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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS IND 3907 MATHEMATICAL MODELING AND APPLICATIONS ELECTIVE 3 0 0 4

Offered By

Industrial Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ŞEYDA AYŞE YILDIZ

Offered to

Industrial Engineering

Course Objective

The aim of the course is to show how mathematical modeling is applied in the decision-making processes in the service and manufacturing sector and to ensure the use of the Lingo Optimization Software in the solution of the models developed.

Learning Outcomes of the Course Unit

1   To be able to create mathematical models for problems in the service and manufacturing sector 2   To be able to solve problems using the LINGO Optimization Modeling Language 3   To be able to analyze LINGO solution reports and to perform sensitivity analysis with LINGO 4   To have the competence of working, project reporting and presenting by taking part in an optimization project

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Introduction to Mathematical Modeling and LINGO Optimization Software 2 Analysis of LINGO Solution Reports, Unbounded/Infeasible/Degenerate Solutions, Slack/Surplus Values, Shadow Prices/Reduced Costs 3 Sensitivity Analysis and LINGO Applications 4 Use of Sets in LINGO, Types of Sets, @SUM, @MIN, @MAX, @FOR Set Looping Functions, DATA Inputs 5 Development of Sample Models According to Set Types (Workforce, Days-On Scheduling, PERT, CPM, Matching, Assignment Problems) 6 @WRAP, @SIZE, @IN, @INDEX, @BOUND, @GIN, @BIN Functions and Explanations with Samples 7 Goal Programming Applications 8 Midterm Exam 9 Integer Programming Models (Fixed Charge, Assembly Line Balancing, Simple and Capacitated Facility Layout Problems, etc.) 10 Integer Programming Models (Set Covering, Cutting Stock, Column Generation Models and Their Applications ) 11 Integer Programming Models (Machine Scheduling, Supply Chain Modeling, Vehicle Routing, Timetable Scheduling, etc.) 12 Project Presentations 13 Project Presentations 14 Project Presentations

Recomended or Required Reading

1- Optimization Modeling with LINGO, Lindo Systems Inc., 5th Edition, 2003 2- LINGO User's Guide, LINDO Systems Inc, 2004 3- Winston W.L., Operations Research: Applications and Algorithms, 4th edition, Brooks/Cole, CENGAGE Learning, 2004

Planned Learning Activities and Teaching Methods

Lecture / Question-Answer / Discussion / Problem Solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 ASG ASSIGNMENT 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.20 + FIN * 0.50 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Assoc. Prof. Dr. Şeyda Topaloğlu, seyda.topaloglu@deu.edu.tr

Office Hours

Assoc.Prof. Dr. Şeyda Topaloğlu, Afternoons on Monday and Tuesday

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 10 3 30 Preparations before/after weekly lectures 10 1 10 Preparation for homework 1 20 20 Preparation for final exam 1 20 20 Preparation for midterm exam 1 15 15 Midterm 1 1,5 2 Final 1 2 2 TOTAL WORKLOAD (hours) 99

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 LO.1 4 5 LO.2 4 5 LO.3 4 LO.4 5