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Table of Contents

Dynamic Programming

Dynamic Programming

Dynamic Programming

Dynamic Programming

Theory

Bellman’s principle of optimality

Proof

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What's the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

Forward DP example: What’s the best path?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

What’s the Impact of Planning Horizon?

Forward DP example: What’s the best path?

Forward DP vs. Myopic

N-Best DP: What are the four best solutions?

PPT Slide

No! Recall from the forward DP example:

N-Best DP

No! The the myopic solution is 5th best

Computational Feasibility: The Curse of Dimensionality

Computational Feasibility: The Curse of Dimensionality

PPT Slide

Exercise

Exercise cont.

PPT Slide

We welcome your questions with Enthusiasm!

Author: Professor Manhire

Email: manhire@ohio.edu

Home Page: http://www.ent.ohiou.edu/~manhire