Introduction to optimization of systems

The operational research is an interdisciplinary branch of applied mathematics that uses methods of statistical analysis, mathematical modeling and mathematical optimization to arise optimized solutions to complex decision-making problems. Operational research object is the establishment of the maximum (the yield or profit) or the minimum (the loss, the risk, the cost) of problems in many disciplines. The concept of optimization has many applications in all branches of engineering. Finding the best path, the optimal design of structures, optimal location of dams, design water and sewage networks, organizing worksites and time scheduling and logistics, are just a few examples of the problems in which techniques of operational research have widespread application. In this course the basic principles of operational research and optimization are presented as with applications of these techniques both at research and professional level.

Objectives

This course aims to give students the basic knowledge of operational research and optimization systems specifically for Civil Engineering problems. Selected optimization methodologies and applications are presented, both at decision-making and design level.

Prerequisites

There are no prerequisites for this course.

Syllabus

Basic concepts of systems analysis Linear Programming Linear Programming with multiple constraints Special linear programming problems Integer programming Problem Transport, Transit Plug Networks Introduction to resources and non-linear programming Metaheuristics methods and algorithms Optimization in MATLAB