Separable Optimization

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Separable Optimization
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Author : Stefan M. Stefanov
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Separable Optimization written by Stefan M. Stefanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
In this book, the theory, methods and applications of separable optimization are considered. Some general results are presented, techniques of approximating the separable problem by linear programming problem, and dynamic programming are also studied. Convex separable programs subject to inequality/ equality constraint(s) and bounds on variables are also studied and convergent iterative algorithms of polynomial complexity are proposed. As an application, these algorithms are used in the implementation of stochastic quasigradient methods to some separable stochastic programs. The problems of numerical approximation of tabulated functions and numerical solution of overdetermined systems of linear algebraic equations and some systems of nonlinear equations are solved by separable convex unconstrained minimization problems. Some properties of the Knapsack polytope are also studied. This second edition includes a substantial amount of new and revised content. Three new chapters, 15-17, are included. Chapters 15-16 are devoted to the further analysis of the Knapsack problem. Chapter 17 is focused on the analysis of a nonlinear transportation problem. Three new Appendices (E-G) are also added to this edition and present technical details that help round out the coverage. Optimization problems and methods for solving the problems considered are interesting not only from the viewpoint of optimization theory, optimization methods and their applications, but also from the viewpoint of other fields of science, especially the artificial intelligence and machine learning fields within computer science. This book is intended for the researcher, practitioner, or engineer who is interested in the detailed treatment of separable programming and wants to take advantage of the latest theoretical and algorithmic results. It may also be used as a textbook for a special topics course or as a supplementary textbook for graduate courses on nonlinear and convex optimization.
Stochastic Global Optimization Methods And Applications To Chemical Biochemical Pharmaceutical And Environmental Processes
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Author : Ch. Venkateswarlu
language : en
Publisher: Elsevier
Release Date : 2019-11-18
Stochastic Global Optimization Methods And Applications To Chemical Biochemical Pharmaceutical And Environmental Processes written by Ch. Venkateswarlu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-18 with Technology & Engineering categories.
Stochastic global optimization methods and applications to chemical, biochemical, pharmaceutical and environmental processes presents various algorithms that include the genetic algorithm, simulated annealing, differential evolution, ant colony optimization, tabu search, particle swarm optimization, artificial bee colony optimization, and cuckoo search algorithm. The design and analysis of these algorithms is studied by applying them to solve various base case and complex optimization problems concerning chemical, biochemical, pharmaceutical, and environmental engineering processes. Design and implementation of various classical and advanced optimization strategies to solve a wide variety of optimization problems makes this book beneficial to graduate students, researchers, and practicing engineers working in multiple domains. This book mainly focuses on stochastic, evolutionary, and artificial intelligence optimization algorithms with a special emphasis on their design, analysis, and implementation to solve complex optimization problems and includes a number of real applications concerning chemical, biochemical, pharmaceutical, and environmental engineering processes. - Presents various classical, stochastic, evolutionary, and artificial intelligence optimization algorithms for the benefit of the audience in different domains - Outlines design, analysis, and implementation of optimization strategies to solve complex optimization problems of different domains - Highlights numerous real applications concerning chemical, biochemical, pharmaceutical, and environmental engineering processes
Algebraic And Combinatorial Methods In Operations Research
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Author : R.E. Burkard
language : en
Publisher: Elsevier
Release Date : 1984-01-01
Algebraic And Combinatorial Methods In Operations Research written by R.E. Burkard and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability.Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.
Theoretical Mechanics And Optimization Techniques
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-03-24
Theoretical Mechanics And Optimization Techniques written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-24 with Science categories.
Studies classical mechanics and optimization methods. Covers Lagrangian dynamics, constraints, and applications in engineering.
Innovations And Developments Of Swarm Intelligence Applications
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Author : Shi, Yuhui
language : en
Publisher: IGI Global
Release Date : 2012-05-31
Innovations And Developments Of Swarm Intelligence Applications written by Shi, Yuhui and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Computers categories.
The natural social behavior of large groups of animals, such as flocks of birds, schools of fish, or colonies of ants has fascinated scientists for hundreds of years, if not longer, due to the intricate nature of their interactions and their ability to move and work together seemingly effortlessly. Innovations and Developments of Swarm Intelligence Applications explores the emerging realm of swarm intelligence, which finds its basis in the natural social behavior of animals. The study and application of this swarm behavior has led scientists to a new world of research as ways are found to apply this behavior to independent intelligent agents, creating complex solutions for real world applications. Worldwide contributions have been seamlessly combined in this comprehensive reference, providing a wealth of new information for researchers, academicians, students, and engineers.
Time Delay Systems Methods Applications And New Trends
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Author : Rifat Sipahi
language : en
Publisher: Springer
Release Date : 2012-02-23
Time Delay Systems Methods Applications And New Trends written by Rifat Sipahi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Technology & Engineering categories.
This volume is concerned with the control and dynamics of time delay systems; a research field with at least six-decade long history that has been very active especially in the past two decades. In parallel to the new challenges emerging from engineering, physics, mathematics, and economics, the volume covers several new directions including topology induced stability, large-scale interconnected systems, roles of networks in stability, and new trends in predictor-based control and consensus dynamics. The associated applications/problems are described by highly complex models, and require solving inverse problems as well as the development of new theories, mathematical tools, numerically-tractable algorithms for real-time control. The volume, which is targeted to present these developments in this rapidly evolving field, captures a careful selection of the most recent papers contributed by experts and collected under five parts: (i) Methodology: From Retarded to Neutral Continuous Delay Models, (ii) Systems, Signals and Applications, (iii): Numerical Methods, (iv) Predictor-based Control and Compensation, and (v) Networked Control Systems and Multi-agent Systems.
Coevolutionary Computation And Its Applications
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Author : Xin Yao
language : en
Publisher: Springer Nature
Release Date : 2025-04-15
Coevolutionary Computation And Its Applications written by Xin Yao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-15 with Computers categories.
This book introduces the fundamentals of Coevolutionary Computation and presents new methodologies that are developed and then employed for modern real-world problem-solving in various applications across different domains. It is structured in three main parts to support the anticipated general and frequent usage of the book. In particular, the reader is able to obtain a quick and general introduction on the principles of coevolution in Part I, and then go over in detail the specifics how coevolutionary principles are exploited and applied to solve specific problems in the relevant chapters of Parts II and III. In this manner, Part I will introduce the fundamentals in Coevolutionary Computation with no assumption made on familiarity with Evolutionary Computation literature. These fundamentals include key concepts and operational principles of both evolutionary and coevolutionary processes that are modelled as iterative algorithms and systems implementable in computing machines. Parts II and III contain various applications of coevolution to problems that are framed in the context of optimization and learning, respectively. Detailed procedural implementations are provided for those methodologies as well as analysis that highlight the improvements they bring about over conventional techniques.
Computing And Combinatorics
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Author : Yixin Cao
language : en
Publisher: Springer
Release Date : 2017-07-25
Computing And Combinatorics written by Yixin Cao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-25 with Computers categories.
This book constitutes the refereed proceedings of the 23rd International Conference on Computing and Combinatorics, COCOON 2017, held in Hiong Kong, China, in August 2017. The 56 full papers papers presented in this book were carefully reviewed and selected from 119 submissions. The papers cover various topics, including algorithms and data structures, complexity theory and computability, algorithmic game theory, computational learning theory, cryptography, computationalbiology, computational geometry and number theory, graph theory, and parallel and distributed computing.
Optimizing Solutions For Real Life Problems
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Author : Nilanjan Dey
language : en
Publisher: Springer Nature
Release Date : 2025-06-20
Optimizing Solutions For Real Life Problems written by Nilanjan Dey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Computers categories.
This book explores various optimization techniques that can be used to address problems in the real world. These problems can be found in healthcare, engineering, manufacturing, and many other fields. In many real-world situations, from business to science, optimization techniques are similar to problem-solving tools. They help us make the best choices by considering limitations (constraints) and what we are trying to achieve (objectives). These techniques sift through all the possibilities and find the most effective option. Optimization is similar to a toolbox filled with different problem-solving methods, such as linear programming or genetic algorithms. These tools help us make better decisions about allocating resources across many different fields. They do this by finding the most efficient and effective solutions, considering all the limitations and goals involved.
Fundamentals Of Ordinary Differential Equations
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Author : Mohit Chatterjee
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Fundamentals Of Ordinary Differential Equations written by Mohit Chatterjee and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Fundamentals of Ordinary Differential Equations" is a comprehensive guide designed for students, researchers, and professionals to master ODE theory and applications. We cover essential principles, advanced techniques, and practical applications, providing a well-rounded resource for understanding differential equations and their real-world impact. The book offers a multifaceted approach, from basic principles to advanced concepts, catering to fields like physics, engineering, biology, and economics. Mathematical ideas are broken down with step-by-step explanations, examples, and illustrations, making complex concepts accessible. Real-world examples throughout each chapter show how ODEs model and analyze systems in diverse disciplines. We also explain numerical methods such as Euler’s method, Runge-Kutta, and finite differences, equipping readers with computational tools for solving ODEs. Advanced topics include bifurcation, chaos theory, Hamiltonian systems, and singular perturbations, providing an in-depth grasp of ODE topics. With chapter summaries, exercises, glossaries, and additional resources, "Fundamentals of Ordinary Differential Equations" is an essential reference for students, professionals, and practitioners across science and engineering fields.