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SYLLABUS
Simulation and Modelling
Objectives: This course provides an introduction to system modelling using both computer simulation and mathematical
techniques. The objective of this course is:
To teach students methods for modelling systems.
To emphasize of the course will be on modelling
To use of simulation software
Sr. No. Topics
1. Introduction: Simulation of a pure-pursuit problem, System and its model, Simulation of an inventory
problem, basic nature of simulation, When to simulate
2. Simulation of Continuous systems: A chemical reactor, numerical integration Vs Continuous system
simulation, Selection of integration formulas
3. Simulation of a servo system, Simulation of water reservoir system, Analog Vs Digital Simulation
4. Discrete System Simulation: Fixed time-step vs event-to-event model, Simulating randomness,
generation of random numbers
5. Discrete System Simulation: Generation of non-uniformly distributed random numbers, monte-
carlo Vs stochastic simulation
6. Simulation of Queuing Systems: Rudiments of queuing theory, Simulation of single-server queue,
Simulation of two-server queue
7. Simulation of a PERT network: Network model of a project, Analysis of an activity network, Critical
path computation, Simulation of an activity network
Computer program for simulation, resource allocation and cost considerations
8. Design and Evaluation of Simulation Experiments: Length of simulation runs, variance reduction
techniques, experimental layout, validation
9. Simulation Languages: Continuous and Discrete system simulation languages, Continuous
simulation languages
10. Simulation Languages: Block-structured continuous simulation languages, Expression-based
languages, Discrete-system simulation languages