Home Syllabus Simulation and Modeling

# Simulation and Modeling

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## Course Objectives:

• To introduce the details of modeling and simulation technologies to students.
• To provide the students with the knowledge of discrete and continuous systems, generation of random variables and analysis of simulation output and simulation languages.

##### Unit I: Introduction to Modeling and Simulation ————————– 4 hours
1. System Concept
2. System Environment
3. Stochastic Activities
4. Continuous & Discrete System
5. System Modeling
6. Types of Models
7. Principles of Modeling
8. Area of Application
9. Verification & Validation model
##### Unit II: System Simulation —————————————————– 8 hours
1. The technique of Simulation – Monte Carlo Method
2. Problems Depicting Monte Carlo Method
3. Comparison of simulation and analytical methods
4. Experimental nature of simulation
5. Types of system simulation
6. Distributed Lag model
7. Cobweb Models
8. Steps of Simulation Study
10. Queuing Models and its characteristics
11. Queuing Discipline
12. Measures of queues
13. Single server Queuing system
##### Unit III: Continuous System ————————————————— 8 hours
1. Continuous System simulation and system dynamics
2. Continuous system models
3. Differential Equations-Linear Differential Equations
4. Non Linear Differential Equations
5. Partial Differential Equations
6. Analog Computers
7. Components of Analog Computer
8. Analog Methods
9. Hybrid Computers
10. Digital Analog Simulator
11. Continuous system simulation language
12. CSMP III:
1. Structure Statement
2. Data Statement
3. Control statements
4. Hybrid Statement
13. Feedback System
14. Interactive system
15. Real time simulation
16. Predator pray model
##### Unit IV: Discrete System Simulation —————————————— 8 hours
1. Discrete System Simulation
2. Representation of Time
3. Generation of Arrival patterns
4. Simulation of Telephone System
5. Gathering Statistics
6. Counters & Summary Statistics
7. Measuring Utilization & Occupancy
8. Recording Distribution & Transit time
9. Discrete Simulation Language
##### Unit V: Probability Concepts and Random Number Generation ——- 5 hours
1. Probability concepts in simulation- Stochastic variable
2. Discrete probability function
3. Continuous probability function
4. Random Numbers
5. Properties of Random Numbers
6. Pseudo Random Numbers
7. Techniques for Generation of Random Numbers
8. Test for random number generation:
1. Uniformity Test (K-S test and Chi-Square Test)
2. Independence test (Run test and Auto Correlation test)
##### Unit VI: Simulation Language ————————————————- 6 hours
1. Types of Simulation Language
2. Discrete System Modeling & Simulation with GPSS
3. GPSS program applications
4. SIMSCRIPT-Organization of a SIMSCRIPT program
5. SIMSCRIPT programs
##### Unit VII: Analysis of Simulation Output ———————————— 6 hours
1. Nature of the Problem
2. Estimation Method
3. Simulation Run Statistics
4. Replication of Run
5. Elimination of Initial Bias

## Laboratory:

Develop a simulation model, the topic could be either initiated by the student or selected from a list provided by the instructor. An oral presentation with a demonstration should be part of the laboratory project report.

## Reference Book:

1. J.A. Spriest and G.C Vansteenkiste, Computer-Aided Modeling and Simulation, Academic Press.
2. G.Gorden, System Simulation, Prentice Hall of India
3. A.M Law and R.F. Perry, Simulation : A Problem-Solving approach, Addison Wesley Publishing Company
4. A.M Law ans W.D.Kelton, Simulation Modeling and Analysis, McGraw Hill, 1991.