Course description

KTH School of Electrical Engineering offers a post-graduate course on mathematical models for maintenace optimization.

The course aims to give an overview of an important type of mathematical models for maintenace optimization and the associated mathematical machinery – optimization theory and algorithms. The course is a two day course, consisting of a theoretical lecture series (day 1) and a second day devoted to a practical study of a maintenance optimization model, including a project assignment. The two days end with a presentation session. Following the two days the students will write a summary on the course and the projects. Details regarding the two course days are given below.

Course schedule

Time and place
2006-10-16 - 2006-10-17, 8:00-17:00, KTH School of Electrical Engineering, Teknikringen 33, Seminarierummet.

Day 1: Linear and integer programming; introduction to AMPL/CPLEX

Linear programming: modelling; polyhedral convex analysis and linear algebra; the simplex method; duality [8–11:00]
Integer programming: modelling; complexity; polynomially solvable integer programs; classic algorithms [11:00-11:30,12:30–14]
Introduction to AMPL and Cplex for the solution of linear and integer programs [14–15]
Computer exercises with AMPL and Cplex [15–17]

Day 2: Mathematical models for opportunistic maintenance management; project work

Maintenance operations for aircraft engines at Volvo Aero Corporation: from practice to a mathematical model [8–11:30]
Introduction to the project assignments [12:30–14]
Project work [14–16]
Presentation of results; summary remarks [16–17]

Course material

The course material includes handouts of lecture notes and a short AMPL/Cplex manual. Recommended reading material before the course include the two licentiate theses by Niclas Andréasson and Johan Svensson, and two practical reports (in Swedish) by the former. Further, the book “Integer Programming” by Lawrence Wolsey is a good basis for further studies of the mathematical subject of integer and combinatorial optimization. The course material can be found here.

Course examination

A written one-page computer exercise report.
A written ten to fifteen page project report.
A written five-page summary of the course and the project.

Course lecturer and examiner

Professor Michael Patriksson, mathematics, Chalmers, is the main lecturer for the course.

Assistant Professor Lina Bertling, KTH School of Electrical Engineering is the course examiner.

Course responsible and contact information

Assistant Professor Lina Bertling

KTH School of Electrical Engineering

Teknikringen 33, 100 44 Stockholm

Sweden

Email; lina.bertling@ee.kth.se Phone; +46 8-790 6508.