IE361 STOCHASTIC MODELS IN OPERATIONS RESEARCH
| Course Code: | 5680361 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Industrial Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. ZEYNEP MÜGE AVŞAR |
| Offered Semester: | Fall Semesters. |
Course Objectives
1. comprehend the processes that evolve over time in a random manner, and specifically, be able to model and analyze the processes that have Markovian property.
2. apply the techniques for solving optimization problems that involve sequential interrelated decisions.
3. comprehend the necessary tools to analyze birth-and-death processes and various queueing models and assess their applicability in practice.
Course Content
Introduction to stochastic processes.Discrete-time Markov chains. Mean first passage times. Steady-state analysis. Basics of queueing theory. Types of queues. Deterministic and stochastic dynamic programming.
5
Course Learning Outcomes
1.1. Model a discrete time random process as a Markov Chain
1.2. Classify the states of a Markov Chain.
1.3. Find n-step and steady state probabilities.
1.4. Calculate performance measures.
2.1 Model a sequential decision situation using Dynamic Programming.
2.2 Write recursive function.
2.3 Solve Dynamic Programming models.
3.1 Model appropriate random process as a Birth and Death and Queuing Models.
3.2 Find steady state probabilities.
3.3 Apply Little’s Law.
3.4 Calculate performance measures.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics | ✔ | |||
| 2 | An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors | ✔ | |||
| 3 | An ability to communicate effectively with a range of audiences | ✔ | |||
| 4 | An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts | ✔ | |||
| 5 | An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives | ✔ | |||
| 6 | An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions | ✔ | |||
| 7 | An ability to acquire and apply new knowledge as needed, using appropriate learning strategies | ✔ | |||
| 8 | An ability to design, analyze, operate, and improve integrated systems that produce and/or supply products and/or services in an effective, efficient, sustainable, and socially responsible manner | ✔ | |||
| 9 | An ability to apply critical reason and systems thinking in problem solving and systems design | ✔ | |||
| 10 | An ability to use scientific methods and tools (such as mathematical models, statistical methods and techniques) necessary for industrial engineering practice | ✔ | |||