Course Code & Number
IE 232
Course Title
Mathematical Modeling and Optimization I
Credit Hours/ ECTS Credits
(3+0+0) 3 TEDU Credits, 6 ECTS Credits
Type of Course:
Compulsory
Mode of Delivery:
Face-to-face
Language of Instruction:
English
Pre-requisite / Co-requisite::
Pre-requisites: MATH 203 OR MATH 112
Co-requisites: NONE
Catalog Description
Linear programming models. Graphical solutions. Interpretation of solutions.The simplex method, duality, sensitivity analysis, and related topics.
Course Objectives
The goal of this course is to teach formulating and solving complex optimization problems via linear programming models. It aims to teach the graphical method and simplex algorithm and also cover sensitivity analysis and duality to illustrate how a given solution can be utilized to gain a more general understanding of the analyzed scenario under different conditions. Applications of linear programming to some fundamental problems such as transportation, assignment and transshipment problems are also presented.
Course Learning Outcomes
Upon successful completion of this course, students will be able to
1. Formulate deterministic continuous optimization problems with a single objective as a linear program,
2. Solve small problems with the simplex method,
3. Translate a given linear program into dual form,
4. Interpret the dual of a given linear program,
5. Perform sensitivity analysis on the optimum solution of a given linear program,
6. Evaluate the characteristics of the transportation, assignment and transshipment problems.
Learning Activities and Teaching Methods:
Telling/Explaining
Discussion/Debate
Questioning
Reading
Problem Solving
Inquiry
Collaborating
Brainstorming
Assessment Methods and Criteria:
Test / Exam
Quiz
Case Studies / Homework
Assessment Methods and Criteria Others:
ALEs
Recommended Reading
1. Hillier F.S. and Lieberman G.J. (2010), Introduction to Operations Research (9th edition), McGraw-Hill
2. Taha, H.A. (2007), Operations Research (8th edition), Prentice Hall
Required Reading
Winston W. L. (2004), Operations Research (4th edition), Duxbury
Learning Activities and Teaching Methods Others:
Course Coordinator:
Elif Zeynep Serper
Student Workload:
| Workload |
Hrs |
| Lectures |
42 |
| Course Readings |
35 |
| Exams/Quizzes |
75 |
| Total |
152 |
Course & Program Learning Outcome Matching:
