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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | İSL3062013222 | NUMERICAL METHODS | Compulsory | 3 | 6 | 4 |
| Level of Course Unit | First Cycle | Objectives of the Course | The aim of the course is
• to give the students basic information about the Linear programming, formulation of linear programming problems, the specific conditions in linear programming, simplex method, maximization and minimization problems, loose, artificial variables, the specific conditions, Simplex tables, sensitivity analysis, the geometric interpretation of the conjugate (dual), Transportation and Assignment models, Modi method, Vogel method, degeneration of Transportation problems, integer programming, branch and bound method, Goal Programming, Introduction to game Theory, game Theory of linear programming, Markov analysis, Theorem course topics and the Queue in Waiting Line Model
| Name of Lecturer(s) | Öğr.Gör.Aydın ÇAKMAK | Learning Outcomes | 1 | Describe the quantitative decision techniques used in decision making. | 2 | Explain similarities and differencies between decision making techniques. | 3 | Use one of the quantitative techniques to a determined problem. | 4 | Examine the appropriateness of decision according to the results of used technique. |
| Mode of Delivery | Evening Education | Prerequisites and co-requisities | Yok | Recommended Optional Programme Components | Week 1 Introduction to Linear Programming.
Week 2 Duality and Sensitivity
Week 3 Integer Linear Programming
Week 4 Goal Programming
Week 5 Deterministic Dynamic Programming
Week 6 Fundamentals of Probability
Week 7 Decision Analysis
Week 8 Mid-term Exam
Week 9 Game Theory
Week 10 Queuing Systems
Week 11 Simulation Model Building
Week 12 Markov Decision Processes
Week 13 Case Study
Week 14 Case Study.
Week 15 Case Study
Week 16 Final Exam
| Course Contents | • Descriptive statistics,
• Based on continuous and discrete distributions,
• Sampling distributions,
• Point estimation,
• Interval estimation,
• Hypothesis testing,
• One-sample-two-sample tests,
• Chi-square fit tests,
• Linear regression and correlation analysis,
• Analysis of variance,
• SPSS applications.
| Weekly Detailed Course Contents | |
1 | Simplex Method | | | 2 | Simplex Method | | | 3 | Simulation | | | 4 | Simulation | | | 5 | Game Theory | | | 6 | Game Theory | | | 7 | Markov Analysis | | | 8 | Mid-term exam | | | 9 | Network Analysis, Shortest Path | | | 10 | Network Analysis, The mininmum Spanning Tree, Maximum Flow Problems | | | 11 | Project Management, Project Evaluation and Review Technique (PERT)/ Critical Path Method (CPM) | | | 12 | Project Management, Project Evaluation and Review Technique (PERT)/ Critical Path Method (CPM) | | | 13 | Queuing Theory (waiting line models), Queue discipline, Single-channel waiting line models | | | 14 | Waiting line models, Multiple-channel waiting line models, Economic analysis of waiting lines | | | 15 | Review | | | 16 | End-of-term exam | | |
| Recommended or Required Reading | TİMOR, M., 2001;Yöneylem Araştırması ve İşletmecilik Uygulamaları, İstanbul Üniversitesi, İstanbul | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | Yok |
| Workload Calculation | |
Midterm Examination | 1 | 1 | 1 | Final Examination | 1 | 1 | 1 | Attending Lectures | 14 | 3 | 42 | Self Study | 14 | 3 | 42 | Individual Study for Mid term Examination | 1 | 10 | 10 | Individual Study for Final Examination | 1 | 10 | 10 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 3 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | | 1 | 3 | 4 | 4 | 2 | 4 | 1 | | 4 | 2 | 2 | LO2 | 3 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | | 1 | 3 | 4 | 4 | 2 | 4 | 1 | | 4 | 2 | 2 | LO3 | 3 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | | 1 | 3 | 4 | 4 | 2 | 4 | 1 | | 4 | 2 | 2 | LO4 | 3 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | 4 | 4 | 2 | | 1 | 3 | 4 | 4 | 2 | 4 | 1 | | 4 | 2 | 2 |
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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