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抽象動態規劃(英文)(簡體書)
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抽象動態規劃(英文)(簡體書)

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博塞克斯編著的《抽象動態規劃(國際知名大學原版教材)/資訊技術學科與電氣工程學科系列》採用一種簡潔的方式介紹動態規劃的理論與方法。首先把動態規劃的核心問題表述為一類抽象影射的不動點問題,然後將決定不動點問題求解難度的主要因素概括為上述抽象投影射的兩個性質,接著順序討論了各種典型情況下的相應不動點問題的主要性質和求解方法。

目次

1.Introduction
 1.1.Structure of Dynamic Programming Problems
 1.2.Abstract Dynamic Programming Models
1.2.1.Problem Formulation
1.2.2.Monotonicity and Contraction Assumptions
1.2.3.Some Examples
1.2.4.Approximation-Related Mappings
 1.3.Organization of the Book
 1.4.Notes, Sources, and Exercises
2.Contractive Models
 2.1.Fixed Point Equation and Optimality Conditions
 2.2.Limited Lookahead Policies
 2.3.Value Iteration
2.3.1.Approximate Value Iteration
 2.4.Policy Iteration
2.4.1.Approximate Policy Iteration
 2.5.Optimistic Policy Iteration
2.5.1.Convergence of Optimistic Policy Iteration
2.5.2.Approximate Optimistic Policy Iteration
 2.6.Asynchronous Algorithms 
2.6.1.Asynchronous Value Iteration
2.6.2.Asynchronous Policy Iteration
2.6.3.Policy Iteration with a Uniform Fixed Point
 2.7.Notes, Sources, and Exercises
3.Semicontractive Models
 3.1.Semicontractive Models and Regular Policies
3.1.1.Fixed Points, Optimality Conditions, and
Algorithmic Results
3.1.2.Illustrative Example: Deterministic Shortest
Path Problems
 3.2.Irregular Policies and a Perturbation Approach
3.2.1.The Case Where Irregular Policies Have Infinite
Cost
3.2.2.The Case Where Irregular Policies Have Finite
Cost - Perturbations
 3.3.Algorithms
3.3.1.Asynchronous Value Iteration
3.3.2.Asynchronous Policy Iteration
3.3.3.Policy Iteration with Perturbations
 3.4.Notes, Sources, and Exercises
4.Noncontractive Models
 4.1.Noncontractive Models
 4.2.Finite Horizon Problems
 4.3.Infinite Horizon Problems
4.3.1.Fixed Point Properties and Optimality Conditions
4.3.2.Value Iteration
4.3.3.Policy Iteration
 4.4.Semicontractive-Monotone Increasing Models
4.4.1.Value and Policy Iteration Algorithms
4.4.2.Some Applications
4.4.3.Linear-Quadratic Problems
 4.5.Affine Monotonic Models
4.5.1.Increasing Affine Monotonic Models
4.5.2.Nonincreasing Affine Monotonic Models
4.5.3.Exponential Cost Stochastic Shortest Path
Problems
 4.6.An Overview of Semicontractive Models and Results
 4.7.Notes, Sources, and Exercises
5.Models with Restricted Policies
 5.1.A Framework for Restricted Policies
5.1.1.General Assumptions
 5.2.Finite Horizon Problems
 5.3.Contractive Models
 5.4.Borel Space Models
 5.5.Notes, Sources, and Exercises
Appendix A: Notation and Mathematical Conventions
Appendix B: Contraction Mappings
Appendix C: Measure Theoretic Issues
Appendix D: Solutions of Exercises
References
Index

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