MATH 340: LINEAR PROGRAMMING
Sometimes called LINEAR OPTIMIZATION
Course Outline, January 2012
(2 pages)
SCHEDULE: Section 201, 9:30-11:00 MWF in MATH 104
INSTRUCTOR: Richard Anstee
Oce: Math Annex 1114, phone 604 822-6105
email [email protected]
Home: p

DepartmentofManagementSciences
UniversityofWaterloo
Fall2010
MSCI603
A ss i g n m e n t 1
Date assigned: September 23, 2010.
Due date: September 30 , 2010.
All submitted work should include a signed cover page (posted on the course website).
Assignments s

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
MSCI 603 Fall 2010
Midterm exam review
Problem 1:
Red Dwarf Toasters needs to produce 1000 of their new "Talking Toaster. There are three
ways this toaster can be produced: manual

MSCI 603, Fall 2012, Assignment 3 Due: November 22, 2012
Problem 1: (20 pts)
Sunny Skies Unlimited is developing a new retirement community. One of the decisions
to be made is where to locate the two fire stations. The community has been divided into
five

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Assignment 4
Date assigned: November 18, 2010.
Due date: November 26, 2010.
All submitted work should include a signed cover page (posted on the course website).
Assignments shoul

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Assignment 4 Solution
Question 1:
a. Model the problem to determine how to maximize the revenue received from the sale of paintings as an
assignment problem.
b. Solve it using the

MSCI 603
Fall 2010
More on the range of feasibility
This material is in addition to the lecture notes on LP sensitivity analysis
It is provided in ppt format, so you can play with the figures.
F. Gzara
October 12, 2010
1
Example 1
LP Formulation
Max
s.t.

Department of Management Sciences
University of Waterloo
MSCI 603 Fall 2010
Midterm exam announcement
Date:
Oct 19, 2010
Time:
11:30-12:50
Location:
DC 1351
Coverage: All the material covered so far.
LP formulation
Graphical solution
Simplex method
Graphi

MSCI 603, Fall 2010
Midterm Review
Solution of Question 4.
1. The optimal blend is composed of 0 lbs ingredient 1, 1.5 lbs ingredient 2, 6.9lbs ingredient 3 and
0.62lbs ingredient 4, with cost $335.23.
2. It is 234.o units strong.
3. The cost of ingredien

MSci 607 Applied Economics for Management
Fall 2010
Department of Management Sciences, University of Waterloo
Mid-term exam
November 1 (Monday), 2010, 9:50 11:20 am (1.5 hours)
Instructor: Bon Koo
Instructions
You are given one and half hour to complete

University Of Waterloo
Department of Management Sciences
Fall 2010, MSCI 603
Assignment #
Course Instructor: F. Gzara
Student Name (typed)
UW Student #
Signature
Note: All submitted work should have this cover page. Assignments do not have to be typed.
Qu

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Principles of Operations Research
MSCI 603 Fall 2010
Course Outline
Instructor and course information
Instructor: Dr. Fatma Gzara
Office: CPH 3622
Email: [email protected]
Ext.

MSCI 603
Fall 2010
Network Flow Models
F. Gzara
The assignment problem
Five workers are available to perform four jobs. The time it takes each worker
to perform each job is given in the table below (times given in hours).
Job 1
10
12
12
6
16
Worker 1
Work

MSCI 603
Fall 2010
Project Scheduling: PERT/CPM
F. Gzara
1
Project Scheduling: PERT/CPM
Project Scheduling with Known Activity
Times
Project Scheduling with Uncertain
Activity Times
2
Project Management
A project is a non-routine, non-repetitive task, s

Linear Programming Sensitivity Analysis
Engineering Systems Analysis for Design Massachusetts Institute of Technology
Richard de Neufville, Joel Clark and Frank R. Field LP Sensitivity Analysis Slide 1 of 19
Sensitivity Analysis
Rationale Shadow Prices

Chapter 3 Review Problems pages 113-124
5. Decision Variables:
Let A = dollars invested in investment A
B = dollars invested in investment B
C = dollars invested in investment C
Tt = dollars invested in T-Bills at the end of year t
Objective: Maximize mon

MSCi 603 Assignment 1 Solution
Question 1
=#
of units of size i produced by plant j
i= l (large), m (medium), s (small)
j= 1(plant 1), 2 (plant 2), 3 (pant 3)
(
Maximize 420 (
s.t.
Sales constraints
900
Capacity constraints
Space constraints
Layoff constr

MATH 340
Practice for Quiz # 3
Thursday Feb. 2, 2012
These practice problems give the spirit of the questions that can be asked. Obviously
question 1 could be altered so that you are given a dual optimal solution. And in question
2, a dierent error/incons

The current issue and full text archive of this journal is available at
www.emeraldinsight.com/1741-038X.htm
JMTM
17,1
Application of cybernetics to
manufacturing exibility: a
systems perspective
22
Received April 2004
Revised January 2005
Accepted Februa

MSci 607 Final exam review
Fall 2010
Notes
I am still in the process of making questions. To provide you with more information as
soon as possible, I am posting this review note now. Note that the number of questions or
compositions can be changed later.

MSci 607 Applied Economics for Management
Fall 2010
Assignment 3
Due date: December 1 (Wednesday), in class
Question 1 (16 marks)The domestic demand, domestic supply, and world supply curves for a good are
given in the figure below. (All curves are linear

MSci 607 Applied Economics for Management
Fall 2010
Solution to Assignment 1
Question 1: If the supply curve is perfectly elastic and the demand curve is linear, downward
sloping, what is the effect of a specific tax $1 collected from producers on equilib

MSCI 603
Fall 2010
Decision Analysis
F. Gzara
Decision Analysis
Choice + Chance Consequence
Decision State of Nature
Payoff
Classification scheme of decision models based on the
amount of information available to the decision maker.
How much information

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Note on Assignment 2
Problem 22 page 352.
Table 61: Radio 2 requires 1 hour of laborer 2, instead of 2 hours.
Ignore part h.
To answer parts b, c, d, e, f, and g use the Excel

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Assignment 3
Date assigned: November 02, 2010.
Due date: November 11, 2010.
All submitted work should include a signed cover page (posted on the course website).
Assignments shoul

Department of Management Sciences
University of Waterloo
Fall 2010
MSCI 603
Assignment 3 Solution
Date assigned: November 02, 2010.
Due date: November 11, 2010.
All submitted work should include a signed cover page (posted on the course website).
Assignme

University of Waterloo Faculty of Engineering
Department of Management Sciences Masters in Management Science Online
MSCI 603Z Principles of Operations Research Fall 2008
Tutorial 1
Wednesday, May 12th, 2004 EXCEL SOLVER : http:/www.solver.com or ht