Practical Bilevel Optimization

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475728360
Total Pages : 484 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Practical Bilevel Optimization by : Jonathan F. Bard

Download or read book Practical Bilevel Optimization written by Jonathan F. Bard and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have been made recently in the solution of large-scale problems arising in such areas as production planning, airline scheduling, government regulation, and engineering design, to name a few. Analysts have found, however, that standard mathematical programming models are often inadequate in these situations because more than a single objective function and a single decision maker are involved. Multiple objective programming deals with the extension of optimization techniques to account for several objective functions, while game theory deals with the inter-personal dynamics surrounding conflict. Bilevel programming, the focus of this book, is in a narrow sense the combination of the two. It addresses the problern in which two decision makers, each with their individual objectives, act and react in a noncooperative, sequential manner. The actions of one affect the choices and payoffs available to the other but neither player can completely dominate the other in the traditional sense.

Foundations of Bilevel Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 030648045X
Total Pages : 309 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Foundations of Bilevel Programming by : Stephan Dempe

Download or read book Foundations of Bilevel Programming written by Stephan Dempe and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all parameter values, this problem is equivalent to a one-level optimization problem having an implicitly defined objective function. Special emphasize in the book is on problems having non-unique lower level optimal solutions, the optimistic (or weak) and the pessimistic (or strong) approaches are discussed. The book starts with the required results in parametric nonlinear optimization. This is followed by the main theoretical results including necessary and sufficient optimality conditions and solution algorithms for bilevel problems. Stationarity conditions can be applied to the lower level problem to transform the optimistic bilevel programming problem into a one-level problem. Properties of the resulting problem are highlighted and its relation to the bilevel problem is investigated. Stability properties, numerical complexity, and problems having additional integrality conditions on the variables are also discussed. Audience: Applied mathematicians and economists working in optimization, operations research, and economic modelling. Students interested in optimization will also find this book useful.

Bilevel Programming Problems

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Publisher : Springer
ISBN 13 : 3662458276
Total Pages : 325 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Bilevel Programming Problems by : Stephan Dempe

Download or read book Bilevel Programming Problems written by Stephan Dempe and published by Springer. This book was released on 2015-01-28 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent theoretical findings relevant to bilevel programming in general, and in mixed-integer bilevel programming in particular. It describes recent applications in energy problems, such as the stochastic bilevel optimization approaches used in the natural gas industry. New algorithms for solving linear and mixed-integer bilevel programming problems are presented and explained.

Metaheuristics for Bi-level Optimization

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Publisher : Springer
ISBN 13 : 3642378382
Total Pages : 288 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Metaheuristics for Bi-level Optimization by : El-Ghazali Talbi

Download or read book Metaheuristics for Bi-level Optimization written by El-Ghazali Talbi and published by Springer. This book was released on 2013-04-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete background on metaheuristics to solve complex bi-level optimization problems (continuous/discrete, mono-objective/multi-objective) in a diverse range of application domains. Readers learn to solve large scale bi-level optimization problems by efficiently combining metaheuristics with complementary metaheuristics and mathematical programming approaches. Numerous real-world examples of problems demonstrate how metaheuristics are applied in such fields as networks, logistics and transportation, engineering design, finance and security.

Bilevel Optimization

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Publisher : Springer Nature
ISBN 13 : 3030521192
Total Pages : 679 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Bilevel Optimization by : Stephan Dempe

Download or read book Bilevel Optimization written by Stephan Dempe and published by Springer Nature. This book was released on 2020-11-23 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg’s habilitation thesis “Marktform und Gleichgewicht,” which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC

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Publisher : Springer
ISBN 13 : 981104774X
Total Pages : 124 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC by : Didier Aussel

Download or read book Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC written by Didier Aussel and published by Springer. This book was released on 2018-04-03 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book is to present the modern tool of variational analysis and optimization, which are used to analyze these three classes of problems. All contributing authors are respected academicians, scientists and researchers from around the globe. These contributions are based on the lectures delivered by experts at CIMPA School, held at the University of Delhi, India, from 25 November–6 December 2013, and peer-reviewed by international experts. The book contains five chapters. Chapter 1 deals with nonsmooth, nonconvex bilevel optimization problems whose feasible set is described by using the graph of the solution set mapping of a parametric optimization problem. Chapter 2 describes a constraint qualification to MPECs considered as an application of calmness concept of multifunctions and is used to derive M-stationarity conditions for MPEC. Chapter 3 discusses the first- and second-order optimality conditions derived for a special case of a bilevel optimization problem in which the constraint set of the lower level problem is described as a general compact convex set. Chapter 4 concentrates the results of the modelization and analysis of deregulated electricity markets with a focus on auctions and mechanism design. Chapter 5 focuses on optimization approaches called reflection methods for protein conformation determination within the framework of matrix completion. The last chapter (Chap. 6) deals with the single-valuedness of quasimonotone maps by using the concept of single-directionality with a special focus on the case of the normal operator of lower semi-continuous quasiconvex functions.

Multilevel Optimization: Algorithms and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461303079
Total Pages : 402 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Multilevel Optimization: Algorithms and Applications by : A. Migdalas

Download or read book Multilevel Optimization: Algorithms and Applications written by A. Migdalas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers working with nonlinear programming often claim "the word is non linear" indicating that real applications require nonlinear modeling. The same is true for other areas such as multi-objective programming (there are always several goals in a real application), stochastic programming (all data is uncer tain and therefore stochastic models should be used), and so forth. In this spirit we claim: The word is multilevel. In many decision processes there is a hierarchy of decision makers, and decisions are made at different levels in this hierarchy. One way to handle such hierar chies is to focus on one level and include other levels' behaviors as assumptions. Multilevel programming is the research area that focuses on the whole hierar chy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of opti mization problems which must be solved in a predetermined sequence. If only two levels are considered, we have one leader (associated with the upper level) and one follower (associated with the lower level).

Smart Cities and Machine Learning in Urban Health

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Publisher : IGI Global
ISBN 13 : 1799871789
Total Pages : 269 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Smart Cities and Machine Learning in Urban Health by : Thomas, J. Joshua

Download or read book Smart Cities and Machine Learning in Urban Health written by Thomas, J. Joshua and published by IGI Global. This book was released on 2021-11-12 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The perception of smart cities encompasses a strategy that uses different types of technologies, artificial intelligence (AI), and machine learning and in which, through the internet of things (IoT) and sensor-based data collection, the strategy extrapolates information using insights gained from that data to manage or monitor or track assets, resources, and services efficiently in an urban area. Both these models deeply affect the localities where they are applied and can create together immense possibilities for urban recovery, better quality of life, physical and mental health protection, and economic and social redevelopment. Smart Cities and Machine Learning in Urban Health promotes interdisciplinary work that develops and illustrates the concept of resilience in relation to smart city and machine learning. The book examines the ability of an area and its communities to recover quickly from difficulties; the rigidness and resistance of an area and its communities to possible crisis; the ability of an area, its communities, infrastructure, and business to spring back into shape; and the responsiveness and mitigation towards the crisis with a special look at the impact of the COVID-19 pandemic. The research’s theoretical foundation rests on a wide range of non-architectural sources, primarily AI, sociology, urban studies, and technological development, but it explores everything on cases taken from real cities, thus transforming them into pieces of architectural interest. Covering topics such as carbon emissions, digital healthcare systems, and urban transformation, this book is an essential resource for graduate and post-graduate students, policymakers, researchers, university faculty, engineers, public management, hospital administration, professors, and academicians.

Random-Like Bi-level Decision Making

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Publisher : Springer
ISBN 13 : 9811017689
Total Pages : 401 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Random-Like Bi-level Decision Making by : Jiuping Xu

Download or read book Random-Like Bi-level Decision Making written by Jiuping Xu and published by Springer. This book was released on 2016-08-29 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the various multi-level formulations of mathematical models in decision making processes, this book focuses on the bi-level model. Being the most frequently used, the bi-level model addresses conflicts which exist in multi-level decision making processes. From the perspective of bi-level structure and uncertainty, this book takes real-life problems as the background, focuses on the so-called random-like uncertainty, and develops the general framework of random-like bi-level decision making problems. The random-like uncertainty considered in this book includes random phenomenon, random-overlapped random (Ra-Ra) phenomenon and fuzzy-overlapped random (Ra-Fu) phenomenon. Basic theory, models, algorithms and practical applications for different types of random-like bi-level decision making problems are also presented in this book.

Pyomo – Optimization Modeling in Python

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Publisher : Springer Science & Business Media
ISBN 13 : 146143226X
Total Pages : 238 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Pyomo – Optimization Modeling in Python by : William E. Hart

Download or read book Pyomo – Optimization Modeling in Python written by William E. Hart and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects) for both beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs.

Applied Optimization

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Publisher : Cambridge University Press
ISBN 13 : 1107394082
Total Pages : 859 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Applied Optimization by : Ross Baldick

Download or read book Applied Optimization written by Ross Baldick and published by Cambridge University Press. This book was released on 2009-01-18 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems and develops techniques for solving them. A number of engineering case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form. Five general problem classes are considered: linear systems of equations, non-linear systems of equations, unconstrained optimization, equality-constrained optimization and inequality-constrained optimization. The book contains many worked examples and homework exercises and is suitable for students of engineering or operations research taking courses in optimization. Supplementary material including solutions, lecture slides and appendices are available online at www.cambridge.org/9780521855648.

Recent Advances in Evolutionary Multi-objective Optimization

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Publisher : Springer
ISBN 13 : 3319429787
Total Pages : 179 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Recent Advances in Evolutionary Multi-objective Optimization by : Slim Bechikh

Download or read book Recent Advances in Evolutionary Multi-objective Optimization written by Slim Bechikh and published by Springer. This book was released on 2016-08-09 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the most recent advances in the field of evolutionary multiobjective optimization. With the aim of drawing the attention of up-and coming scientists towards exciting prospects at the forefront of computational intelligence, the authors have made an effort to ensure that the ideas conveyed herein are accessible to the widest audience. The book begins with a summary of the basic concepts in multi-objective optimization. This is followed by brief discussions on various algorithms that have been proposed over the years for solving such problems, ranging from classical (mathematical) approaches to sophisticated evolutionary ones that are capable of seamlessly tackling practical challenges such as non-convexity, multi-modality, the presence of multiple constraints, etc. Thereafter, some of the key emerging aspects that are likely to shape future research directions in the field are presented. These include: optimization in dynamic environments, multi-objective bilevel programming, handling high dimensionality under many objectives, and evolutionary multitasking. In addition to theory and methodology, this book describes several real-world applications from various domains, which will expose the readers to the versatility of evolutionary multi-objective optimization.

Evolutionary Multi-Criterion Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642010199
Total Pages : 599 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Evolutionary Multi-Criterion Optimization by : Matthias Ehrgott

Download or read book Evolutionary Multi-Criterion Optimization written by Matthias Ehrgott and published by Springer Science & Business Media. This book was released on 2009-03-26 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2009, held in Nantes, France in April 2009. The 39 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on theoretical analysis, uncertainty and noise, algorithm development, performance analysis and comparison, applications, MCDM Track, Many objectives, alternative methods, as well as EMO and MCDA.

Multi-level Mixed-Integer Optimization

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110760312
Total Pages : 154 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Multi-level Mixed-Integer Optimization by : Styliani Avraamidou

Download or read book Multi-level Mixed-Integer Optimization written by Styliani Avraamidou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-06-06 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental underlying mathematical theory, numerical algorithms and effi cient computational tools for the solution of multi-level mixedinteger optimization problems. It can enable a vast array of decision makers and engineers (e.g. process engineers, bioengineers, chemical and civil engineers, and economists) to model, formulate and solve hierarchical decision making problems. The book gives detailed insights on multi-level optimization by comprehensive explanations, step-by-step numerical examples and case studies, plots, and diagrams.

Practical Bilevel Optimization

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Publisher :
ISBN 13 : 9781475728378
Total Pages : 492 pages
Book Rating : 4.7/5 (283 download)

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Book Synopsis Practical Bilevel Optimization by : Jonathan F. Bard

Download or read book Practical Bilevel Optimization written by Jonathan F. Bard and published by . This book was released on 2014-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

100 Optimization Techniques

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Author :
Publisher : SUBRATA PANDEY
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4./5 ( download)

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Book Synopsis 100 Optimization Techniques by : Subrata Pandey

Download or read book 100 Optimization Techniques written by Subrata Pandey and published by SUBRATA PANDEY. This book was released on 2023-02-23 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: 100 optimization techniques is intended as a handbook for optimization techniques. Optimization techniques and algorithms are methods used to find the most efficient solution to a problem. Different techniques and algorithms may be used to solve a particular problem, depending on the nature of the problem. Researchers from varieties of domains are using optimization algorithms to solve problems in their domain. Different optimization techniques have their pros and cons. This book serves as a handbook for researchers who wants to know about different optimization methods currently available and their operating principles. One hundred optimization techniques are arranged in an alphabetical order. Researchers and students who want to use different optimization techniques for solving their domain related problems will find this book helpful.