The Master Equation and the Convergence Problem in Mean Field Games

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Publisher : Princeton University Press
ISBN 13 : 0691190712
Total Pages : 224 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Master Equation and the Convergence Problem in Mean Field Games by : Pierre Cardaliaguet

Download or read book The Master Equation and the Convergence Problem in Mean Field Games written by Pierre Cardaliaguet and published by Princeton University Press. This book was released on 2019-08-13 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population. While it originated in economics, this theory now has applications in areas as diverse as mathematical finance, crowd phenomena, epidemiology, and cybersecurity. Because mean field games concern the interactions of infinitely many players in an optimal control framework, one expects them to appear as the limit for Nash equilibria of differential games with finitely many players as the number of players tends to infinity. This book rigorously establishes this convergence, which has been an open problem until now. The limit of the system associated with differential games with finitely many players is described by the so-called master equation, a nonlocal transport equation in the space of measures. After defining a suitable notion of differentiability in the space of measures, the authors provide a complete self-contained analysis of the master equation. Their analysis includes the case of common noise problems in which all the players are affected by a common Brownian motion. They then go on to explain how to use the master equation to prove the mean field limit. This groundbreaking book presents two important new results in mean field games that contribute to a unified theoretical framework for this exciting and fast-developing area of mathematics.

How To Become A Master Problem Solver

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Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.6/5 (444 download)

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Book Synopsis How To Become A Master Problem Solver by : Jay Rush

Download or read book How To Become A Master Problem Solver written by Jay Rush and published by . This book was released on 2020-05-09 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solve All Your Current Challenges Plus That of Businesses and Other Individuals Do you have problems or challenges that are still unresolved?Do you want to possess a skill that will make you in demand by businesses and other individuals?Are money challenges a good place you want to have solutions for?Well, you are no more than a click away from one of the best investments you will ever make in your life.In this book, you will learn about the 3 major benefits of problem solving including monetary gains. Problem solvers are the highest paid in the world. You can sit on that high table too.You will get to know how you can become a problem solver in less than 48 hours. The problem-solving process will be second nature to you.Additionally, you will discover the 4 keys of master problem solvers and how to add them to your war chest of solving problems efficiently. You will operate like a master problem solver once you understand these 4 keys. They are sacred.Furthermore, you will learn how to solve all your current problems and more. There is also a complimentary key within the book that will cause your life to move 5 years ahead of your contemporaries. (It is a proven fact)Whether it is personal, business or national problems you would like to solve, the training you require to be a master problem solver are in the pages of this book.Make the smart move and accomplish your desire to solve problems while being rewarded at the same time.Scroll up to the top and click the BUY BUTTON and end the problems of many that will come to recognize your skill and importance.

The Master Algorithm

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Publisher : Basic Books
ISBN 13 : 0465061923
Total Pages : 354 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Master Algorithm by : Pedro Domingos

Download or read book The Master Algorithm written by Pedro Domingos and published by Basic Books. This book was released on 2015-09-22 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recommended by Bill Gates A thought-provoking and wide-ranging exploration of machine learning and the race to build computer intelligences as flexible as our own In the world's top research labs and universities, the race is on to invent the ultimate learning algorithm: one capable of discovering any knowledge from data, and doing anything we want, before we even ask. In The Master Algorithm, Pedro Domingos lifts the veil to give us a peek inside the learning machines that power Google, Amazon, and your smartphone. He assembles a blueprint for the future universal learner--the Master Algorithm--and discusses what it will mean for business, science, and society. If data-ism is today's philosophy, this book is its bible.

Facilities Design

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Publisher : CRC Press
ISBN 13 : 1420066277
Total Pages : 626 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Facilities Design by : Sunderesh S. Heragu

Download or read book Facilities Design written by Sunderesh S. Heragu and published by CRC Press. This book was released on 2008-06-19 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delineating the proper design, layout, and location of facilities, this book strikes a healthy balance between theory and practice. It provides an understanding of the practical aspects of implementing preliminary designs development through analytical models. The third edition of a bestseller, it features updated multimedia tools, new software, an

Principles and Practice of Constraint Programming - CP 2001

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Publisher : Springer
ISBN 13 : 3540455787
Total Pages : 802 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Principles and Practice of Constraint Programming - CP 2001 by : Toby Walsh

Download or read book Principles and Practice of Constraint Programming - CP 2001 written by Toby Walsh and published by Springer. This book was released on 2003-06-30 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Principles and Practice of Constraint Programming, CP 2001, held in Paphos, Cyprus, in November/December 2001. The 37 revised full papers, 9 innovative applications presentations, and 14 short papers presented were carefully reviewed and selected from a total of 135 submissions. All current issues in constraint processing are addressed, ranging from theoretical and foundational issues to advanced and innovative applications in a variety of fields.

Constraint and Integer Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402075834
Total Pages : 406 pages
Book Rating : 4.0/5 (758 download)

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Book Synopsis Constraint and Integer Programming by : Michela Milano

Download or read book Constraint and Integer Programming written by Michela Milano and published by Springer Science & Business Media. This book was released on 2003-11-30 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraint and Integer Programming presents some of the basic ideas of constraint programming and mathematical programming, explores approaches to integration, brings us up to date on heuristic methods, and attempts to discern future directions in this fast-moving field.

Power System Operation and Optimization Considering High Penetration of Renewable Energy

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 283255444X
Total Pages : 321 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Power System Operation and Optimization Considering High Penetration of Renewable Energy by : Shengyuan Liu

Download or read book Power System Operation and Optimization Considering High Penetration of Renewable Energy written by Shengyuan Liu and published by Frontiers Media SA. This book was released on 2024-09-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The energy landscape is shifting toward renewable energy sources to mitigate climate change and reduce dependence on fossil fuels. The integration of renewable energy sources into the power grid presents various challenges, including uncertainty and variability of renewable energy sources, grid stability, and management of energy storage. Power system operation and optimization play a crucial role in managing the energy supply-demand balance, reducing operational costs, and improving the reliability of the power system. This call for papers aims to bring together the latest research and practical applications related to power system operation and optimization in the context of high penetration of renewable energy sources. We welcome contributions from researchers and practitioners from a broad range of disciplines to shed light on the challenges and opportunities associated with renewable energy integration in power systems. The objective of this Research Topic is to explore the latest advances in power system operation and optimization with a focus on the high penetration of renewable energy sources. We invite potential authors to submit articles for publication on the Research Topic of Frontiers in Energy Research on Power System Operation and Optimization Considering the High Penetration of Renewable Energy.

Combinatorial Optimization and Applications

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Publisher : Springer Nature
ISBN 13 : 3031576039
Total Pages : 506 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Combinatorial Optimization and Applications by : Teodor Gabriel Crainic

Download or read book Combinatorial Optimization and Applications written by Teodor Gabriel Crainic and published by Springer Nature. This book was released on with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms - ESA 2008

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Publisher : Springer
ISBN 13 : 3540877444
Total Pages : 860 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Algorithms - ESA 2008 by : Kurt Mehlhorn

Download or read book Algorithms - ESA 2008 written by Kurt Mehlhorn and published by Springer. This book was released on 2008-09-20 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th Annual European Symposium on Algorithms, ESA 2008, held in Karlsruhe, Germany, in September 2008 in the context of the combined conference ALGO 2008. The 67 revised full papers presented together with 2 invited lectures were carefully reviewed and selected: 51 papers out of 147 submissions for the design and analysis track and 16 out of 53 submissions in the engineering and applications track. The papers address all current subjects in algorithmics reaching from design and analysis issues of algorithms over to real-world applications and engineering of algorithms in various fields. Special focus is given to mathematical programming and operations research, including combinatorial optimization, integer programming, polyhedral combinatorics and network optimization.

Decomposition Techniques in Mathematical Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3540276866
Total Pages : 542 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Decomposition Techniques in Mathematical Programming by : Antonio J. Conejo

Download or read book Decomposition Techniques in Mathematical Programming written by Antonio J. Conejo and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.

Mathematical Programming for Industrial Engineers

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Publisher : CRC Press
ISBN 13 : 9780824796204
Total Pages : 662 pages
Book Rating : 4.7/5 (962 download)

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Book Synopsis Mathematical Programming for Industrial Engineers by : Mordecai Avriel

Download or read book Mathematical Programming for Industrial Engineers written by Mordecai Avriel and published by CRC Press. This book was released on 1996-05-16 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Setting out to bridge the gap between the theory of mathematical programming and the varied, real-world practices of industrial engineers, this work introduces developments in linear, integer, multiobjective, stochastic, network and dynamic programing. It details many relevant industrial-engineering applications.;College or university bookstores may order five or more copies at a special student price, available upon request from Marcel Dekker, Inc.

Logic-Based Benders Decomposition

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Publisher : Springer Nature
ISBN 13 : 3031450396
Total Pages : 148 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Logic-Based Benders Decomposition by : John Hooker

Download or read book Logic-Based Benders Decomposition written by John Hooker and published by Springer Nature. This book was released on 2023-12-20 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive guide to logic-based Benders decomposition (LBBD), a general and versatile method for breaking large, complex optimization problems into components that are small enough for practical solution. The author introduces logic-based Benders decomposition for optimization, which substantially generalizes the classical Benders method. It can reduce solution times by orders of magnitude and allows decomposition to be applied to a much wider variety of optimization problems. On the theoretical side, this book provides a full account of inference duality concepts that underlie LBBD, as well as a description of how LBBD can be combined with stochastic and robust optimization, heuristic methods, and decision diagrams. It also clarifies the connection between LBBD and combinatorial Benders cuts for mixed integer programming. On the practical side, it explains how LBBD has been applied to a rapidly growing variety of problem domains. After describing basic theory, this book provides a comprehensive review of the rapidly growing literature that describes these applications, in each case explaining how LBBD is adapted to the problem at hand. In doing so this work provides a sourcebook of ideas for applying LBBD to new problems as they arise.

Online Storage Systems and Transportation Problems with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387234853
Total Pages : 230 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Online Storage Systems and Transportation Problems with Applications by : Julia Kallrath

Download or read book Online Storage Systems and Transportation Problems with Applications written by Julia Kallrath and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appendices A Rotastore A. l Tabular Results for Different Models A. 2 Tabular Results for Different Algorithms B OptiTrans B. l Input Data B. l. l Input Data Common to all Solution Approaches B. 1. 2 Specific Input Data for the MILP Model and the Column Enumeration Approach B. 1. 3 Specific Input Data for the Heuristic Methods B. 1. 3. 1 Penalty Criteria B. 1. 3. 2 Control Parameters of the OptiTrans Software B. 2 Tabular Results B. 2. 1 Tabular Results for the MILP Model B. 2. 2 Tabular Results for the Heuristic Methods B. 2. 2. 1 Input Data for a Whole Day - Offline Analysis B. 2. 2. 2 Results for CIH and SA References Index Preface This book covers the analysis and development of online algorithms involving exact optimization and heuristic techniques, and their appli- tion to solve two real life problems. The first problem is concerned with a complex technical system: a special carousel based high-speed storage system - Rotastore. It is shown that this logistic problem leads to an NP-hard Batch Presorting Pr- lem (BPSP) which is not easy to solve optimally in offline situations. We consider a polynomial case and develope an exact algorithm for offline situations. Competitive analysis showed that the proposed online - gorithm is 312-competitive. Online algorithms with lookahead improve the online solutions in particular cases. If the capacity constraint on additional storage is neglected the problem has a totally unimodular polyhedron.

Planning and Operation of Multi-Carrier Energy Networks

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Publisher : Springer Nature
ISBN 13 : 3030600866
Total Pages : 374 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Planning and Operation of Multi-Carrier Energy Networks by : Morteza Nazari-Heris

Download or read book Planning and Operation of Multi-Carrier Energy Networks written by Morteza Nazari-Heris and published by Springer Nature. This book was released on 2021-04-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the optimal design and operation of multi-carrier energy systems, providing a comprehensive review of existing systems as well as proposing new models. Chapters cover the theoretical background and application examples of interconnecting energy technologies such as combined heat and power plants, natural gas-fired power plants, power to gas technology, hydropower plants, and water desalination systems, taking into account the operational and technical constraints of each interconnecting element and the network constraint of each energy system. This book will be a valuable reference for power network and mechanical system professionals and engineers, electrical power engineering researchers and developers, and professionals from affiliated power system planning communities. Provides insight on the design and operation of multi-carrier energy systems; Covers both theoretical aspects and technical applications; Includes case studies to help apply concepts to real engineering situations.

Nonlinear and Mixed-Integer Optimization

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Publisher : Oxford University Press on Demand
ISBN 13 : 9788426713339
Total Pages : 462 pages
Book Rating : 4.7/5 (133 download)

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Book Synopsis Nonlinear and Mixed-Integer Optimization by : Christodoulos A. Floudas

Download or read book Nonlinear and Mixed-Integer Optimization written by Christodoulos A. Floudas and published by Oxford University Press on Demand. This book was released on 1995-10-05 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling a void in chemical engineering and optimization literature, this book presents the theory and methods for nonlinear and mixed-integer optimization, and their applications in the important area of process synthesis. Other topics include modeling issues in process synthesis, and optimization-based approaches in the synthesis of heat recovery systems, distillation-based systems, and reactor-based systems. The basics of convex analysis and nonlinear optimization are also covered and the elementary concepts of mixed-integer linear optimization are introduced. All chapters have several illustrations and geometrical interpretations of the material as well as suggested problems. Nonlinear and Mixed-Integer Optimization will prove to be an invaluable source--either as a textbook or a reference--for researchers and graduate students interested in continuous and discrete nonlinear optimization issues in engineering design, process synthesis, process operations, applied mathematics, operations research, industrial management, and systems engineering.

Computational Logistics

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Publisher : Springer
ISBN 13 : 331944896X
Total Pages : 462 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Computational Logistics by : Ana Paias

Download or read book Computational Logistics written by Ana Paias and published by Springer. This book was released on 2016-08-15 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Computational Logistics, ICCL 2016, held in Lisbon, Portugal, in September 2016. The 29 papers presented in this volume were carefully reviewed and selected for inclusion in the book. They are organized in topical sections entitled: container terminals and maritime transportation; intermodal transport; location and routing; (general) logistics and supply chain management.

Network and Discrete Location

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Publisher : John Wiley & Sons
ISBN 13 : 1118030737
Total Pages : 519 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Network and Discrete Location by : Mark S. Daskin

Download or read book Network and Discrete Location written by Mark S. Daskin and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The comprehensive introduction to the art and science of locating facilities to make your organization more efficient, effective, and profitable. For the professional siting facilities, the task of translating organizational goals and objectives into concrete facilities requires a working familiarity with the theoretical and practical fundamentals of facility location planning and modeling. The first hands-on guide to using and developing facility location models, Network and Discrete Location offers a practiceoriented introduction to model-building methods and solution algorithms, complete with software to solve classical problems of realistic size and end-of-chapter exercises to enhance the reader's understanding. The text introduces the reader to the key classical location problems (covering, center, median, and fixed charge) which form the nucleus of facility location modeling. It also discusses real-life extensions of the basic models used in locating: production and distribution facilities, interacting services and facilities, and undesirable facilities. The book outlines a host of methodological tools for solving location models and provides insights into when each approach is useful and what information it provides. Designed to give readers a working familiarity with the basic facility location model types as well as an intuitive knowledge of the uses and limits of modeling techniques, Network and Discrete Location brings students and professionals alike swiftly from basic theory to technical fluency.