Application Of Heuristic Optimization To Groundwater Management

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Application of Heuristic Optimization to Groundwater Management

Author : Loren Shawn Matott
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (153 download)

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Book Synopsis Application of Heuristic Optimization to Groundwater Management by : Loren Shawn Matott

Download or read book Application of Heuristic Optimization to Groundwater Management written by Loren Shawn Matott and published by . This book was released on 2007 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsurface flow and contaminant transport models are often used in solving groundwater management problems. Automated optimization involving such models is becoming commonplace, and researchers are increasingly encountering problems for which standard gradient-based search algorithms are inadequate. Such cases have motivated an interest in the use of more robust, but computationally expensive, heuristic algorithms. The research reported in this dissertation advances the state-of-practice of heuristic optimization in groundwater management by applying a variety of heuristic methods to three groundwater management problems: (1) optimization of pump-and-treat containment systems, (2) optimization of multi-layered sorptive barrier systems, and (3) calibration of reactive transport models involving nitrate contamination. These studies were facilitated by the development of a new open source software package for model-independent multi-algorithm optimization, which includes special tools for calibration and model ranking and selection. Overall, the optimization studies make several important research contributions by (1) suggesting methods and guidelines for the effective selection and use of heuristic algorithms, (2) investigating techniques for reducing the computational demand associated with heuristic algorithms, (3) providing general insight into the behavior of the selected problems, (4) utilizing modeling techniques, remediation constraints, and/or parameter representations not previously applied to the selected problems, and (5) introducing a novel optimization software package to the research community.

Hydrology, Hydraulics and Water Resources Management

Author : K.L. Katsifarakis
Publisher : WIT Press
ISBN 13 : 1845646649
Total Pages : 175 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Hydrology, Hydraulics and Water Resources Management by : K.L. Katsifarakis

Download or read book Hydrology, Hydraulics and Water Resources Management written by K.L. Katsifarakis and published by WIT Press. This book was released on 2012-07-11 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: With population of our planet exceeding seven billion, funds for infrastructure works being limited worldwide and climate change affecting water resources, their optimal development and management is literally vital. This volume deals with application of some non-traditional optimization techniques to hydraulics, hydrology and water resources management and aims at helping scientists dealing with these issues to reach the best decisions. Chapter 1 is a brief introduction to optimization and its application to water resources management. Chapter 2 is dedicated to genetic algorithms. Chapter 3 focuses on applications of genetic algorithms to hydraulic networks, mainly irrigation ones. Chapter 4 is dedicated to simulated annealing. The particle swarm method (PSO) is discussed in Chapter 5. In Chapter 6 the basic concepts and features of Tabu search are presented and its coupling with other heuristic optimizers is discussed. Chapter 7 is dedicated to the Harmony Search method. Finally, Chapter 8 deals with the Outer Approximation method. This book is aimed at engineers and other scientists working on water resources management and hydraulic networks.

Nature-Inspired Methods for Metaheuristics Optimization

Author : Fouad Bennis
Publisher : Springer Nature
ISBN 13 : 3030264580
Total Pages : 503 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Nature-Inspired Methods for Metaheuristics Optimization by : Fouad Bennis

Download or read book Nature-Inspired Methods for Metaheuristics Optimization written by Fouad Bennis and published by Springer Nature. This book was released on 2020-01-17 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together a set of chapters covering recent development in optimization methods that are inspired by nature. The first group of chapters describes in detail different meta-heuristic algorithms, and shows their applicability using some test or real-world problems. The second part of the book is especially focused on advanced applications and case studies. They span different engineering fields, including mechanical, electrical and civil engineering, and earth/environmental science, and covers topics such as robotics, water management, process optimization, among others. The book covers both basic concepts and advanced issues, offering a timely introduction to nature-inspired optimization method for newcomers and students, and a source of inspiration as well as important practical insights to engineers and researchers.

Meta-heuristic and Evolutionary Algorithms for Engineering Optimization

Author : Omid Bozorg-Haddad
Publisher : John Wiley & Sons
ISBN 13 : 1119386993
Total Pages : 306 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Meta-heuristic and Evolutionary Algorithms for Engineering Optimization by : Omid Bozorg-Haddad

Download or read book Meta-heuristic and Evolutionary Algorithms for Engineering Optimization written by Omid Bozorg-Haddad and published by John Wiley & Sons. This book was released on 2017-10-09 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed review of a wide range of meta-heuristic and evolutionary algorithms in a systematic manner and how they relate to engineering optimization problems This book introduces the main metaheuristic algorithms and their applications in optimization. It describes 20 leading meta-heuristic and evolutionary algorithms and presents discussions and assessments of their performance in solving optimization problems from several fields of engineering. The book features clear and concise principles and presents detailed descriptions of leading methods such as the pattern search (PS) algorithm, the genetic algorithm (GA), the simulated annealing (SA) algorithm, the Tabu search (TS) algorithm, the ant colony optimization (ACO), and the particle swarm optimization (PSO) technique. Chapter 1 of Meta-heuristic and Evolutionary Algorithms for Engineering Optimization provides an overview of optimization and defines it by presenting examples of optimization problems in different engineering domains. Chapter 2 presents an introduction to meta-heuristic and evolutionary algorithms and links them to engineering problems. Chapters 3 to 22 are each devoted to a separate algorithm— and they each start with a brief literature review of the development of the algorithm, and its applications to engineering problems. The principles, steps, and execution of the algorithms are described in detail, and a pseudo code of the algorithm is presented, which serves as a guideline for coding the algorithm to solve specific applications. This book: Introduces state-of-the-art metaheuristic algorithms and their applications to engineering optimization; Fills a gap in the current literature by compiling and explaining the various meta-heuristic and evolutionary algorithms in a clear and systematic manner; Provides a step-by-step presentation of each algorithm and guidelines for practical implementation and coding of algorithms; Discusses and assesses the performance of metaheuristic algorithms in multiple problems from many fields of engineering; Relates optimization algorithms to engineering problems employing a unifying approach. Meta-heuristic and Evolutionary Algorithms for Engineering Optimization is a reference intended for students, engineers, researchers, and instructors in the fields of industrial engineering, operations research, optimization/mathematics, engineering optimization, and computer science. OMID BOZORG-HADDAD, PhD, is Professor in the Department of Irrigation and Reclamation Engineering at the University of Tehran, Iran. MOHAMMAD SOLGI, M.Sc., is Teacher Assistant for M.Sc. courses at the University of Tehran, Iran. HUGO A. LOÁICIGA, PhD, is Professor in the Department of Geography at the University of California, Santa Barbara, United States of America.

Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance

Author : Vasant, Pandian M.
Publisher : IGI Global
ISBN 13 : 1466620870
Total Pages : 735 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance by : Vasant, Pandian M.

Download or read book Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance written by Vasant, Pandian M. and published by IGI Global. This book was released on 2012-09-30 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization techniques have developed into a significant area concerning industrial, economics, business, and financial systems. With the development of engineering and financial systems, modern optimization has played an important role in service-centered operations and as such has attracted more attention to this field. Meta-heuristic hybrid optimization is a newly development mathematical framework based optimization technique. Designed by logicians, engineers, analysts, and many more, this technique aims to study the complexity of algorithms and problems. Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance explores the emerging study of meta-heuristics optimization algorithms and methods and their role in innovated real world practical applications. This book is a collection of research on the areas of meta-heuristics optimization algorithms in engineering, business, economics, and finance and aims to be a comprehensive reference for decision makers, managers, engineers, researchers, scientists, financiers, and economists as well as industrialists.

Metaheuristic Applications in Structures and Infrastructures

Author : Amir Hossein Gandomi
Publisher : Elsevier Inc. Chapters
ISBN 13 : 0128066245
Total Pages : 32 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Metaheuristic Applications in Structures and Infrastructures by : Amir Hossein Gandomi

Download or read book Metaheuristic Applications in Structures and Infrastructures written by Amir Hossein Gandomi and published by Elsevier Inc. Chapters. This book was released on 2013-01-31 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groundwater Optimization Handbook

Author : Richard C. Peralta
Publisher : CRC Press
ISBN 13 : 1439838062
Total Pages : 523 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Groundwater Optimization Handbook by : Richard C. Peralta

Download or read book Groundwater Optimization Handbook written by Richard C. Peralta and published by CRC Press. This book was released on 2012-04-26 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existing and impending water shortages argue for improving water quantity and quality management. Groundwater Optimization Handbook: Flow, Contaminant Transport, and Conjunctive Management helps you formulate and solve groundwater optimization problems to ensure sustainable supplies of adequate quality and quantity. It shows you how to more effectively use simulation-optimization (S-O) modeling, an economically valuable groundwater management tool that couples simulation models with mathematical optimization techniques. Written for readers of varying familiarity with groundwater hydrology and mathematical optimization, the handbook approaches complex problems realistically. Its techniques have been applied in many legal settings, with produced strategies providing up to 57% improvement over those developed without S-O modeling. These techniques supply constructible designs, planning and management strategies, and metrics for performance-based contracts. Learn how to: Recognize opportunities for applying S-O models Lead client, agency, and consultant personnel through the strategy design and adaptation process Formulate common situations as clear deterministic/stochastic and single/multiobjective mathematical optimization problems Distinguish between problem nonlinearities resulting from physical system characteristics versus management goals Create an S-O model appropriate for your specific needs or select an existing transferrable model Develop acceptable feasible solutions and compute optimal solutions Quantify tradeoffs between multiple objectives Evaluate and adapt a selected optimal strategy, or use it as a metric for comparison Drawing on the author’s numerous real-world designs and more than 30 years of research, consulting, and teaching experience, this practical handbook supplies design procedures, detailed flowcharts, solved problems, lessons learned, and diverse applications. It guides you through the maze of multiple objectives, constraints, and uncertainty to calculate the best strategies for managing flow, contamination, and conjunctive use of groundwater and surface water. Ancillary materials are available from the Downloads tab on the book page at www.crcpress.com.

Metaheuristic Applications in Structures and Infrastructures

Author : Xin-She Yang
Publisher : Newnes
ISBN 13 : 0123983797
Total Pages : 577 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Metaheuristic Applications in Structures and Infrastructures by : Xin-She Yang

Download or read book Metaheuristic Applications in Structures and Infrastructures written by Xin-She Yang and published by Newnes. This book was released on 2013-01-31 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to an ever-decreasing supply in raw materials and stringent constraints on conventional energy sources, demand for lightweight, efficient and low-cost structures has become crucially important in modern engineering design. This requires engineers to search for optimal and robust design options to address design problems that are commonly large in scale and highly nonlinear, making finding solutions challenging. In the past two decades, metaheuristic algorithms have shown promising power, efficiency and versatility in solving these difficult optimization problems. This book examines the latest developments of metaheuristics and their applications in structural engineering, construction engineering and earthquake engineering, offering practical case studies as examples to demonstrate real-world applications. Topics cover a range of areas within engineering, including big bang-big crunch approach, genetic algorithms, genetic programming, harmony search, swarm intelligence and some other metaheuristic methods. Case studies include structural identification, vibration analysis and control, topology optimization, transport infrastructure design, design of reinforced concrete, performance-based design of structures and smart pavement management. With its wide range of everyday problems and solutions, Metaheursitic Applications in Structures and Infrastructures can serve as a supplementary text for design courses and computation in engineering as well as a reference for researchers and engineers in metaheuristics, optimization in civil engineering and computational intelligence. Review of the latest development of metaheuristics in engineering. Detailed algorithm descriptions with focus on practical implementation. Uses practical case studies as examples and applications.

Computationally Efficient Optimization of Groundwater Remediation Using Derivative-based and Heuristic Algorithms

Author : Raju Marcus Rohde
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Computationally Efficient Optimization of Groundwater Remediation Using Derivative-based and Heuristic Algorithms by : Raju Marcus Rohde

Download or read book Computationally Efficient Optimization of Groundwater Remediation Using Derivative-based and Heuristic Algorithms written by Raju Marcus Rohde and published by . This book was released on 2002 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Metaheuristics in Water, Geotechnical and Transport Engineering

Author : Xin-She Yang
Publisher : Newnes
ISBN 13 : 0123982960
Total Pages : 503 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Metaheuristics in Water, Geotechnical and Transport Engineering by : Xin-She Yang

Download or read book Metaheuristics in Water, Geotechnical and Transport Engineering written by Xin-She Yang and published by Newnes. This book was released on 2012-09 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to an ever-decreasing supply in raw materials and stringent constraints on conventional energy sources, demand for lightweight, efficient and low cost structures has become crucially important in modern engineering design. This requires engineers to search for optimal and robust design options to address design problems that are often large in scale and highly nonlinear, making finding solutions challenging. In the past two decades, metaheuristic algorithms have shown promising power, efficiency and versatility in solving these difficult optimization problems. This book examines the latest developments of metaheuristics and their applications in water, geotechnical and transport engineering offering practical case studies as examples to demonstrate real world applications. Topics cover a range of areas within engineering, including reviews of optimization algorithms, artificial intelligence, cuckoo search, genetic programming, neural networks, multivariate adaptive regression, swarm intelligence, genetic algorithms, ant colony optimization, evolutionary multiobjective optimization with diverse applications in engineering such as behavior of materials, geotechnical design, flood control, water distribution and signal networks. This book can serve as a supplementary text for design courses and computation in engineering as well as a reference for researchers and engineers in metaheursitics, optimization in civil engineering and computational intelligence. Provides detailed descriptions of all major metaheuristic algorithms with a focus on practical implementation Develops new hybrid and advanced methods suitable for civil engineering problems at all levels Appropriate for researchers and advanced students to help to develop their work

Optimal Conjunctive Management of Coupled Surface Water and Groundwater Systems Using Gradient Dynamic Programming

Author : Charles Russell Philbrick (Jr.)
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (387 download)

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Book Synopsis Optimal Conjunctive Management of Coupled Surface Water and Groundwater Systems Using Gradient Dynamic Programming by : Charles Russell Philbrick (Jr.)

Download or read book Optimal Conjunctive Management of Coupled Surface Water and Groundwater Systems Using Gradient Dynamic Programming written by Charles Russell Philbrick (Jr.) and published by . This book was released on 1993 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents an analytic procedure to derive rules for managing a conjunctive use system. In this thesis, system management refers to the specification of optimal controls: decisions regarding the release and allocation of water. The procedure is applied to a proposed conjunctive use system of practical interest, where the facilities have predetermined characteristics and where control decisions are affected by uncertain autocorrelated inputs. Optimal decisions are determined by applying the optimization method of gradient dynamic programming to a numerical model of the conjunctive use system. The resulting optimal decisions demonstrate that application of the analytic procedure can greatly improve the management of a conjunctive use system. These decisions are significantly more efficient than those that result from application of heuristic rules. Also, the analytic procedure incorporates the effect of autocorrelation, and the resulting optimal decisions demonstrate that autocorrelation is important in the control of conjunctive use systems because of the different capabilities and constraints that surface reservoir storage and aquifer storage present.

Groundwater Hydrology

Author : David Keith Todd
Publisher : John Wiley & Sons
ISBN 13 : 0471059374
Total Pages : 663 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Groundwater Hydrology by : David Keith Todd

Download or read book Groundwater Hydrology written by David Keith Todd and published by John Wiley & Sons. This book was released on 2004-08-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, up-to-date guide to groundwater science and technology Our understanding of the occurrence and movement of water under the Earth's surface is constantly advancing, with new models, improved drilling equipment, new research, and refined techniques for managing this vital resource. Responding to these tremendous changes, David Todd and new coauthor Larry Mays equip readers with a thorough and up-to-date grounding in the science and technology of groundwater hydrology. Groundwater Hydrology, Third Edition offers a unified presentation of the field, treating fundamental principles, methods, and problems as a whole. With this new edition, you'll be able to stay current with recent developments in groundwater hydrology, learn modern modeling methods, and apply what you've learned to realistic situations. Highlights of the Third Edition * New example problems and case studies, as well as problem sets at the end of each chapter. * A special focus on modern groundwater modeling methods, including a new chapter on modeling (Chapter 9), which describes the U. S. Geological Survey MODFLOW model. * Over 300 new figures and photos. * Both SI and U.S. customary units in the example problems. * Expanded coverage of groundwater contamination by chemicals. * New references at the end of each chapter, which provide sources for research and graduate study. Student and instructor resources for this text are available on the book's website at www.wiley.com/college/todd.

Groundwater Assessment, Modeling, and Management

Author : M. Thangarajan
Publisher : CRC Press
ISBN 13 : 1315352036
Total Pages : 858 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Groundwater Assessment, Modeling, and Management by : M. Thangarajan

Download or read book Groundwater Assessment, Modeling, and Management written by M. Thangarajan and published by CRC Press. This book was released on 2016-09-15 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your Guide to Effective Groundwater Management Groundwater Assessment, Modeling, and Management discusses a variety of groundwater problems and outlines the solutions needed to sustain surface and ground water resources on a global scale. Contributors from around the world lend their expertise and provide an international perspective on groundwater management. They address the management of groundwater resources and pollution, waste water treatment methods, and the impact of climate change on groundwater and water availability (specifically in arid and semi-arid regions such as India and Africa). Incorporating management with science and modeling, the book covers all areas of groundwater resource assessment, modeling, and management, and combines hands-on applications with relevant theory. For Water Resource Managers and Decision Makers The book describes techniques for the assessment of groundwater potential, pollution, prevention, and remedial measures, and includes a new approach for groundwater modeling based on connections (network theory). Approximately 30 case studies and six hypothetical studies are introduced reflecting a range of themes that include: groundwater basics and the derivation of groundwater flow equations, exploration and assessment, aquifer parameterization, augmentation of aquifer, water and environment, water and agriculture, the role of models and their application, and water management policies and issues. The book describes remote sensing (RS) applications, geographical information systems (GIS), and electrical resistivity methods to delineate groundwater potential zones. It also takes a look at: Inverse modeling (pilot-points method) Simulation optimization models Radionuclide migration studies through mass transport modeling Modeling for mapping groundwater potential Modeling for vertical 2-D and 3-D groundwater flow Groundwater Assessment, Modeling, and Management explores the management of water resources and the impact of climate change on groundwater. Expert contributors provide practical information on hydrologic engineering and groundwater resources management for students, researchers, scientists, and other practicing professionals in environmental engineering, hydrogeology, irrigation, geophysics, and environmental science.

Optimization in Civil & Environmental Engineering

Author : Zong Woo Geem
Publisher : Archives contemporaines
ISBN 13 : 2813000302
Total Pages : 206 pages
Book Rating : 4.8/5 (13 download)

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Book Synopsis Optimization in Civil & Environmental Engineering by : Zong Woo Geem

Download or read book Optimization in Civil & Environmental Engineering written by Zong Woo Geem and published by Archives contemporaines. This book was released on 2012 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Music-Inspired Harmony Search Algorithm

Author : Zong Woo Geem
Publisher : Springer
ISBN 13 : 3642001858
Total Pages : 210 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Music-Inspired Harmony Search Algorithm by : Zong Woo Geem

Download or read book Music-Inspired Harmony Search Algorithm written by Zong Woo Geem and published by Springer. This book was released on 2009-02-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus has been used in solving many scientific and engineering problems. For optimization problems, however, the differential calculus technique sometimes has a drawback when the objective function is step-wise, discontinuous, or multi-modal, or when decision variables are discrete rather than continuous. Thus, researchers have recently turned their interests into metaheuristic algorithms that have been inspired by natural phenomena such as evolution, animal behavior, or metallic annealing. This book especially focuses on a music-inspired metaheuristic algorithm, harmony search. Interestingly, there exists an analogy between music and optimization: each musical instrument corresponds to each decision variable; musical note corresponds to variable value; and harmony corresponds to solution vector. Just like musicians in Jazz improvisation play notes randomly or based on experiences in order to find fantastic harmony, variables in the harmony search algorithm have random values or previously-memorized good values in order to find optimal solution.

Recent Advances in Harmony Search Algorithm

Author : Zong Woo Geem
Publisher : Springer
ISBN 13 : 3642043178
Total Pages : 179 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Recent Advances in Harmony Search Algorithm by : Zong Woo Geem

Download or read book Recent Advances in Harmony Search Algorithm written by Zong Woo Geem and published by Springer. This book was released on 2010-01-12 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, music-inspired phenomenon-mimicking harmony search algorithm is fast growing with many applications. One of key success factors of the algorithm is the employment of a novel stochastic derivative which can be used even for discrete variables. Instead of traditional calculus-based gradient, the algorithm utilizes musician’s experience as a derivative in searching for an optimal solution. This can be a new paradigm and main reason in the successes of various applications. The goal of this book is to introduce major advances of the harmony search algorithm in recent years. The book contains 14 chapters with the following subjects: State-of-the-art in the harmony search algorithm structure; robotics (robot terrain and manipulator trajectory); visual tracking; web text data mining; power flow planning; fuzzy control system; hybridization (with Taguchi method or SQP method); groundwater management; irrigation ; logistics; timetabling; and bioinformatics (RNA structure prediction). This book collects the above-mentioned theory and applications, which are dispersed in various technical publications, so that readers can have a good grasp of current status of the harmony search algorithm and foster new breakthroughs in their fields using the algorithm.

Computational Intelligence-based Optimization Algorithms

Author : Babak Zolghadr-Asli
Publisher : CRC Press
ISBN 13 : 1000964701
Total Pages : 357 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Computational Intelligence-based Optimization Algorithms by : Babak Zolghadr-Asli

Download or read book Computational Intelligence-based Optimization Algorithms written by Babak Zolghadr-Asli and published by CRC Press. This book was released on 2023-10-11 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational intelligence-based optimization methods, also known as metaheuristic optimization algorithms, are a popular topic in mathematical programming. These methods have bridged the gap between various approaches and created a new school of thought to solve real-world optimization problems. In this book, we have selected some of the most effective and renowned algorithms in the literature. These algorithms are not only practical but also provide thought-provoking theoretical ideas to help readers understand how they solve optimization problems. Each chapter includes a brief review of the algorithm’s background and the fields it has been used in. Additionally, Python code is provided for all algorithms at the end of each chapter, making this book a valuable resource for beginner and intermediate programmers looking to understand these algorithms.