A Markov Decision Process (MDP) is a mathematical framework used in reinforcement learning to model decision-making situations where outcomes are partly random and partly controlled by an agent.
It provides the foundation for algorithms like Q-Learning, DQN, and policy optimization.
Components of MDP
- States (S): Possible situations the agent can be in.
- Actions (A): Choices available to the agent in each state.
- Transition Function (T): Probability of moving from one state to another after an action.
- Reward Function (R): Immediate feedback received after taking an action.
- Policy (π): Strategy that defines the action an agent should take in each state.
How MDP Works
- The agent observes its current state.
- It chooses an action based on its policy.
- The environment responds with a new state and reward.
- The agent updates its strategy to maximize cumulative rewards over time.
Advantages of MDP
- Provides a structured way to model decision-making problems
- Supports both deterministic and stochastic environments
- Forms the foundation for many reinforcement learning algorithms
Disadvantages
- Can become complex for large state-action spaces
- Requires full knowledge of the transition and reward functions for exact solutions
Real-World Examples
- Robot navigation in uncertain environments
- Inventory and supply chain management
- Game AI decision-making
- Autonomous driving planning
- Healthcare treatment planning
Conclusion
MDPs are fundamental in reinforcement learning. They help AI agents model environments, make decisions, and learn optimal policies through rewards.
Citations
https://savanka.com/category/learn/ai-and-ml/
https://www.w3schools.com/ai/