Code | Name of the Course Unit | Semester | In-Class Hours (T+P) | Credit | ECTS Credit |
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UIT320 | OPERATIONS RESEARCH | 5 | 3 | 3 | 5 |
GENERAL INFORMATION |
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Language of Instruction : | Turkish |
Level of the Course Unit : | BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Type of the Course : | Elective |
Mode of Delivery of the Course Unit | - |
Coordinator of the Course Unit | Assoc.Prof. BÜLENT İLHAN |
Instructor(s) of the Course Unit | |
Course Prerequisite | No |
OBJECTIVES AND CONTENTS |
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Objectives of the Course Unit: | The objective of this course is to teach modeling and decision making concept in operations research, general methodologies and solution procedures. At the end of the course, students will be able to analyze the problems of business management and produce solutions by using this information. |
Contents of the Course Unit: | Contents of the course include; introduction to numerical methods in decision making, formulation in linear programming and graphical solution method, linear programming applications, sensitivity analysis in graphical solution, algebraic solution in linear programming (Simplex Method), special cases in simplex method, duality and sensitivity analysis in linear programming, transportation in linear programming model, assignment model and transport model. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
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Apply model formulation and decision making approach to business problems. (Bloom 3) |
Define the concept of optimization. (Bloom 1) |
Solve business problems using linear models and linear programming. (Bloom 3) |
Apply linear models of real life problems and the best solutions of these models (Bloom 3). |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
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Week | Preparatory | Topics(Subjects) | Method |
1 | Reading and literature review | Introduction to Numerical Methods in Decision Making; Explaining the Scientific and Artistic Aspects of Operations Research; Steps in Operations Research Study | Narration, discussion |
2 | Reading and literature review | Formulation and Graphics in Linear Programming Solution Method; Investigation of the Process of Establishment of a Mathematical Model; Setting up a linear programming model of a simple case and making a graphical solution of the model and explaining the graphical solution procedure | Narration, discussion |
3 | Reading and literature review | Examination of some special cases in Graphical Solution procedure | Narration, discussion |
4 | Reading and literature review | Linear Programming Applications and formulation of problems; Production planning; establishment of linear programmatic models on different topics such as product mix, staff assignment, portfolio selection | Narration, discussion |
5 | Reading and literature review | Sensitivity Analysis in Graphical Solutions, Sensitivity Analysis for Right Side Values, Solution for Right Side Change, Changes in Objective Function Coefficients | Narration, discussion |
6 | Reading and literature review | Algebraic Solution in Linear Programming (Simplex Method), Standard Form and Basic Solution of a DP Model; Explanation of the characteristics of the standard DP model; Determination of Basic Solution | Narration, discussion |
7 | Reading and literature review | Algebraic Solution in Linear Programming (Simplex Method); Introduction to Simplex Method and Explaining the calculation details of the simplex algorithm; | Narration, discussion |
8 | - | MID-TERM EXAM | - |
9 | Reading and literature review | Artificial Start Solution; Explanation of the M Technique (Penalty Method); Two-Stage Method | Narration, discussion |
10 | Reading and literature review | Special Cases in Simplex Method Applications: Degeneration; Alternative optimum solution; Unbounded solution and non-feasible solution | Narration, discussion |
11 | Reading and literature review | Duality and Sensitivity Analysis in Linear Programming, Definition of Dual Problem; The relationship between optimal primal and dual solutions; Economic Interpretation of Duality | Narration, discussion |
12 | Reading and literature review | Dual Simplex Method; Primal-Dual Calculations; Sensitivity Analysis; Changes affecting the feasibility; Changes affecting optimum | Narration, discussion |
13 | Reading and literature review | Transportation Model in Linear Programming; Formulation of the Transportation Model as a Linear Model, Explanation of Transportation Algorithm; Starting Solution Determination Methods | Narration, discussion |
14 | Reading and literature review | Optimum Solution of Transportation Model and Explanation of Multiplier Method with Simplex Method | Narration, discussion |
15 | Reading and literature review | Optimum Solution of Transportation Model and Explanation of Multiplier Method with Simplex Method | Narration, discussion |
16 | - | FINAL EXAM | - |
17 | - | FINAL EXAM | - |
SOURCE MATERIALS & RECOMMENDED READING |
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Taha, H.A. (2003), Yöneylem Araştırması, (Çev), İstanbul: Literatür Ders Kitapları Yayın Evi. |
Ulucan, A. (2007), Yöneylem Araştırması, (2. Baskı), Ankara: Siyasal Kitabevi |
Öztürk, A. (2016), Yöneylem Araştırması, (16. Baskı), Ekin Basın Yayın |
Hillier, F. S. (2014), Introduction to Operation Research, (10. Edition), McGraw Hill |
ASSESSMENT |
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Assessment & Grading of In-Term Activities | Number of Activities | Degree of Contribution (%) | Description |
Level of Contribution | |||||
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0 | 1 | 2 | 3 | 4 | 5 |
KNOWLEDGE |
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Theoretical |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Define the basic concepts of economics, administrative and human sciences. (Bloom 1)
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2 |
Evaluate the economic environment and overall sustainability of firms. (Bloom 4)
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KNOWLEDGE |
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Factual |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Relate principles and concepts of economics and finance with other disciplines. (Bloom 4)
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2 |
Define principles, concepts, methods and theories related with economics and finance. (Bloom 1)
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SKILLS |
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Cognitive |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Interpret the charts and tables related to the field. (Bloom 2)
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SKILLS |
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Practical |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Evaluate the theoretical models of economic policies which have direct or indirect effects by using the facts and dynamics of the economic system.(Bloom 4)
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2 |
Analyze economic and financial reports. ((bloom 4)
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3 |
Use basic mathematics, statistics and econometric methods and tools to solve economic and financial problems. (Bloom 3)
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4 |
Interpret the operation of current economic, political and social events by using institutional information related with Economics and Finance.(Bloom 2)
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OCCUPATIONAL |
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Autonomy & Responsibility |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Organize economic and financial activities in humanitarian and social terms with adherence to ethics. (Bloom 4).
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OCCUPATIONAL |
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Learning to Learn |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Develop a critical perspective on national and international economic, political, social, financial and development problems. (bloom 6)
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OCCUPATIONAL |
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Communication & Social |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Follow the agenda on economics, politics and social issues and improve himself/ herself. (bloom 6)
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OCCUPATIONAL |
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Occupational and/or Vocational |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Analyze current issues and problems by using the structure and properties of Macro and Microeconomics and variables. (Bloom 4)
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2 |
Evaluate the effectiveness of the general economic system and public policies and their effects on markets and basic economic variables.(Bloom 4)
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3 |
Analyze the cause and effect relationships between the relevant economic variables. (Bloom 4)
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4 |
Evaluate the expected trends and portfolio analyzes in interest and exchange rates within the framework of the general financial system. (Bloom 4)
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WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
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Workload for Learning & Teaching Activities |
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Type of the Learning Activites | Learning Activities (# of week) | Duration (hours, h) | Workload (h) |
Lecture & In-Class Activities | 14 | 3 | 42 |
Preliminary & Further Study | 14 | 2 | 28 |
Land Surveying | 0 | 0 | 0 |
Group Work | 0 | 0 | 0 |
Laboratory | 0 | 0 | 0 |
Reading | 0 | 0 | 0 |
Assignment (Homework) | 0 | 0 | 0 |
Project Work | 0 | 0 | 0 |
Seminar | 0 | 0 | 0 |
Internship | 0 | 0 | 0 |
Technical Visit | 0 | 0 | 0 |
Web Based Learning | 0 | 0 | 0 |
Implementation/Application/Practice | 0 | 0 | 0 |
Practice at a workplace | 0 | 0 | 0 |
Occupational Activity | 0 | 0 | 0 |
Social Activity | 0 | 0 | 0 |
Thesis Work | 0 | 0 | 0 |
Field Study | 0 | 0 | 0 |
Report Writing | 0 | 0 | 0 |
Final Exam | 1 | 1 | 1 |
Preparation for the Final Exam | 7 | 5 | 35 |
Mid-Term Exam | 1 | 1 | 1 |
Preparation for the Mid-Term Exam | 5 | 4 | 20 |
Short Exam | 0 | 0 | 0 |
Preparation for the Short Exam | 0 | 0 | 0 |
TOTAL | 42 | 0 | 127 |
Total Workload of the Course Unit | 127 | ||
Workload (h) / 25.5 | 5 | ||
ECTS Credits allocated for the Course Unit | 5,0 |