COURSE UNIT TITLE

: MATHEMATICAL MODELING &APPLICATIONS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

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 will provide information on optimization problems that arise in business and teach mathematical modeling techniques to solve them. Specifically, we will cover the LINGO optimization modeling language and how to use it to code and solve the models we develop. We will also learn how to interpret the solutions and generate solution reports.

Learning Outcomes of the Course Unit

1   Ability to create mathematical models for problems in the service and manufacturing sectors
2   Ability to solve models using the LINGO optimization modeling language
3   Ability to analyze LINGO solution reports and perform sensitivity analysis with LINGO
4   Having the competencies to work in a team, report and present projects 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 Production Planning Models
7 @WRAP, @SIZE, @IN, @INDEX, @BOUND, @GIN, @BIN Functions and Explanations with Samples
8 Goal Programming Applications
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

Main References:
LINGO, The Modeling Language and Optimizer, Lindo Systems Inc., 2020
User Manuals (lindo.com)
Optimization Modeling with LINGO by Linus Schrage
LINGO Documentation (lindo.com)
Supplementary References:
Winston W.L., Operations Research: Applications and Algorithms, 4th edition, Brooks/Cole CENGAGE Learning, 2004

Planned Learning Activities and Teaching Methods

Lecture presentations will be made regarding the course content, question-answer, discussion, problem solving and laboratory practices will be used.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 PRJ PROJECT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.25 + PRJ * 0.25 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.25 + PRJ * 0.25 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

E-mail: seyda.topaloglu@deu.edu.tr
Office Phone: +90 232 301 76 00

Office Hours

It will be announced at the beginning of the course.

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 midterm exam 1 15 15
Preparation for final exam 1 20 20
Preparation for homework 1 20 20
Midterm 1 1,5 2
Final 1 2 2
Project Final Presentation 1 1 1
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.145
LO.245
LO.34
LO.45

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

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