i. Definition of Simulation:
Simulation is the imitation of a real-world process or system over time through a mathematical model to study its behavior and predict outcomes under different scenarios.

ii. Advantages of Simulation:

1. Risk Reduction: Helps to test different scenarios without real-world risks.
2. Cost Efficiency: Saves cost by avoiding physical trials.
3. Detailed Insights: Provides in-depth analysis of system behavior.
4. Flexibility: Allows easy manipulation of variables to observe outcomes.
5. Training: Useful in training professionals in controlled environments.

Disadvantages of Simulation:

1. Complexity: Building accurate models can be challenging.
2. Time-Consuming: Simulations can take a long time to run, especially for complex systems.
3. Cost of Development: Developing simulation models can be expensive.

iii. Distinction between Continuous Simulation and Discrete Simulation:

• Continuous Simulation: Models systems where changes occur continuously over time, such as fluid flow or climate change.
• Discrete Simulation: Models systems where changes occur at specific intervals or events, such as in queuing systems or inventory management.