IE452 MATHEMATICAL MODELING&APPLICATIONS

Course Code:5680452
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:Assist.Prof.Dr SAKİNE BATUN
Offered Semester:Fall or Spring Semesters.

Course Objectives

At the end of the course, the students will

1. refine their understanding of the general principles of model building in mathematical programming, and recognize the scope and limitations of mathematical programming.

2. be able to apply mathematical programming to real life problems in production and service systems.

3. become familiar with typical implementation problems encountered in real life applications such as data handling, input/output requirements and validation.


Course Content

The aim of this course is to develop better skills in building and understanding mathematical modeling. Deterministic models in the areas of transportation, distribution, location, production and economic planning are analyzed.


Course Learning Outcomes

At the end of the course, the students will

1.1. describe steps of model building process.

1.2. define assumptions of mathematical models.

1.3. define objectives and constraints.

2.1. identify and build appropriate mathematical models for network problems.

2.2. identify and build appropriate mathematical models for location problems.

2.3. identify and build appropriate mathematical models for distribution problems.

2.4. identify and build appropriate mathematical models for productions planning and scheduling problems.

3.1. collect data to estimate the value of parameters.

3.2. verify and validate the mathematical model.

3.3. perform sensitivity/scenario analysis.

3.4. select among alternative courses of actions.


Program Outcomes Matrix

Contribution
#Program OutcomesNoYes
1An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
2An 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
3An ability to communicate effectively with a range of audiences
4An 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
5An 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
6An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
7An ability to acquire and apply new knowledge as needed, using appropriate learning strategies
8An 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
9An ability to apply critical reason and systems thinking in problem solving and systems design
10An ability to use scientific methods and tools (such as mathematical models, statistical methods and techniques) necessary for industrial engineering practice