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Optimization Techniques for Problem Solving in Uncertainty

Author : Tilahun, Surafel Luleseged

Publisher : IGI Global

Page : 327 pages

File Size : 34,5 MB

Release : 2018-06-22

Category : Computers

ISBN : 1522550925

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Book Description

When it comes to optimization techniques, in some cases, the available information from real models may not be enough to construct either a probability distribution or a membership function for problem solving. In such cases, there are various theories that can be used to quantify the uncertain aspects. Optimization Techniques for Problem Solving in Uncertainty is a scholarly reference resource that looks at uncertain aspects involved in different disciplines and applications. Featuring coverage on a wide range of topics including uncertain preference, fuzzy multilevel programming, and metaheuristic applications, this book is geared towards engineers, managers, researchers, and post-graduate students seeking emerging research in the field of optimization.



Optimization And Anti-optimization Of Structures Under Uncertainty

Author : Isaac E Elishakoff

Publisher : World Scientific

Page : 425 pages

File Size : 47,41 MB

Release : 2010-03-08

Category : Technology & Engineering

ISBN : 190897818X

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Book Description

The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering./a



Robust Optimization

Author : Aharon Ben-Tal

Publisher : Princeton University Press

Page : 565 pages

File Size : 41,92 MB

Release : 2009-08-10

Category : Mathematics

ISBN : 1400831059

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Book Description

Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.



Handbook of Smart Cities

Author : Juan Carlos Augusto

Publisher : Springer

Page : 1697 pages

File Size : 25,27 MB

Release : 2021-07-17

Category : Computers

ISBN : 9783030696979

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Book Description

This Handbook presents a comprehensive and rigorous overview of the state-of-the-art on Smart Cities. It provides the reader with an authoritative, exhaustive one-stop reference on how the field has evolved and where the current and future challenges lie. From the foundations to the many overlapping dimensions (human, energy, technology, data, institutions, ethics etc.), each chapter is written by international experts and amply illustrated with figures and tables with an emphasis on current research. The Handbook is an invaluable desk reference for researchers in a wide variety of fields, not only smart cities specialists but also by scientists and policy-makers in related disciplines that are deeply influenced by the emergence of intelligent cities. It should also serve as a key resource for graduate students and young researchers entering the area, and for instructors who teach courses on these subjects. The handbook is also of interest to industry and business innovators.



Optimization Techniques and Associated Applications

Author : Sandeep Singh

Publisher : CRC Press

Page : 189 pages

File Size : 30,52 MB

Release : 2024-11-13

Category : Technology & Engineering

ISBN : 1040152228

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Book Description

Currently, the techniques of operation research are widely used in every aspect of day-to-day life. This book discusses a variety of problems that arise in various businesses and develops mathematical theories as well as technology answers to solve them from an industry perspective. Optimization Techniques and Associated Applications incorporates cutting-edge methods for locating early workable answers to an optimization challenge and acts as a road map for creating a catastrophe management paradigm that is sustainable. This book offers numerical methods for resolving mathematical issues that can be found in numerous sectors and includes specific case studies of actual industrial optimization applications. The uncertainty that arises in various businesses is explored and new and recently developed techniques are discussed. Because this book primarily focuses on operations research and solutions to the challenges across a variety of disciplines, the audience is expansive and can include professionals, students, and researchers from mathematics as well as engineers from industrial engineering, computer science, information technology, mechanical, civil, electrical, petroleum, chemical, aerospace, aviation, meteorology, disaster management, and other departments.



Flexible and Generalized Uncertainty Optimization

Author : Weldon A. Lodwick

Publisher : Springer Nature

Page : 201 pages

File Size : 10,17 MB

Release : 2021-01-12

Category : Technology & Engineering

ISBN : 3030611809

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Book Description

This book presents the theory and methods of flexible and generalized uncertainty optimization. Particularly, it describes the theory of generalized uncertainty in the context of optimization modeling. The book starts with an overview of flexible and generalized uncertainty optimization. It covers uncertainties that are both associated with lack of information and are more general than stochastic theory, where well-defined distributions are assumed. Starting from families of distributions that are enclosed by upper and lower functions, the book presents construction methods for obtaining flexible and generalized uncertainty input data that can be used in a flexible and generalized uncertainty optimization model. It then describes the development of the associated optimization model in detail. Written for graduate students and professionals in the broad field of optimization and operations research, this second edition has been revised and extended to include more worked examples and a section on interval multi-objective mini-max regret theory along with its solution method.



Do Dice Play God?

Author : Ian Stewart

Publisher : Profile Books

Page : 292 pages

File Size : 25,39 MB

Release : 2019-06-06

Category : Mathematics

ISBN : 178283401X

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Book Description

Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.



Combinatorial Optimization Under Uncertainty

Author : Ritu Arora

Publisher : CRC Press

Page : 184 pages

File Size : 35,56 MB

Release : 2023-05-12

Category : Business & Economics

ISBN : 1000859851

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Book Description

This book discusses the basic ideas, underlying principles, mathematical formulations, analysis and applications of the different combinatorial problems under uncertainty and attempts to provide solutions for the same. Uncertainty influences the behaviour of the market to a great extent. Global pandemics and calamities are other factors which affect and augment unpredictability in the market. The intent of this book is to develop mathematical structures for different aspects of allocation problems depicting real life scenarios. The novel methods which are incorporated in practical scenarios under uncertain circumstances include the STAR heuristic approach, Matrix geometric method, Ranking function and Pythagorean fuzzy numbers, to name a few. Distinct problems which are considered in this book under uncertainty include scheduling, cyclic bottleneck assignment problem, bilevel transportation problem, multi-index transportation problem, retrial queuing, uncertain matrix games, optimal production evaluation of cotton in different soil and water conditions, the healthcare sector, intuitionistic fuzzy quadratic programming problem, and multi-objective optimization problem. This book may serve as a valuable reference for researchers working in the domain of optimization for solving combinatorial problems under uncertainty. The contributions of this book may further help to explore new avenues leading toward multidisciplinary research discussions.



Operation, Planning, and Analysis of Energy Storage Systems in Smart Energy Hubs

Author : Behnam Mohammadi-Ivatloo

Publisher : Springer

Page : 452 pages

File Size : 33,84 MB

Release : 2018-04-04

Category : Technology & Engineering

ISBN : 3319750976

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Book Description

This book discusses the design and scheduling of residential, industrial, and commercial energy hubs, and their integration into energy storage technologies and renewable energy sources. Each chapter provides theoretical background and application examples for specific power systems including, solar, wind, geothermal, air and hydro. Case-studies are included to provide engineers, researchers, and students with the most modern technical and intelligent approaches to solving power and energy integration problems with special attention given to the environmental and economic aspects of energy storage systems.



Applications of Nature-Inspired Computing and Optimization Techniques

Author :

Publisher : Elsevier

Page : 566 pages

File Size : 26,64 MB

Release : 2024-04-04

Category : Mathematics

ISBN : 0323957692

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Book Description

Advances in Computers, Volume 135 highlights advances in the field, with this new volume, Applications of Nature-inspired Computing and Optimization Techniques presenting interesting chapters on a variety of timely topics, including A Brief Introduction to Nature-inspired Computing, Optimization and Applications, Overview of Non-linear Interval Optimization Problems, Solving the Aircraft Landing Problem using the Bee Colony Optimization (BCO) Algorithm, Situation-based Genetic Network Programming to Solve Agent Control Problems, Small Signal Stability Enhancement of Large Interconnected Power System using Grasshopper Optimization Algorithm Tuned Power System Stabilizer, Air Quality Modelling for Smart Cities of India by Nature Inspired AI – A Sustainable Approach, and much more.Other sections cover Genetic Algorithm for the Optimization of Infectiological Parameter Values under Different Nutritional Status, A Novel Influencer Mutation Strategy for Nature-inspired Optimization Algorithms to Solve Electricity Price Forecasting Problem, Recent Trends in Human and Bio Inspired Computing: Use Case Study from Retail Perspective, Domain Knowledge Enriched Summarization of Legal Judgment Documents via Grey Wolf Optimization, and a host of other topics. - Includes algorithm specific studies that cover basic introduction and analysis of key components of algorithms, such as convergence, solution accuracy, computational costs, tuning, and control of parameters - Comprises some of the major applications of different domains - Presents application specific studies, incorporating ways of designing objective functions, solution representation, and constraint handling