ECE 307
Prof. George Gross
Spring 2014
Homework 1
Date due: Tuesday, January 28, 2014
1.
Read Chapter 1 in Ravindran.
2.
Read Chapter 1 in Clemen.
You need to hand in the solutions to the following si
ECE 307 HW2 Solution (Spring 2014)
Problem 1
Problem 2
The addition of a constant, K, to the objective function does not affect the optimal solution.
However, the optimal value will increase (or decre
ECE 307
Homework 3 Solutions
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
2006 2012 George Gross, University of Illinois at Urbana-Champai
ECE 307
Prof. George Gross
Room 339 Everitt Lab
Spring 2014
Homework 3
Date due: Thursday, February 13, 2014
Some of the problems in this assignment are rather challenging. Indeed, these are the most
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 4
Date due: Tuesday, February 18, 2014
1. Place each of the following LPs into standard form and define the corresponding A,
b and
ECE 307
Prof. George Gross
Spring 2015
Homework 1
Date due: Thursday, January 29, 2015
A.
Reading assignment
B.
Read Chapter 1 in Ravindran.
Read Chapter 1 in Clemen.
Problem solutions
You need to han
ECE 307 Homework 7 Solutions
Problem 1
10.11 Ravindran
Problem 2
10.12 Ravindran
Problem 3
10.14 Ravindran
Problem 4
10.16 Ravindran
Problem 5
10.25 Ravindran
ECE 307 HW4 Solution
Q2.
The sequence of solutions P1, P7, and P6 could not be generated because P1 and P7 are not ADJACENT
basic feasible solutions. To solve the LP problem using simplex, one of the
ECE 307 Techniques for Engineering
Decisions
9. Basic Probability Review
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
ECE 307 2005 - 2014 G
ECE 307 Techniques for Engineering
Decisions
11. Probability Distributions
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
2006 2014 George G
ECE 307 Techniques for Engineering
Decisions
12. Data Uses
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
2006 2014 George Gross, University
ECE 307 Techniques for Engineering
Decisions
7. Dynamic Programming
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
ECE 307 2005 - 2014 George
CASE STUDY ,4
Linear Programming Utilization at Reliable Battery:
Improving Acceptance of Quantitative Tools
Thomas W. Jones, William C. House, and Joseph W. Leonard
INTRODUCTION
Larry Miner, Producti
CASE STUDY 5
PROBLEM STATEMENT
Introduction
The Philo Pharmaceuticals Company is a major distributor of pharmaceutical products in
Philadelphia and the surrounding area. The company consists of a cent
THE SIMPLEX TABLEAU
D Since 61> 0, the basic feasible solution is non-
optimal
D We examine how to bring x, into the basis
THE SIMPLEX TABLEAU
D The variable x. enters the basis with the value
m
' ' '1 ble to assess to
d 5 (beyond the scope of Making Hard Deaswns) are aval a
. . e n o
Stating: (Eras: fllrof the normal distr1bution to the data.
goo
c. The normal distrlbuhon probab11ity is not
ECE 27lGG
15
Tcfw_OMEWORK
SOLUTIONS
L2.7.Ihe decision tree for parts a and c:
Strikeoil
K
$190
EMV= $10 K
Drill
Don't drill
K
$190
Consult
cl
Strikeoil
Don't
drill
EMV= $19 K
-$10 K
drill
Don't
a.Thee
ECE 307 Techniques for Engineering
Decisions
10. Basic Probability: Case Studies
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
2006 2014 Ge
ECE 307 Techniques for Engineering
Decisions
8. Review of Combinatorial Analysis
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
2006 2014 Ge
ECE 307 Techniques for Engineering
Decisions
6. Transshipment and Shortest Path Problems
George Gross
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
ECE 3
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 5
Date due: Tuesday, February 25, 2014
1. Problem 4.23 in Ravindran, p.214
2. Problem 4.13(a) in Ravindran, p.210
3. Problem 4.15 i
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 8
Due Date: Thursday, March 20, 2014
1. Read Clemen Chapters 1 through 6 on your own. Pay attention to both the concepts
introduced
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 9
Due Date: Thursday, April 3, 2014
Problems 15, 19, 20, 24, 27, 32, and 33 in Chapter 7 in Clemen, pp. 253 257.
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 7
Date due: Thursday, March 6, 2014
Problems may be solved in groups of no more than 4 persons
1. Problem 10.11, p. 481 in Ravindra
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 10
Due Date: Thursday, April 17, 2014
1. Read Chapter 9 of Clemen.
2. Problems 13, 14, 21 [omit part d], 24, 26, 33, and 34 from Ch
ECE 307
Spring 2014
Prof. George Gross
Room 339 Everitt Lab
Homework 11
Due Date: Thursday, May 1, 2014
1. Read Chapter 11 of Clemen.
2. Problems 6, 8, 9, 10, and 11 [specify the steps you plan to tak
ECE 307 HW 6 Solutions
1)
2)
4)
5)
6)
7)
The diagraph is acyclic because every arc
goes from a lower to a higher - numbered
Problem 8
3.16 Ravindran
Problem 9
3.17 Ravindran
Problem 10
3.18 Ravindran
gCE 271GG
Homework?
ECE 307 - Homework 9 Solutions
Solutions
Solutions
7.1. We often have to make decisions in the face of uncertainty. Probabilitv is a formal wav to
cope with and rnodel that uncerta