COURSE UNIT TITLE

: SELECTED TOPICS ON MATHEMATICAL PROGRAMMING

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
END 4910 SELECTED TOPICS ON MATHEMATICAL PROGRAMMING ELECTIVE 3 0 0 4

Offered By

Industrial Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ADIL BAYKASOĞLU

Offered to

Industrial Engineering

Course Objective

Introducing students several topics which are not covered in usual operational research courses. During the course basic non-linear programming theory and methods like geometric programming, topics related to multiple objective optimization and programming and some more advanced topics will be introduced.

Learning Outcomes of the Course Unit

1   An ability to derive non-linear programming models for solving the engineering problems
2   An ability to apply multi-objective optimization techniques for solving the industrial engineering problems which have more than one objective
3   An ability to use mathematical programming languages such as LINGO, ILOG OPL studio in the solution phase of the developed non-linear programming models
4   An ability to identify main concepts of non-linear programming and multi-objective optimization
5   An ability to solve design optimization problems via non-linear programming models

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Preliminary concepts in nonlinear programming
2 One and multi-dimensional unconstrained nonlinear programming
3 Multi-dimensional unconstrained nonlinear programming
4 Constrained nonlinear programming and penalty methods
5 Midterm
6 Geometric programming-1
7 Geometric programming-2
8 Applications of nonlinear programming to design optimization problems
9 Preliminary concepts in multiple objective optimization
10 Pareto optimality
11 Multiple objective optimization techniques
12 Multiple objective optimization techniques and implementation
13 Applications of multiple objective optimization to industrial engineering problems
14 Project presentations

Recomended or Required Reading

Suggested Sources for the Course: Textbook(s):
Optimization Concepts and Applications in Engineering, A.D. Belegundu, T.R. Chandrupatla, Prentice Hall, New Jersey, 1999.
Supplementary Book(s): Introduction to Engineering Design Optimization, C. Onwubiko, Prentice Hall, New Jersey, 1999.
Practical Optimization Methods with Mathematica Applications, M.A. Bhatti, Springer and Verlag, New York, 2000.
Operations Research: An Introduction, H.A. Taha, Prentice Hall, New Jersey, 2007.

Planned Learning Activities and Teaching Methods

The presentations which are prepared by using books, articles and proceedings as well as class board will be used in the scope of the course programme. Theoretical Lectures, Case studies and Projects

Assessment Methods

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


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

Further Notes About Assessment Methods

If the instructor needs to add some explanation or further note, this column can be selected from the DEBIS menu.

Assessment Criteria

Optional, if the instructor needs to add some explanation or further note, this column can be selected from the DEBIS menu.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Adil BAYKASOĞLU, Phd.
adil.baykasoglu@deu.edu.tr
Research Assistant Kemal SUBULAN, Msc.
kemal.subulan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 14 2 28
Preparation for midterm exam 1 3 3
Preparation for final exam 1 5 5
Preparing presentations 7 3 21
Final 1 2 2
Midterm 1 1,5 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.15545322223
LO.2535554322223
LO.342454322222
LO.453555422
LO.554555533224