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Author: Thorsten Koch
Publisher: SIAM
ISBN: 1611973686
Category : Mathematics
Languages : en
Pages : 368
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Book Description
"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."--
Author: Thorsten Koch
Publisher: SIAM
ISBN: 1611973686
Category : Mathematics
Languages : en
Pages : 368
Get Book Here
Book Description
"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."--
Author: Jesco Humpola
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832545050
Category : Mathematics
Languages : en
Pages : 260
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Book Description
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.
Author: Nallapaneni Manoj Kumar
Publisher: Frontiers Media SA
ISBN: 2832523285
Category : Technology & Engineering
Languages : en
Pages : 287
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Book Description
Author: Natalia Kliewer
Publisher: Springer
ISBN: 3319899201
Category : Business & Economics
Languages : en
Pages : 698
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Book Description
This book gathers a selection of peer-reviewed papers presented at the International Conference on Operations Research (OR 2017), which was held at Freie Universität Berlin, Germany on September 6-8, 2017. More than 800 scientists, practitioners and students from mathematics, computer science, business/economics and related fields attended the conference and presented more than 500 papers in parallel topic streams, as well as special award sessions. The main theme of the conference and its proceedings was "Decision Analytics for the Digital Economy."
Author: Jonas Schweiger
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832546677
Category : Mathematics
Languages : en
Pages : 206
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Book Description
The amazing success of computational mathematical optimization over the last decades has been driven more by insights into mathematical structures than by the advance of computing technology. In this vein, Jonas Schweiger addresses applications, where nonconvexity in the model and uncertainty in the data pose principal difficulties. In the first part, he contributes strong relaxations for non-convex problems such as the non-convex quadratic programming and the Pooling Problem. In the second part, he contributes a robust model for gas transport network extension and a custom decomposition approach. All results are backed by extensive computational studies.
Author: Coralia Cartis
Publisher: SIAM
ISBN: 1611976995
Category : Mathematics
Languages : en
Pages : 549
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Book Description
A popular way to assess the “effort” needed to solve a problem is to count how many evaluations of the problem functions (and their derivatives) are required. In many cases, this is often the dominating computational cost. Given an optimization problem satisfying reasonable assumptions—and given access to problem-function values and derivatives of various degrees—how many evaluations might be required to approximately solve the problem? Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation, and Perspectives addresses this question for nonconvex optimization problems, those that may have local minimizers and appear most often in practice. This is the first book on complexity to cover topics such as composite and constrained optimization, derivative-free optimization, subproblem solution, and optimal (lower and sharpness) bounds for nonconvex problems. It is also the first to address the disadvantages of traditional optimality measures and propose useful surrogates leading to algorithms that compute approximate high-order critical points, and to compare traditional and new methods, highlighting the advantages of the latter from a complexity point of view. This is the go-to book for those interested in solving nonconvex optimization problems. It is suitable for advanced undergraduate and graduate students in courses on advanced numerical analysis, data science, numerical optimization, and approximation theory.
Author: Natalia Selini Hadjidimitriou
Publisher: Springer Nature
ISBN: 3030574423
Category : Technology & Engineering
Languages : en
Pages : 131
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Book Description
This book presents a collection of energy production and distribution problems identified by the members of the COST Action TD1207 "Mathematical Optimization in the Decision Support Systems for Efficient and Robust Energy Networks". The aim of the COST Action was to coordinate the efforts of the experts in different fields, from academia and industry, in developing innovative tools for quantitative decision making, and apply them to the efficient and robust design and management of energy networks. The work covers three main goals:• to be a nimble while comprehensive resource of several real life business problems with a categorized set of pointers to many relevant prescriptive problems for energy systems;• to offer a balanced mix of scientific and industrial views;• to evolve over time in a flexible and dynamic way giving, from time to time, a more scientific or industrial - or even political in a broad sense - weighed perspective.It is addressed to researchers and professionals working in the field.
Author: Stephen Campbell
Publisher: Springer
ISBN: 3030037185
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text. Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful.
Author: Reimund Neugebauer
Publisher: Springer Nature
ISBN: 3031221001
Category : Technology & Engineering
Languages : en
Pages : 474
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Book Description
Hydrogen technologies are key for achieving a carbon-neutral economy; these offer solutions for the further expansion of renewable energy supplies, climate-neutral industry processes and sustainable mobility. For Germany and Europe alike, they present an opportunity to maintain industrial value creation, expand export opportunities and secure technological sovereignty. In this book, the Fraunhofer-Gesellschaft presents the knowledge and experience it has acquired along the entire value chain of the hydrogen economy. This encompasses materials and system development, production, system upscaling, energy sector applications, emission-intensive industry processes and mobility, as well as the practical, overarching issues of safety, standardization and service life.
Author: Winfried Keiper
Publisher: Springer
ISBN: 3319753193
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new out-of-the-box algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike.
