Week |
Subject |
Related Preparation |
1) |
Introduction to Numerical Methods in Decision Making; Revealing the Scientific and Artistic Aspects of Operations Research; Examining the Concept of Decision Making and Model; Steps in an Operations Research Study |
Lecture Notes |
2) |
Formulation and Graphical Solution Method in Linear Programming; Examining the Process of Establishing a Mathematical Model; Establishing a Linear Programming Model of a Simple Case and graphically solving the model and explaining the graphical solution procedure |
Lecture Notes |
3) |
Examination of some special situations encountered in the Graphical Solution procedure; Linear Programming Applications and formulation of problems; Production planning; Establishing linear programming models on different issues such as product mix, personnel assignment, portfolio selection |
Lecture Notes |
4) |
Sensitivity Analysis in Graphical Solution; Sensitivity analysis for right side values; Solution for right side change; Changes in objective function coefficients |
Lecture Notes |
5) |
Algebraic Solution in Linear Programming (Simplex Method); Standard Form and Basic Solution of an LP Model; Explanation of the features of the standard DP model; Determining the Basic Solution |
Lecture Notes |
6) |
Algebraic Solution in Linear Programming (Simplex Method); Introduction to the Simplex Method Explanation of the calculation details of the Simplex algorithm |
Lecture Notes |
7) |
Artificial Start Solution; Explanation of M Technique (Punishment Method); Two-Step Method |
Lecture Notes |
8) |
Midterm Exam 1 / Practice or Topic Review |
Lecture Notes |
9) |
Artificial Start Solution; Explanation of M Technique (Punishment Method); Two-Step Method: Laboratory Time (GAMS) |
Lecture Notes |
10) |
Transportation Model in Linear Programming; Definition of Transportation Model; Formulating the Transportation Model as a Linear Model |
Lecture Notes |
11) |
Explaining the Transportation Algorithm; Initial Solution Determination Methods; Transport method |
Lecture Notes |
12) |
Assignment Model and Solution Method |
Lecture Notes |
13) |
Integer Linear Programming; Solution Methods; Branch and Bound Algorithm |
Lecture Notes |
14) |
Integer Linear Programming; Solution Methods; Branch and Bound Algorithm |
Lecture Notes |
15) |
Final |
Lecture Notes |
Course Notes / Textbooks: |
Taha H.A., Operations Research: An Introduction.,7th edition, Pearson Education Inc. Winston, W.L., Operations Research: Applications and Algorithms, Brooks/Cole, Cengage Learning Hillier, F.S. and Lieberman,G.J., Introduction to Operations Research, McGraw Hill International Edition |
References: |
Taha H.A., Operations Research: An Introduction.,7th edition, Pearson Education Inc. Winston, W.L., Operations Research: Applications and Algorithms, Brooks/Cole, Cengage Learning Hillier, F.S. and Lieberman,G.J., Introduction to Operations Research, McGraw Hill International Edition |
|
Program Outcomes |
Level of Contribution |
1) |
Adequate knowledge in mathematics, science, and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. |
2 |
2) |
An ability to detect, identify, formulate, and solve complex engineering problems; the ability to select and apply appropriate analysis and modelling methods for this purpose. |
3 |
3) |
An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. |
1 |
4) |
An ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems in engineering applications. |
2 |
5) |
An ability to use information technologies effectively. |
3 |
6) |
Ability to design, conduct experiments, collect data, analyse, and interpret results to investigate complex engineering problems or discipline-specific research topics. |
2 |
7) |
Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. |
2 |
8) |
Ability to communicate effectively in oral and written Turkish. |
3 |
9) |
Knowledge of at least one foreign language. |
2 |
10) |
Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instructions. |
3 |
11) |
Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology and ability to renew themselves. |
2 |