Simulation and Modeling

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. 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. 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
   9. Time advancement mechanism
   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. 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. 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. 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. 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. 1. Nature of the Problem
   2. Estimation Method
   3. Simulation Run Statistics
   4. Replication of Run
   5. Elimination of Initial Bias

Laboratory:

Reference Book:

1. 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.