To provide an in-depth examination of the theory,
methods and approaches to the analysis and design of stochastic systems
as they occur throughout physical,
engineering, and human systems. The emphasis in
thisundergraduate course is on the use and understanding of
stochastic models and their practical application in the Industrial
Engineering and Operations Research applications.
Some of the topics to be covered in the course
include but are not limited to the following:
- Calculus and Probability Review (Ch.1)
- Inventory, Reliability, and Service
System Modelling(Ch. 4)
- Markov Chains (Ch. 5)
- Markov Decision Processes (Ch. 7) (Optional)
- Single-Channel Exponential Queueing Models (Ch. 8)
- Simple Markovian Birth-Death Models (Ch. 8)
- Advanced Markovian Models (Ch. 8)
- Models with General Arrival and Service Patterns (Ch. 8)
- Open and Closed Networks of Queues (Ch. 8)
- Deterministic Dynamic Programming (Ch. 6)
- Stochastic Dynamic Programming (Ch. 7)
Textbook: Hillier, F. and G. Lieberman, Introduction
to Operations Research, 8th edition.