 2015-11-16
Genre: Technology & Engineering
ISBN: 0081001118

Download Estimation of Rare Event Probabilities in Complex Aerospace and Other Systems Book in PDF, Epub and Kindle

Rare event probability (10-4 and less) estimation has become a large area of research in the reliability engineering and system safety domains. A significant number of methods have been proposed to reduce the computation burden for the estimation of rare events from advanced sampling approaches to extreme value theory. However, it is often difficult in practice to determine which algorithm is the most adapted to a given problem.Estimation of Rare Event Probabilities in Complex Aerospace and Other Systems: A Practical Approach provides a broad up-to-date view of the current available techniques to estimate rare event probabilities described with a unified notation, a mathematical pseudocode to ease their potential implementation and finally a large spectrum of simulation results on academic and realistic use cases. Provides a broad overview of the practical approach of rare event methods. Includes algorithms that are applied to aerospace benchmark test cases Offers insight into practical tuning issues

Aerospace System Analysis and Optimization in Uncertainty

Aerospace System Analysis and Optimization in Uncertainty
Author: Loïc Brevault
Publisher: Springer Nature
Total Pages: 477
Release: 2020-08-26
Genre: Mathematics
ISBN: 3030391264

Download Aerospace System Analysis and Optimization in Uncertainty Book in PDF, Epub and Kindle

Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. Insights on a vast assortment of problems are provided, including discipline modeling, sensitivity analysis, uncertainty propagation, reliability analysis, and global multidisciplinary optimization. The extensive range of topics covered include areas of current open research. This Work is destined to become a fundamental reference for aerospace systems engineers, researchers, as well as for practitioners and engineers working in areas of optimization and uncertainty. Part I is largely comprised of fundamentals. Part II presents methodologies for single discipline problems with a review of existing uncertainty propagation, reliability analysis, and optimization techniques. Part III is dedicated to the uncertainty-based MDO and related issues. Part IV deals with three MDO related issues: the multifidelity, the multi-objective optimization and the mixed continuous/discrete optimization and Part V is devoted to test cases for aerospace vehicle design.

Introduction to Rare Event Simulation

Introduction to Rare Event Simulation
Author: James Bucklew
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475740786

Download Introduction to Rare Event Simulation Book in PDF, Epub and Kindle

This book presents a unified theory of rare event simulation and the variance reduction technique known as importance sampling from the point of view of the probabilistic theory of large deviations. It allows us to view a vast assortment of simulation problems from a unified single perspective.

Intelligent Systems and Applications

Intelligent Systems and Applications
Author: Kohei Arai
Publisher: Springer Nature
Total Pages: 897
Release: 2024-02-10
Genre: Technology & Engineering
ISBN: 3031477219

Download Intelligent Systems and Applications Book in PDF, Epub and Kindle

The book is a unique collection of studies involving intelligent systems and applications of artificial intelligence in the real world to provide solutions to most vexing problems. IntelliSys received an overwhelming 605 papers which were put under strict double-blind peer-review for their novelty, originality and exhaustive research. Finally, 227 papers were sieved and chosen to be published in the proceedings. This book is a valuable collection of all the latest research in the field of artificial intelligence and smart systems. It provides a ready-made resource to all the readers keen on gaining information regarding the latest trends in intelligent systems. It also renders a sneak peek into the future world governed by artificial intelligence.

Modeling and Optimization in Space Engineering

Modeling and Optimization in Space Engineering
Author: Giorgio Fasano
Publisher: Springer
Total Pages: 478
Release: 2019-05-10
Genre: Mathematics
ISBN: 3030105016

Download Modeling and Optimization in Space Engineering Book in PDF, Epub and Kindle

This book presents advanced case studies that address a range of important issues arising in space engineering. An overview of challenging operational scenarios is presented, with an in-depth exposition of related mathematical modeling, algorithmic and numerical solution aspects. The model development and optimization approaches discussed in the book can be extended also towards other application areas. The topics discussed illustrate current research trends and challenges in space engineering as summarized by the following list: • Next Generation Gravity Missions • Continuous-Thrust Trajectories by Evolutionary Neurocontrol • Nonparametric Importance Sampling for Launcher Stage Fallout • Dynamic System Control Dispatch • Optimal Launch Date of Interplanetary Missions • Optimal Topological Design • Evidence-Based Robust Optimization • Interplanetary Trajectory Design by Machine Learning • Real-Time Optimal Control • Optimal Finite Thrust Orbital Transfers • Planning and Scheduling of Multiple Satellite Missions • Trajectory Performance Analysis • Ascent Trajectory and Guidance Optimization • Small Satellite Attitude Determination and Control • Optimized Packings in Space Engineering • Time-Optimal Transfers of All-Electric GEO Satellites Researchers working on space engineering applications will find this work a valuable, practical source of information. Academics, graduate and post-graduate students working in aerospace, engineering, applied mathematics, operations research, and optimal control will find useful information regarding model development and solution techniques, in conjunction with real-world applications.

Assessing Risks Through the Determination of Rare Event Probabilities

Assessing Risks Through the Determination of Rare Event Probabilities
Author: Allan R. Sampson
Publisher:
Total Pages: 47
Release: 1980
Genre:
ISBN:

Download Assessing Risks Through the Determination of Rare Event Probabilities Book in PDF, Epub and Kindle

We consider the problem in risk assessment of evaluating the probability of occurrence of rare, but potentially catastrophic, events. The lack of historical data due to the sheer novelty of the event makes conventional statistical approaches inappropriate. The problem is compounded by the complex multivariate dependencies that may exist across potential event sites. In order to evaluate the likelihood of one or more such catastrophic events occuring, we provide an information theoretic model for merging a decision maker's opinion with expert judgment. Also provided is a methodology for the reconciling of conflicting expert judgments. This merging approach is invariant to the decision maker's viewpoint in the limiting case of exceptionally rare events. These methods are applied to case studies in likelihood assessment of Liquid Natural Gas tanker spills and seismic induced light water nuclear reactor meltdowns. (Author).

Basics and Trends in Sensitivity Analysis: Theory and Practice in R

Basics and Trends in Sensitivity Analysis: Theory and Practice in R
Author: Sébastien Da Veiga
Publisher: SIAM
Total Pages: 307
Release: 2021-10-14
Genre: Mathematics
ISBN: 1611976693

Download Basics and Trends in Sensitivity Analysis: Theory and Practice in R Book in PDF, Epub and Kindle

This book provides an overview of global sensitivity analysis methods and algorithms, including their theoretical basis and mathematical properties. The authors use a practical point of view and real case studies as well as numerous examples, and applications of the different approaches are illustrated throughout using R code to explain their usage and usefulness in practice. Basics and Trends in Sensitivity Analysis: Theory and Practice in R covers a lot of material, including theoretical aspects of Sobol’ indices as well as sampling-based formulas, spectral methods, and metamodel-based approaches for estimation purposes; screening techniques devoted to identifying influential and noninfluential inputs; variance-based measures when model inputs are statistically dependent (and several other approaches that go beyond variance-based sensitivity measures); and a case study in R related to a COVID-19 epidemic model where the full workflow of sensitivity analysis combining several techniques is presented. This book is intended for engineers, researchers, and undergraduate students who use complex numerical models and have an interest in sensitivity analysis techniques and is appropriate for anyone with a solid mathematical background in basic statistical and probability theories who develops and uses numerical models in all scientific and engineering domains.

Developments in Reliability Engineering

Developments in Reliability Engineering
Author: Mangey Ram
Publisher: Elsevier
Total Pages: 894
Release: 2024-08-09
Genre: Technology & Engineering
ISBN: 0443132410

Download Developments in Reliability Engineering Book in PDF, Epub and Kindle

Modern systems have become increasingly complex to design and build, while the demand for reliability and cost-effective enhancement continues. Robust international competition has further intensified the need for all designers, managers, practitioners, scientists, and engineers to ensure a level of reliability of their products and processes before release at the lowest cost. Developments in Reliability Engineering equips its audience with the necessary information to keep up with the latest original research and state-of-the-art advances in reliability engineering. The volume offers an excursus from historical theories and methods to the present-world practical utility of these concepts with worked-out examples. Guides readers through reliability topics from an historical perspective to new research results, advancements, and latest developments Draws on the authors’ experience of reliability analysis in a range of industries and disciplines, showing the need for reliability from the product design stage right through to aftercare Provides methods throughout, making this title a good source of actionable information

Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments

Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments
Author:
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2021-03-05
Genre: Science
ISBN: 1119817625

Download Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments Book in PDF, Epub and Kindle

Considering the uncertainties in mechanical engineering in order to improve the performance of future products or systems is becoming a competitive advantage, sometimes even a necessity, when seeking to guarantee an increasingly high safety requirement. Mechanical Engineering in Uncertainties deals with modeling, quantification and propagation of uncertainties. It also examines how to take into account uncertainties through reliability analyses and optimization under uncertainty. The spectrum of the methods presented ranges from classical approaches to more recent developments and advanced methods. The methodologies are illustrated by concrete examples in various fields of mechanics (civil engineering, mechanical engineering and fluid mechanics). This book is intended for both (young) researchers and engineers interested in the treatment of uncertainties in mechanical engineering.