Dynamic Programming

Name: Dynamic Programming | Sequential Scientific Management
Brand: Academic Press
Price: 64.95 EUR
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Sequential Scientific Management

Cruon(Herausgeber*in)

Academic Press

Erschienen am 14. Mai 2014

297 Seiten

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978-0-08-095544-5 (ISBN)

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Front Cover
Dynamic Programming: Sequential Scientific Management
Copyright Page
Foreword to The French Edition
Contents
Preface to The French Edition
List of Principal Symbols
Chapter 1. Discrete Dynamic Programs With a Certain Future and a Limited Horizon
1. General Introduction
2. A Numerical Example
3. Mathematical Model of a Discrete Dynamic Program with a Certain Future
4. Interpretation by the Theory of Graphs. Multistage Graphs
5. Explanation of Certain Difficulties in the Calculations
6. A Numerical Example Which is Nonlinear
7. The Case where the Decision Variable Has More Dimensions than the State Variable
8. Case where the Final and Initial States Are N o t Both Prescribed
9. Comparison of the Four Methods
10. Stationary Programs. Convergence. Permanent Policies
Chapter 2. Discrete Dynamic Programs With a Certain Future and an Unlimited Horizon
11. Introduction
12. Convergence by ''Narrowing" the Domain of Decision
13. The Criterion of the Present Value
14. Criterion of the Average Value per Period
Chapter 3. Discrete Dynamic Programs With a Random Future and Limited Horizon
15. introduction
16. An Example of D.H. (Décision-Hasard) Dynamic Program
17. Mathematical Model of a D.H. Dynamic Program. Decomposed Form
18. Mathematical Model of an H. D. Dynamic Program. Decomposed Form
19. Examples
Chapter 4. Discrete Dynamic Programs With a Random Future and Unlimited Horizon (General Case)
20. Introduction
21. Criterion of the Expected Total Value
22. Approximation in the Space of the Strategies
23. Convergence of the Total Present Value of an Arbitrary Strategy
24. Influence of the Initial State
25. The Criterion of the Expected Total Value without Discounting
26. The Criterion of the Average Expected Value per Period
27. Optimization of the Average Value per Period
Chapter 5. Discrete D.H. Dynamic Programs With Finite Markovian Chains
28. Introduction
29. Structure of Finite Markovian Chains
30. Irreducible Finite Markovian Chain7
31. The Generating Function (z-Transform)
32. Quantitative Study of Finite Markovian Chains
33. Value of a Permanent Strategy
34. Optimization of the Total Present Value
35. Optimization of the Average Value per Period (or of the Total Value)
36. Optimization of the Average Value per Period in the Special Case of a Certain Future
37. Decomposed Form
Chapter 6. Various Generalizations
38. Introduction
39. Nonsequential Structures
40. Nonadditive Values
Bibliography
I. Theory
II. Practice
Subject Index
Mathematics in Science and Engineering

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