# Optimization in Engineering (V2/Ü1)

Over the last two decades important problems of modern communication technology have been solved by means of optimization methods. In this lecture the associated theory and solving methods are provided. They will be demonstrated in a multitude of active examples from information theory and communication technology, e.g., power adaptation in mobile networks and rate adaptation for multiple access networks. Key aspects will be modeling, convex optimization, Lagrange duality, and Karush-Kuhn-Tucker conditions.

## Dates

Lecture Dates (Campus)

Exercise Dates (Campus)

Exam Dates (Campus)

## L2P

Every participant should sign up for the L2P room of this lecture: Optimization in Engineering (L2P).

## Exam

The time slots for the oral exam on 26 July and 25 September have been allocated.

~~The exam on 26 July will take place at TI, which is located at Walter Schottky-Haus.
Go to the secretary's office when you arrive.~~

The exam on 25 September will take place at the office of Prof. Anke Schmeink, which is located at UMIC Research Centre, Room 103, Mies-van-der-Rohe Str. 15.

## Script and Handouts

Optimization in EngineeringHandout Chapter 1

Handout Chapter 2

Handout Chapter 3 (updated 22 May 2012)

Handout Chapter 4

Handout Chapter 5

## Literature

S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004

D.P. Bertsekas, Convex Analysis and Optimization, Athena Scientic, 2003

M.S. Bazaraa, H.D. Sherali, C.M. Shetty, Nonlinear Programming, Theory and Algorithms, Wiley, 2006

M. Chiang, Geometric Programming for Communication Systems, now Publishers, 2005

A.W. Roberts and D.E. Varberg, Convex Functions, Academic Press, 1973

D.G. Luenberger, Optimization by Vector Space Methods, Wiley, 1969

## Homework

- Homework 01, Solution 01
- Homework 02, Solution 02
- Homework 03, Solution 03
- Homework 04, Solution 04
- Homework 05, Solution 05
- Homework 06, Solution 06
- Homework 07, Solution 07
- Homework 08, Solution 08
- Homework 09, Solution 09 (updated solution, 12 July 2012)
- Homework 10, Solution 10
- Homework 11, Solution 11
- Homework 12, Solution 12

## Consultation hour

Prof. Dr. R. Mathar Mi. von 09:00 - 10:00

Dipl.-Math. Simon Görtzen on request

Dipl.-Ing. Markus Rothe on request