Engineering Design Optimization, 7.5 credits

Engineering Design Optimization, 7.5 hp

6FIEI38

Course level

Third-cycle Education

Description

The course aims to provide knowledge in dealing with construction problems using modelling, simulation and optimization, where the emphasis is on the latter.

Preliminary Schedule

10th of November

10:00-10:15 Welcome to the course

10:15-11:00 Optimization and engineering

11:15-12:00 Optimization methods, gradient based, PSO, complex

12:00-13:15 Lunch

13:15-14:00 Optimization method continued

14:15-16:00 Genetic Algorithms

16:15-17:00 Exercises – Solve mathematical functions with MATLAB

11th of November

9:00-10:30 Simulation and optimization, DSM, Penalty Functions

10:45-12:00 Exercises - Simulation and optimization

12:00-13:00 Lunch

13:15-14:30 Multi-Objective Optimization

14:45-16:00 Exercises – MOO, Constraints, DSM

Project discussions

24th of November

10:00-12:00 Surrogate Models

12:00-13:00 Lunch

13:00-14:00 Exercises - Surrogate Model – Paper Airplane

14:00-15:00 Post Optimal Analysis - Multi-Criteria Decision Making, Plotting

15:15-16:00 Exercises – Post Optimal Analysis

25th of November

9:00-11:00 Multidisciplinary Optimization

11:00-12:00 Exercises – modeFRONTIER

12:00-13:00 Lunch

13:15-16:00 Exercises – modeFRONTIER

15th of December

09:30-12:00 Presentation of the projects

12:00-13:00 Lunch

13:00-15:00 Presentation of the projects

15:00-15:30 Round Up

**Register to the course by e-mail to johan.persson@liu.se

**

The number of spots is limited to 20.

Contact

Specific information

The English version has not yet been determined. The Swedish curriculum applies.

Learning outcomes

The participant should after the course:

  • Be able to formulate design problems as optimization problems.
  • Be able to handle optimization problems with several conflicting objectives
  • Understand the function and explain the difference between different optimization methods, e.g. Gradient Based search, the Complex method and Genetic Algorithms
  • Use optimization methods to solve real life engineering problems
  • Use optimization methods together with different types of simulation models

Contents

  • Engineering Design and Optimization- How can optimization support the design process?
  • Optimization methods – from traditional gradient based methods to non-gradient methods such as the Complex method, Genetic Algorithms and Particle Swarm Optimization.
  • Multi-objective optimization – How to handle problems with several conflicting objectives.
  • Handling of constraints via penalty functions.
  • Surrogate Models – How to use Design of Experiments and Surrogate Models to reduce the optimization time.
  • Post optimal analysis – How to choose a solution from a large pool of optimal solutions
  • Application examples where modeling, simulation and optimization are used to solve real world industrial problems.

Educational methods

The course consists of lectures and computer exercises during three workshops in Linköping, as well as individual project work. The scheduled time is approximately 40 hours.

Examination

Presenting an optimization project with an application of your choice, including an oral presentation and a written report.

Grading

Two-grade scale

Course literature

Examples of relevant literature. A complete list will be distributed before the course start.

  • Box M. J., A new method of constraint optimization and a comparison with other methods, Computer Journal, vol. 8, pp. 42-52, 1965.
  • Goldberg D., Genetic Algorithms in Search and Machine Learning. Reading, Addison Wesley, 1989.
  • Onwubiko C., Introduction to Engineering Design Optimization, Prentice Hall, 2000.
  • Deb K., Multi-Objective Optimization using Evolutionary Algorithms, Wiley, 2001.
  • Persson J., & Ölvander J., Design Optimization – Optimization methods with Application to Engineering Design Problems, compendium, Department of Management and Engineering, Linköping University, 2025.

General information

The course takes into account equal conditions and aims to make use of the resources that students with different backgrounds, life situations and skills add to the education

Bibliography and schedule are determined in a different order

Course evaluation must be done by the course coordinator after each course opportunity. The results of the course evaluation must be communicated to the participants and the postgraduate education council at IEI.