Learning Outcomes |
PO |
MME |
The students who succeeded in this course: |
|
|
LO-1 |
Be able to construct the business problems mathematically. |
PO-13 It helps the students model their decision-making problem about life using the linear programming techniques, solve the simplex and transportation problems and interpret the outcomes in terms of technical and economical.
|
Examination |
LO-2 |
Be able to solve the linear programming (LP) models using both graphical and the Simplex methods. |
PO-13 It helps the students model their decision-making problem about life using the linear programming techniques, solve the simplex and transportation problems and interpret the outcomes in terms of technical and economical.
|
Examination |
LO-3 |
Be able to compose the dual of the primal LP model. |
PO-13 It helps the students model their decision-making problem about life using the linear programming techniques, solve the simplex and transportation problems and interpret the outcomes in terms of technical and economical.
|
Examination |
LO-4 |
Be able to analyze the sensitivity of the outputs of LP models. |
PO-13 It helps the students model their decision-making problem about life using the linear programming techniques, solve the simplex and transportation problems and interpret the outcomes in terms of technical and economical.
|
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents |
Basic properties and application fields of operations research, components and types of linear programming (LP) models, solving the LP models using both graphical and the Simplex methods, some special issues concerning the LP models, duality and sensitivity analysis will be discussed. |
Weekly Course Content |
Week |
Subject |
Learning Activities and Teaching Methods |
1 |
Definition, basic properties and application fields of operations research |
Lecturing |
2 |
Linear Programming (LP) models: Modelling |
Lecturing and Problem solving method |
3 |
Solving LP models: Graphical method |
Lecturing and Problem solving method |
4 |
Solving LP models: Simplex method (classical maximization models) |
Lecturing and Problem solving method |
5 |
Solving LP models: Simplex method (non-classical maximization models) |
Lecturing and Problem solving method |
6 |
Solving LP models: Simplex method (non-classical maximization models, big M method) |
Lecturing and Problem solving method |
7 |
Solving LP models: Simplex method (classical and non-classical minimization models) |
Lecturing and Problem solving method |
8 |
mid-term exam |
|
9 |
Some special issues in LP models |
Lecturing |
10 |
Some special issues in LP models |
Lecturing |
11 |
Duality |
Lecturing |
12 |
Duality |
Lecturing and Problem solving method |
13 |
Sensitivity Analysis |
Lecturing |
14 |
Sensitivity Analysis |
Problem solving method |
15 |
LP applications |
Problem solving method |
16 |
final exam |
|
Recommend Course Book / Supplementary Book/Reading |
1 |
Taha, Hamdy A.; Yöneylem Araştırması, (Çeviri: Ş.A. Baray; Ş. Esnaf), 6. Baskı, Literatür Yayıncılık, İstanbul, 2000. |
Required Course instruments and materials |
1. Taha, Hamdy A.; Yoneylem Arastirmasi, (Ceviri: S.A. Baray; S. Esnaf), 6. Baski, Literatur Yayincilik, Istanbul, 2000. (Main Text Book).
2. Ozturk, Ahmet; Yoneylem Arastirmasina Giris, 1. Baski, Ekin Yayinevi, Bursa, 2011.
3. Ozguven, Cemal; Dogrusal Programlama ve Uzantilari, 1. Baski, Detay Yayincilik, Ankara, 2003.
4. Sezen, Hayrettin Kemal; Yoneylem Arastirmasi, 2. Baski, Ekin Yayinevi, 2007.
5. Hillier, F. S., G. J. Lieberman; Introduction to Operations Research, 7th Edition, McGraw Hill, New York, 2001. |