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Hands-On Simulation Modeling with Python

You're reading from   Hands-On Simulation Modeling with Python Develop simulation models to get accurate results and enhance decision-making processes

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Product type Paperback
Published in Jul 2020
Publisher Packt
ISBN-13 9781838985097
Length 346 pages
Edition 1st Edition
Languages
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Author (1):
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Giuseppe Ciaburro Giuseppe Ciaburro
Author Profile Icon Giuseppe Ciaburro
Giuseppe Ciaburro
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Table of Contents (16) Chapters Close

Preface 1. Section 1: Getting Started with Numerical Simulation
2. Chapter 1: Introducing Simulation Models FREE CHAPTER 3. Chapter 2: Understanding Randomness and Random Numbers 4. Chapter 3: Probability and Data Generation Processes 5. Section 2: Simulation Modeling Algorithms and Techniques
6. Chapter 4: Exploring Monte Carlo Simulations 7. Chapter 5: Simulation-Based Markov Decision Processes 8. Chapter 6: Resampling Methods 9. Chapter 7: Using Simulation to Improve and Optimize Systems 10. Section 3: Real-World Applications
11. Chapter 8: Using Simulation Models for Financial Engineering 12. Chapter 9: Simulating Physical Phenomena Using Neural Networks 13. Chapter 10: Modeling and Simulation for Project Management 14. Chapter 11: What's Next? 15. Other Books You May Enjoy

The Bellman equation explained

In 1953, Richard Bellman introduced the principles of dynamic programming in order to efficiently solve sequential decision problems. In this type of problem, decisions are periodically implemented and influence the size of the model. In turn, these influence future decisions. The principle of optimality, enunciated by Bellman, allows, through an intelligent application, you to efficiently deal with the complexity of the interaction between the decisions and the sizes of the model. Dynamic programming techniques were also applied from the outset to problems in which there is no temporal or sequential aspect.

Important Note

Although dynamic programming can be applied to a wide range of problems by providing a common abstract model, from a practical point of view, many problems require models of such dimensions to preclude, then as now, any computational approach. This inconvenience was then called the 'curse of dimensionality' and was an...

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