Optimization methods [grd1mo]

Programme
Civil Engineering
Study type
Doctoral Studies
Teachers
Course status
optional
ECTS
8.5
Required courses
# active classes - per week
Lectures
Exercises
Other
Personal research activity
4
0
0
2
Teaching methods

Theoretical classes are taught through auditory lectures with presentation technology.

Practical classes are conducted through independent development task.

By preparаtion of seminar work students show the abilityto use optimization methods.

Grading scheme - max. 100 points
Colocviums
Semestral work
Oral exam
Written exam
Other
0
40
30
0
30
Aim

Introduction to methods of optimization and decision-making. The application is illustrated by examples of solving optimization tasks in civil engineering and geodesy. Preparing students for solving problems of optimization of the real system engineering problems.

Outcome

Knowledge of the optimization methods. Competence of students to apply the methods to solve real engineering optimization tasks.

Contents

Introduction. The objectives. Basic concepts. Introduction to optimization. Overview of the methods of optimization. Optimization methods in discrete space. Introduction to graph theory. Methods for graph search. Minimum spanning tree, finding the shortest path, determining the maximum optimization methods in continuous space. Linear and nonlinear programming. Multi-criteria optimization. Review of methods for mulit-criterial optimization. A compromise solution. Examples of methods for multiple criteria optimization. Methods of global optimization. Genetic algorithms.
Formulation of tasks for seminar papers.

Literature

1.   Scripts prepared in the form of detailed presentation of the lectures and exercises.

2.   S. Rao, Engineering Optimization Theory and Practice, Wiley, 2009.

3.   Xin-SheYang, Engineering OptimizationAn Introduction with Metaheuristic Applications, Wiley 2010.

4.   Opricović Serafim, Multi-criterial optimization in civil engineering, Faculty of Civil Engineering, 1998.

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