Problem 3
Recall the following standard linear programming form described in lecture:
min cx
st
Ax > b
x>0
Convert the following linear program to this form:
max 3q + 6r 7s
st
q + 2r > -4
2.5 q - r > 7
q + r = -4
q>0
s>0
Specifically, write out the formul

IOE310 Fall 2015
Problem Set 3
Information:
Problem set 3 is due Wednesday September 30, 2015 by 9am. No late assignments
will be accepted.
Homework must be uploaded to CTools.
This homework assignment must be typed. Hand-written homework will not be
grad

IOE 310
1
Problem Set 3
Fall 2015
Solution
What is one of your favorite ways to spend a free hour or two when you get time to relax?
I enjoy going to hot vinyasa yoga at Center for Yoga - it also helps me get super zen for exams!
2
Solution
Under what con

IOE310 Fall 2015
Problem Set 12
Information:
Problem Set 12 is due Monday December 14, 2015 by 9am. No late assignments
will be accepted.
Homework must be uploaded to Canvas. It can be hand-written and scanned.
Students may work together, but should each

IOE 310
1
Problem Set 5 Solution
Fall 2015
Solution
What is one of your favorite restaurants in Ann Arbor?
Rich J.C. on South U - I love Korean food!
2
Solution
Are you allowed to bring a cheat sheet to the exam? If yes, what size and what can it contain?

IOE 310 Homework Number 5 Due: October 16, 2007 1. Consider the Linear Programming Problem: Min z = x1 2x1 x1 x1 0 + + + x2 3x2 3x2 x2 0 + + + 2x3 x3 3x3 x3 0 7 3
(a) Using the formulas derived in class, derive the tableau associated with the b

IOE 310 Winter 2007 Final Exam
April 13, 2007
Name: Instructions This is a closed book, closed notes exam. You may use one double sided 8 11 inch note sheet and calculator during the exam. Note that not all problems carry the same weight. There

IOE310 Midterm Exam February 21, 2007
Name:_
Instructions This is a closed book, closed notes exam. You may use one double sided 8-by-11 "note sheet" and calculator during the exam. There are four problems in the exam and 12 pages (including t

IOE310: Introduction
to Optimization
Wednesday, November 11, 2015
Problem Modification
Professor Amy Cohn
1
Announcements
Lab 7 is due on Thursday at 9am
Putting together practice problems for exam,
logistics, watch for announcements, be sure you
read the

IOE310: Introduction
to Optimization
Wednesday, September 30, 2015
Network Flow Problems
Professor Amy Cohn
1
Announcements
Problem Set 4 will be posted soon and is due
next Wednesday at 9am
Lab 2 is due on Thursday at 9am
Be sure you are reading the Canv

IOE310: Introduction
to Optimization
Monday, September 28, 2015
Knapsack and Set Partitioning Problems
Professor Amy Cohn
1
Announcements
Problem Set 3 is due on Wednesday at 9am
Lab 2 is due on Thursday at 9am
Lots of announcement sent out this weekend,

IOE310: Introduction
to Optimization
Monday, September 21, 2015
Integer and Binary Programs
Professor Amy Cohn
1
Announcements
Problem Set 2 has been posted and is due on
Wednesday at 9am
Lab 1 is due on Thursday at 9am
Typed vs hand-written documents
How

IOE310: Introduction
to Optimization
Wednesday, September 23, 2015
Binary Programs
Professor Amy Cohn
1
Announcements
Problem Set 2 was posted at 9am this morning Wednesday
Lab 1 is due on Thursday at 9am
Reminder:
You
must go to your assigned lab
You m

IOE310: Introduction
to Optimization
Monday, December 14, 2015
Integer Programming and Semester Wrap-Up
Professor Amy Cohn
1
Announcements
PS 12 not due until Wed at 9am
Grades will be posted by Friday
I will be traveling and unable to answer emails
about

More on Branch and Bound
Professor Amy Cohn, IOE310
December 2015
Binary Case
[See the attached pdf scan]
These notes and associated diagram walk you through a fictitious binary program (i.e. Im making up
numbers as I go along to demonstrate the point!).

IOE310: Introduction
to Optimization
Monday, December 7, 2015
Complementary Slackness Quiz, Integer
Programming
Professor Amy Cohn
1
Announcements
Exam re-grades due by the end of class
See announcements in Canvas for schedule the
rest of the semester, in

IOE310: Introduction
to Optimization
Wednesday, October 7, 2015
Network Flow Problems, Graphical Approach,
BFS Method, Motivation for Simplex
Professor Amy Cohn
1
Announcements
Problem Set 5 is due WEDNESDAY at 9am
Lab 4 is due on Thursday at 9am
Tuesday

IOE310: Introduction
to Optimization
Monday, October 5, 2015
Network Flow Problems
Professor Amy Cohn
1
Announcements
Problem Set 4 is due Wednesday at 9am
Lab 3 is due on Thursday at 9am
Be sure you are reading the Canvas
announcements
2
Internship Oppor

IOE310: Introduction
to Optimization
Wednesday, October 7, 2015
Network Flow Problems, Graphical Approach,
BFS Method, Motivation for Simplex
Professor Amy Cohn
1
Announcements
Problem Set 4 is due FRIDAY at 9am
Lab 3 is due on Thursday at 9am
Be sure you

IOE310: Introduction
to Optimization
Wednesday, September 23, 2015
Binary Programs
Professor Amy Cohn
1
Announcements
Problem Set 2 was posted at 9am this morning Wednesday
Lab 1 is due on Thursday at 9am
Reminder:
You
must go to your assigned lab
You m

IOE310: Introduction
to Optimization
Wednesday, September 9, 2015
Intro. to Optimization and Linear Programming
Professor Amy Cohn
1
Course Objective
This course is about decision making in
complex systems. We will focus on
developing mathematical models

Shortest Paths - Faster
Viswanath Nagarajan
Guest lecture IOE 310
11/2/2015
Recap Shortest Path Problem
b
d
6
2
1
1
1
s
c
2
t
4
1
4
a
3
Network with nodes and arcs
Distance for each arc
Start node s
End node t
e
Find path from s to t of minimum distance
2

IOE 310 HOMEWORK 4 SOLUTION
Problem 1
Your personal prediction.
Problem 2
The answer is up to your lab section.
Problem 3
(a)
Data:
(1) Time period t = 1, ., M .
(2) Demand quantity in each time st , t = 1, ., M .
(3) Unit production cost at period t pt ,

IOE 310 HOMEWORK 2 SOLUTION
Problem 1
Your personal information. Hopefully you all get this correct!
Problem 2
12 homework assignments. 2 skips are allowed for both homework and lab. 30 percentages in total.
Problem 3
4/3 5/3
(a)
1/3 2/3
2 0 4 1 0
(b) 0 1

Microsoft Excel 15.0 Answer Report
Worksheet: [Book1]hw10_q3
Report Created: 3/21/2015 6:40:23 PM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: Simplex LP
Solution Time: 0.016 Seconds.
Iter