Partially observable Markov decision processes for imperfect information – Complete Phd and Masters Thesis

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Thesis Overview

Title: Partially Observable Markov Decision Processes for Imperfect Information

Introduction:

Partially Observable Markov decision processes (POMDPs) are a powerful framework for modeling decision-making problems in the presence of uncertainty. In many real-world scenarios, decision makers do not have complete information about the state of the system, leading to imperfect information. This thesis aims to explore the application of POMDPs in modeling and solving decision-making problems under imperfect information.

Chapter 1: Introduction
1.1 Introduction
1.2 Background of study
1.3 Problem Statement
1.4 Objective of study
1.5 Limitation of study
1.6 Scope of study
1.7 Significance of study
1.8 Structure of the Thesis
1.9 Definition of Terms

Chapter 2: Literature Review
2.1 Overview of POMDPs
2.2 Applications of POMDPs in decision-making
2.3 Approaches to solving POMDPs
2.4 Challenges and limitations of POMDPs
2.5 POMDPs for imperfect information
2.6 Previous research on POMDPs for imperfect information
2.7 Comparison with other decision-making models
2.8 Future directions in POMDP research
2.9 Summary of existing literature

Chapter 3: System Design and Methodology
3.1 Problem formulation
3.2 State space and observation space definition
3.3 Transition and observation models
3.4 Reward function design
3.5 Policy evaluation and optimization
3.6 Particle filtering for belief updating
3.7 Value iteration and policy iteration algorithms
3.8 Simulation and experimentation setup
3.9 Evaluation metrics
3.10 Methodology summary

Chapter 4: System Implementation
4.1 Software and tools used
4.2 Data collection and preprocessing
4.3 Model implementation
4.4 Algorithm implementation
4.5 Integration and testing
4.6 Performance evaluation
4.7 Results analysis
4.8 Discussion of findings
4.9 Comparison with existing approaches

Chapter 5: Conclusion and Summary
5.1 Summary of findings
5.2 Contributions of the study
5.3 Implications for decision-making
5.4 Limitations and future work
5.5 Concluding remarks

This thesis explores the use of POMDPs for modeling decision-making problems under imperfect information, providing a comprehensive overview of the theory, implementation, and evaluation of POMDPs in real-world scenarios. By addressing the challenges of imperfect information, this research aims to contribute to the development of more robust and effective decision-making systems.

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