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 3947 MATHEMATICAL MODELING AND APPLICATIONS ELECTIVE 3 0 0 5

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 course aims to demonstrate how mathematical modeling can be practically applied to decision-making processes in the service and manufacturing sectors. Furthermore, it aims to provide instructions on how to solve these models using the LINGO optimization program.

Learning Outcomes of the Course Unit

1   Ability to create mathematical models for problems in the service and manufacturing sectors
2   Ability to solve problems 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

END 3525 - OPERATIONS RESEARCH I

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to Mathematical Modeling, Introduction of LINGO Optimization Program
2 Analysis of LINGO Solution Reports, Unbounded/Infeasible/Degenerate Solutions, Slack/Surplus Values, Shadow Prices/Reduced Costs
3 Sensitivity Analysis and LINGO Applications
4 Different Models According to LINGO Set Types - 1 (Shift Scheduling, Working Days Scheduling, PERT, CPM, Matching, Assignment Problems)
5 Different Models According to LINGO Set Types - 2 (Shift Scheduling, Working Days Scheduling, PERT, CPM, Matching, Assignment Problems)
6 Product Mix and Product Mix Process Selection Problems
7 Facility Layout, Transportation and Transhipment Problems
8 Shortest Path, Maximum Flow, Minimum Spanning Tree Problems
9 Assembly Line Balancing Problems - 1
10 Assembly Line Balancing Problems - 2
11 Set Covering, Cutting Stock, Column Generation Models and Applications - 1
12 Set Covering, Cutting Stock, Column Generation Models and Applications - 2
13 Machine Scheduling Problems - 1
14 Machine Scheduling Problems - 2

Recomended or Required Reading

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

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 ASG ASSIGNMENT
4 FIN FINAL EXAM
5 FCG FINAL COURSE GRADE MTE * 0.20 + QUZ * 0.15 + ASG * 0.25 + FIN * 0.40
6 RST RESIT
7 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.20 + QUZ * 0.15 + ASG * 0.25 + RST * 0.40


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)

Prof. Dr. Şeyda A. Yıldız
e-mail: seyda.topaloglu@deu.edu.tr
Tel: (0232) 301 76 00

Office Hours

Will be announced later.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 15 15
Preparation for final exam 1 25 25
Project Preparation 1 25 25
Preparation for quiz etc. 2 2 4
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 115

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.122
LO.222
LO.32
LO.45423

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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