COURSE UNIT TITLE

: MATHEMATICAL MODELING AND APPLICATIONS

DEGREE PROGRAMMES

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

This course illustrates how mathematical modeling is applied to decision making processes in services and manufacturing. The students will be aware of the current problems and issues in industry and the focus will be on the required determistic models for their optimum solutions. The course takes place in a computer lab where programming LINGO is illustrated. The developed models are solved via LINGO and solution reports are analyzed thereafter.

Learning Outcomes of the Course Unit

1   To know the application areas of mathematical modelling and identify different problems
2   To be able to develop deterministic models
3   To be able to solve the problems using LINGO optimization modeling language
4   To be able to perform sensitivity analysis using LINGO and analyze the effects of changes on the optimum solutions
5   To be able to analyze LINGO solution reports

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

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


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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 11 3 33
Preparations before/after weekly lectures 11 1 11
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) 103

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.143553
LO.2544
LO.35
LO.45
LO.554

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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