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Evaluating Gas Network Capacities


Evaluating Gas Network Capacities
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Evaluating Gas Network Capacities


Evaluating Gas Network Capacities
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Author : Thorsten Koch
language : en
Publisher: SIAM
Release Date : 2015-03-17

Evaluating Gas Network Capacities written by Thorsten Koch and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-17 with Mathematics categories.


This book addresses a seemingly simple question: Can a certain amount of gas be transported through a pipeline network? The question is difficult, however, when asked in relation to a meshed nationwide gas transportation network and when taking into account the technical details and discrete decisions, as well as regulations, contracts, and varying demands, involved. This book provides an introduction to the field of gas transportation planning and discusses in detail the advantages and disadvantages of several mathematical models that address gas transport within the context of its technical and regulatory framework, shows how to solve the models using sophisticated mathematical optimization algorithms, and includes examples of large-scale applications of mathematical optimization to this real-world industrial problem. Readers will also find a glossary of gas transport terms, tables listing the physical and technical quantities and constants used throughout the book, and a reference list of regulation and gas business literature.



Evaluating Gas Network Capacities


Evaluating Gas Network Capacities
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Author : Thorsten Koch
language : en
Publisher: SIAM
Release Date : 2015-03-17

Evaluating Gas Network Capacities written by Thorsten Koch and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-17 with Mathematics categories.


"This book deals with a simple sounding question whether a certain amount of gas can be transported by a given pipeline network. While well studied for a single pipeline, this question gets extremely difficult if we consider a meshed nation wide gas transportation network, taking into account all the technical details and discrete decisions, as well as regulations, contracts, and varying demand. This book describes several mathematical models to answer these questions, discusses their merits and disadvantages, explains the necessary technical and regulatory background, and shows how to solve this question using sophisticated mathematical optimization algorithms."--



Gas Network Optimization By Minlp


Gas Network Optimization By Minlp
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Author : Jesco Humpola
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2017-07-25

Gas Network Optimization By Minlp written by Jesco Humpola and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-25 with Mathematics categories.


This thesis is about mathematical optimization for an efficient operation of gas transmission networks. The challenging question is how to expand and operate the network in order to facilitate the transportation of specified gas quantities at minimum cost. This problem is a major challenge for gas network operators. It is extremely hard to solve due to the combinatorial complexity of the active network elements such as compressors, the nonlinear physical characteristic of pipelines, and the immense sizes of the problem instances. Mathematical models and optimization techniques can result in huge gains for the network operators in terms of cost reductions and automated computations. We tackle this challenge by developing novel mathematical theory and associated innovative optimization algorithms for large scale instances. This allows us to produce solutions for a real-world instance, i.e., the largest gas network in Germany.



First Order Methods In Optimization


First Order Methods In Optimization
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Author : Amir Beck
language : en
Publisher: SIAM
Release Date : 2017-10-02

First Order Methods In Optimization written by Amir Beck and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Mathematics categories.


The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.



Minimum Volume Ellipsoids


Minimum Volume Ellipsoids
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Author : Michael J. Todd
language : en
Publisher: SIAM
Release Date : 2016-07-11

Minimum Volume Ellipsoids written by Michael J. Todd and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Mathematics categories.


This book, the first on these topics, addresses the problem of finding an ellipsoid to represent a large set of points in high-dimensional space, which has applications in computational geometry, data representations, and optimal design in statistics. The book covers the formulation of this and related problems, theoretical properties of their optimal solutions, and algorithms for their solution. Due to the high dimensionality of these problems, first-order methods that require minimal computational work at each iteration are attractive. While algorithms of this kind have been discovered and rediscovered over the past fifty years, their computational complexities and convergence rates have only recently been investigated. The optimization problems in the book have the entries of a symmetric matrix as their variables, so the author's treatment also gives an introduction to recent work in matrix optimization. This book provides historical perspective on the problems studied by optimizers, statisticians, and geometric functional analysts; demonstrates the huge computational savings possible by exploiting simple updates for the determinant and the inverse after a rank-one update, and highlights the difficulties in algorithms when related problems are studied that do not allow simple updates at each iteration; and gives rigorous analyses of the proposed algorithms, MATLAB codes, and computational results.



Modern Nonconvex Nondifferentiable Optimization


Modern Nonconvex Nondifferentiable Optimization
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Author : Ying Cui
language : en
Publisher: SIAM
Release Date : 2021-12-02

Modern Nonconvex Nondifferentiable Optimization written by Ying Cui and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-02 with Mathematics categories.


Starting with the fundamentals of classical smooth optimization and building on established convex programming techniques, this research monograph presents a foundation and methodology for modern nonconvex nondifferentiable optimization. It provides readers with theory, methods, and applications of nonconvex and nondifferentiable optimization in statistical estimation, operations research, machine learning, and decision making. A comprehensive and rigorous treatment of this emergent mathematical topic is urgently needed in today’s complex world of big data and machine learning. This book takes a thorough approach to the subject and includes examples and exercises to enrich the main themes, making it suitable for classroom instruction. Modern Nonconvex Nondifferentiable Optimization is intended for applied and computational mathematicians, optimizers, operations researchers, statisticians, computer scientists, engineers, economists, and machine learners. It could be used in advanced courses on optimization/operations research and nonconvex and nonsmooth optimization.



Advances And Trends In Optimization With Engineering Applications


Advances And Trends In Optimization With Engineering Applications
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Author : Tamas Terlaky
language : en
Publisher: SIAM
Release Date : 2017-04-26

Advances And Trends In Optimization With Engineering Applications written by Tamas Terlaky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-26 with Mathematics categories.


Optimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods.



Introduction To Optimization And Hadamard Semidifferential Calculus Second Edition


Introduction To Optimization And Hadamard Semidifferential Calculus Second Edition
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Author : Michel C. Delfour
language : en
Publisher: SIAM
Release Date : 2019-12-19

Introduction To Optimization And Hadamard Semidifferential Calculus Second Edition written by Michel C. Delfour and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-19 with Mathematics categories.


This second edition provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice René Fréchet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus, including the chain rule, making it a natural framework for initiating a large audience of undergraduates and non-mathematicians into the world of nondifferentiable optimization. Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition builds upon its prior edition’s foundations in Hadamard semidifferential calculus, showcasing new material linked to convex analysis and nonsmooth optimization. It presents a modern treatment of optimization and Hadamard semidifferential calculus while remaining at a level that is accessible to undergraduate students, and challenges students with exercises related to problems in such fields as engineering, mechanics, medicine, physics, and economics. Answers are supplied in Appendix B. Students of mathematics, physics, engineering, economics, and other disciplines that demand a basic knowledge of mathematical analysis and linear algebra will find this a fitting primary or companion resource for their studies. This textbook has been designed and tested for a one-term course at the undergraduate level. In its full version, it is appropriate for a first-year graduate course and as a reference.



Introduction To The Scenario Approach


Introduction To The Scenario Approach
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Author : Marco C. Campi
language : en
Publisher: SIAM
Release Date : 2018-11-15

Introduction To The Scenario Approach written by Marco C. Campi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-15 with Mathematics categories.


This book is about making decisions driven by experience. In this context, a scenario is an observation that comes from the environment, and scenario optimization refers to optimizing decisions over a set of available scenarios. Scenario optimization can be applied across a variety of fields, including machine learning, quantitative finance, control, and identification. This concise, practical book provides readers with an easy access point to make the scenario approach understandable to nonexperts, and offers an overview of various decision frameworks in which the method can be used. It contains numerous examples and diverse applications from a broad range of domains, including systems theory, control, biomedical engineering, economics, and finance. Practitioners can find "easy-to-use recipes," while theoreticians will benefit from a rigorous treatment of the theoretical foundations of the method, making it an excellent starting point for scientists interested in doing research in this field. Introduction to the Scenario Approach will appeal to scientists working in optimization, practitioners working in myriad fields involving decision-making, and anyone interested in data-driven decision-making.



Electrical Transmission System Cascades And Vulnerability


Electrical Transmission System Cascades And Vulnerability
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Author : Daniel Bienstock
language : en
Publisher: SIAM
Release Date : 2016-12-14

Electrical Transmission System Cascades And Vulnerability written by Daniel Bienstock and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Mathematics categories.


The power grid can be considered one of twentieth-century engineering?s greatest achievements, and as grids and populations grow, robustness is a factor that planners must take into account. Power grid robustness is a complex problem for two reasons: the underlying physics is mathematically complex, and modeling is complicated by lack of accurate data. This book sheds light on this complex problem by introducing the engineering details of power grid operations from the basic to the detailed; describing how to use optimization and stochastic modeling, with special focus on the modeling of cascading failures and robustness; providing numerical examples that show ?how things work?; and detailing the application of a number of optimization theories to power grids.?