Author: Martin Grötschel
Publisher: Springer Science & Business Media
ISBN: 3662043319
Category : Mathematics
Languages : en
Pages : 789
Get Book Here
Book Description
In its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.
Author: Jesús M. Velásquez-Bermúdez
Publisher: Springer
ISBN: 9783030227906
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. The large scale optimization methods are represented by various theories such as Benders’ decomposition, logic-based Benders’ decomposition, Lagrangian relaxation, Dantzig –Wolfe decomposition, multi-tree decomposition, Van Roy’ cross decomposition and parallel decomposition for mathematical programs such as mixed integer nonlinear programming and stochastic programming. Case studies of large scale optimization in supply chain management, smart manufacturing, and Industry 4.0 are investigated with efficient implementation for real-time solutions. The features of case studies cover a wide range of fields including the Internet of things, advanced transportation systems, energy management, supply chain networks, service systems, operations management, risk management, and financial and sales management. Instructors, graduate students, researchers, and practitioners, would benefit from this book finding the applicability of large scale optimization in asynchronous parallel optimization, real-time distributed network, and optimizing the knowledge-based expert system for convex and non-convex problems.
Author: Vinod Kumar Chauhan
Publisher: CRC Press
ISBN: 1000505618
Category : Computers
Languages : en
Pages : 189
Get Book Here
Book Description
Advancements in the technology and availability of data sources have led to the `Big Data' era. Working with large data offers the potential to uncover more fine-grained patterns and take timely and accurate decisions, but it also creates a lot of challenges such as slow training and scalability of machine learning models. One of the major challenges in machine learning is to develop efficient and scalable learning algorithms, i.e., optimization techniques to solve large scale learning problems. Stochastic Optimization for Large-scale Machine Learning identifies different areas of improvement and recent research directions to tackle the challenge. Developed optimisation techniques are also explored to improve machine learning algorithms based on data access and on first and second order optimisation methods. Key Features: Bridges machine learning and Optimisation. Bridges theory and practice in machine learning. Identifies key research areas and recent research directions to solve large-scale machine learning problems. Develops optimisation techniques to improve machine learning algorithms for big data problems. The book will be a valuable reference to practitioners and researchers as well as students in the field of machine learning.
Author: Nikolai P. Osmolovskii
Publisher: SIAM
ISBN: 1611972353
Category : Mathematics
Languages : en
Pages : 389
Get Book Here
Book Description
A book devoted to second-order optimality conditions in the calculus of variations and optimal control, suitable for researchers and engineers.
Author: José A. Tenreiro Machado
Publisher: MDPI
ISBN: 3906980472
Category : Science
Languages : en
Pages : 552
Get Book Here
Book Description
Printed Edition of the Special Issue Published in Entropy
Author: Sergey Ablameyko
Publisher: IOS Press
ISBN: 9781586033248
Category : Electronic books
Languages : en
Pages : 262
Get Book Here
Book Description
This work reports critical analyses on complexity issues in the continuum setting and on generalization to new examples, which are two basic milestones in learning from examples in connectionist models. It also covers up-to-date developments in computational mathematics.
Author: John D. Hedengren
Publisher: MDPI
ISBN: 3038428051
Category : Technology & Engineering
Languages : en
Pages : 175
Get Book Here
Book Description
This book is a printed edition of the Special Issue "Combined Scheduling and Control" that was published in Processes
Author: Ekaterini Korovessi
Publisher: CRC Press
ISBN: 1420028162
Category : Medical
Languages : en
Pages : 538
Get Book Here
Book Description
Reduced time to market, lower production costs, and improved flexibility are critical success factors for batch processes. Their ability to handle variations in feedstock and product specifications has made them key to the operation of multipurpose facilities, and therefore quite popular in the specialty chemical, pharmaceutical, agricultural, and
Author: Bingzhen Chen
Publisher: Elsevier
ISBN: 0080542182
Category : Technology & Engineering
Languages : en
Pages : 801
Get Book Here
Book Description
Contains proceedings from the 8th International Symposium on Process Systems Engineering (PSE), which brought together the global community of process systems engineering researchers and practitioners involved in the creation and application of computing based methodologies for planning, design, operation, control, and maintenance of chemical processes.Contains proceeding from the 8th International Symposium on Process Systems EngineeringConference theme for PSE 2003 is 'supporting business decision making'
Author: Matthias Gerdts
Publisher: Walter de Gruyter
ISBN: 3110249995
Category : Mathematics
Languages : en
Pages : 469
Get Book Here
Book Description
The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous optimal control problem, which typically is defined and analyzed in a Banach space setting, and discrete optimal control problems, which are obtained by discretization and lead to finite dimensional optimization problems. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics and interest in optimal control. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Examples are provided for illustration purposes.
