Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
UUM 526
Optimization Techniques in Engineering
Spring 20152016
Problem Set I
Asst. Prof. N. Kemal Ure
Department of Aeronautics
Istanbul Technical University
Due date is March 17th.
Late homeworks can be submitted up to 2 days late with 30 penalty per da
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
UUM 526
Optimization Techniques in Engineering
Spring 20152016
Problem Set II
Asst. Prof. N. Kemal Ure
Department of Aeronautics
Istanbul Technical University
Due date is April 8th.
Late homeworks can be submitted up to 2 days late with 30 penalty per da
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
UUM 526
Optimization Techniques in Engineering
Spring 20152016
Problem Set III
Asst. Prof. N. Kemal Ure
Department of Aeronautics
Istanbul Technical University
Due date is April 28th.
1
Gradient Descent Methods
Problem 1 (15 points): Suppose that we wis
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
ECE580 Fall 2015
Solution to Problem Set 6
December 23, 2015
1
ECE580 Solution to Problem Set 6
These problems are from the textbook by Chong and Zak, 4th edition, which is the
textbook for the ECE580 Fall 2015 semester. As such, many of the problem state
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
Optimization
(SF1811 / SF1831 / SF1841)
Amol Sasane and Krister Svanberg
Department of Mathematics, Royal Institute of Technology, Stockholm
Contents
Chapter 1. Introduction
1.1. The basic problem
1.2. Minimum of a subset of R
1.3. Optimal value and optim
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
12.3
a. We form
12/2 ‘ 5.00
A: 22/2 , b: 19.5
32/2  44.0
The least squares estimate of g is then given by
_ g = (ATA)1ATb = 0.770.
b. We start with P0 = 0.040816, and 32(0) : 9.776. We have a1 = 42/2 = a, and b“) = 73.5. Using
the RLS formula, we get
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
I made mistake in class Friday when discussing the solutions of linear programs and extreme points.
Since that discussion is not in your textbook, and I made a mistake, here are some notes:
Suppose we have a linear program in standard form (note: as menti
Pamukkale University  Denizli Vocational School of Social Sciences
optimization
ELECTRONIK 526E

Spring 2016
UUM 526 Problem Set IV
Asst. Prof. N. Kemal Ure
Due date is May 22nd.
Problem 1 (15 points)
1
Problem 2 (30 points)
2
Problem 3 (20 points)
Problem 4 (10 points)
3
Problem 5 (20 points)
Problem 6 (15 points)
4