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1. |
Record Nr. |
UNINA9910789226103321 |
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Autore |
Filar Jerzy |
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Titolo |
Competitive Markov Decision Processes [[electronic resource] /] / by Jerzy Filar, Koos Vrieze |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (XII, 394 p.) |
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Disciplina |
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Soggetti |
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Operations research |
Engineering mathematics |
Engineering - Data processing |
Control engineering |
Robotics |
Automation |
Operations Research and Decision Theory |
Mathematical and Computational Engineering Applications |
Control, Robotics, Automation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Introduction -- 1.0 Background -- 1.1 Raison d’Etre and Limitations -- 1.2 A Menu of Courses and Prerequisites -- 1.3 For the Cognoscenti -- 1.4 Style and Nomenclature -- I Mathematical Programming Perspective -- 2 Markov Decision Processes: The Noncompetitive Case -- 3 Stochastic Games via Mathematical Programming -- II Existence, Structure and Applications -- 4 Summable Stochastic Games -- 5 Average Reward Stochastic Games -- 6 Applications and Special Classes of Stochastic Games -- Appendix G Matrix and Bimatrix Games and Mathematical Programming -- G.1 Introduction -- G.2 Matrix Game -- G.3 Linear Programming -- G.4 Bimatrix Games -- G.5 Mangasarian-Stone Algorithm for Bimatrix Games -- G.6 Bibliographic Notes -- Appendix H A Theorem of Hardy and Littlewood -- H.1 Introduction -- H.2 Preliminaries, Results and Examples -- H.3 Proof of the Hardy-Littlewood Theorem -- Appendix M Markov Chains -- M.1 Introduction -- M.2 Stochastic Matrix -- M.3 Invariant Distribution -- |
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M.4 Limit Discounting -- M.5 The Fundamental Matrix -- M.6 Bibliographic Notes -- Appendix P Complex Varieties and the Limit Discount Equation -- P.1 Background -- P.2 Limit Discount Equation as a Set of Simultaneous Polynomials -- P.3 Algebraic and Analytic Varieties -- P.4 Solution of the Limit Discount Equation via Analytic Varieties -- References. |
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Sommario/riassunto |
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This book is intended as a text covering the central concepts and techniques of Competitive Markov Decision Processes. It is an attempt to present a rig orous treatment that combines two significant research topics: Stochastic Games and Markov Decision Processes, which have been studied exten sively, and at times quite independently, by mathematicians, operations researchers, engineers, and economists. Since Markov decision processes can be viewed as a special noncompeti tive case of stochastic games, we introduce the new terminology Competi tive Markov Decision Processes that emphasizes the importance of the link between these two topics and of the properties of the underlying Markov processes. The book is designed to be used either in a classroom or for self-study by a mathematically mature reader. In the Introduction (Chapter 1) we outline a number of advanced undergraduate and graduate courses for which this book could usefully serve as a text. A characteristic feature of competitive Markov decision processes - and one that inspired our long-standing interest - is that they can serve as an "orchestra" containing the "instruments" of much of modern applied (and at times even pure) mathematics. They constitute a topic where the instruments of linear algebra, applied probability, mathematical program ming, analysis, and even algebraic geometry can be "played" sometimes solo and sometimes in harmony to produce either beautifully simple or equally beautiful, but baroque, melodies, that is, theorems. |
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2. |
Record Nr. |
UNINA9911022158203321 |
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Autore |
Gao Yan |
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Titolo |
Urban Railway Alignment Optimization: Theory and Practice / / by Yan Gao, Qing He |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (226 pages) |
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Collana |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Transportation engineering |
Traffic engineering |
Building construction |
Mathematical optimization |
Transportation Technology and Traffic Engineering |
Solid Construction |
Optimization |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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.-Chapter 1 Introduction -- Chapter 2 Objective Functions and Constraints in Urban Rail Alignment -- Chapter 3 Automatic Calculation of House Demolition -- Chapter 4 Boundary Determination of Existing Infrastructure -- Chapter 5 Optimization for Railway Alignment -- Chapter 6 CAD Automatic Optimization Plugin -- Chapter 7 Conclusions and Future Work -- Appendix. |
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Sommario/riassunto |
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This book falls within the field of urban transportation planning and design, with a particular focus on urban railway alignment optimization. It delves into the background, challenges, and objective functions and constraints (including cost, environmental impact, and risk) of urban railway alignment design. Furthermore, it presents system reliability modeling approaches for assessing the reliability of parallel railway lines. Additionally, the book emphasizes GIS-based methods for land use analysis and automatic demolition area calculation, as well as the Bayesian Sustainable Intelligent Framework for Enhancing Parallel Railway Reliability, which integrates system reliability analysis, the two-dimensional finite element method, and the |
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Bayesian neural network surrogate model. Lastly, it covers the optimization of railway alignment using approximate dynamic programming, introducing a bi-objective approximate fine-grained optimization model that considers both construction cost and construction risk adjacent to existing operating railways. This book encompasses not only the theoretical foundations of urban railway alignment optimization but also provide detailed case studies of practical applications. These methods and techniques are significant for enhancing the efficiency, sustainability, and economy of urban railway systems, making them highly valuable to professionals involved in urban transportation planning, design, and construction. Combining theoretical analysis with practical applications, it provides abundant illustrations and tables to elucidate complex concepts and methods, employs novel presentation styles, such as case studies to demonstrate the practical application of theories, and may include instructional elements like step-by-step guides or practical suggestions to help readers better understand and apply the knowledge. By reading this book, readers can gain insights into the latest methods and techniques in urban railway alignment optimization and learn how to apply them in their work, thereby improving the overall performance and sustainability of urban railway systems. The primary target audience of this book is researchers, practitioners, and students involved in urban transportation planning, design, and construction. Whether for beginners seeking to delve into the field of urban railway alignment optimization or for professionals looking to update their knowledge base, this book is an invaluable resource. |
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