IE561 STOCHASTIC PROCESSES I
| Course Code: | 5680561 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Industrial Engineering |
| Language of Instruction: | English |
| Level of Study: | Masters |
| Course Coordinator: | Prof.Dr. ZEYNEP PELİN BAYINDIR |
| Offered Semester: | Fall or Spring Semesters. |
Course Objectives
At the end of this course, the student will be able to
- model stochastic processes,
- analyze the transient behaviour of stochastic processes,
- analyze the limiting behaviour of stochastic processes.
Course Content
Markov chains: Transient and steady state behavior, First Passage times. Markov process: Transient and steady state behavior, First Passage times and phase type distributions. Queuing networks. Markov decision process (MDP): Continuous and discreet time models, MDP as linear programs, MDP under constraints, Maintenance applications. Reliability and maintenance problems: Definition, System configurations, Reliability improvements with cost considerations, Reliability bounds.
Course Learning Outcomes
Student, who passed the course satisfactorily will be able to
- model a discrete time stochastic process as a Markov Chain,
- model a continuous time stochastic process as a Markov Chain,
- analyze Poisson processes,
- analyze the transient behavior of Markov Chains,
- analyze the limiting behavior of Markov Chains.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Specialize with advanced knowledge in selected areas of Industrial Engineering; such as Production and Operations Management, Supply Chain Management, Business Analytics and Information Systems, Decision Sciences and Operational Research, Quality Management, Human Factors and Ergonomics, and Strategy and Industrial Economics. | ✔ | |||
| 2 | Have advanced ability to formulate and solve industrial engineering problems. | ✔ | |||
| 3 | Be able to systematically acquire new scientific knowledge to design and improve socio-technical systems. | ✔ | |||
| 4 | Be able to conduct scientific research in industrial engineering. | ✔ | |||
| 5 | Be able to apply critical reasoning in their professional careers. | ✔ | |||
| 6 | Appreciate the academics ethics. | ✔ | |||