MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONLIVEMEETING7
Example1:
Consider a decision analysis problem whose payoffs (in units of thousands of dollars) are given by the fol
MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONSECONDLIVEMEETING
Example1:LPFormulation
Manpower Planning: Certain types of facilities operate seven days each week and face the
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9:16 PM
Page 21-1
CHAPTER
Dynamic Programming
CONTENTS
21.1 A SHORTEST-ROUTE PROBLEM
21.2 DYNAMIC PROGRAMMING
NOTATION
21.3 THE KNAPSACK PROBLEM
21.4 A PRODUCTION A
Name: _ Class: _ Date: _
ID: A
Review Problems with Solutions
Problem
1. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are
given below.
Plastic
Ink
MSci603 Week2
LPFORMULATION
1
LP Formulation: Manpower Planning
Certain types of facilities operate seven days
each week and face the problem of allocating
person power during the week as staffing
req
Principles of Operations Research
Week 2:
Graphical Sensitivity Analysis
and
Applications of Linear Programming
Problems Modeling and Analysis
Instructor: A. Obeidi
Sensitivity Analysis
Used to test t
Masters in Management Science Online
Department of Management Sciences
Faculty of Engineering
University of Waterloo
MSCI 603Z Principles of Operations Research
Fall 2012
Assignment 1
Due by October 2
Masters in Management Science Online
Department of Management Sciences
Faculty of Engineering
University of Waterloo
MSCI 603Z Principles of Operations Research
Fall 2012
Assignment 1
Due by October 2
Masters in Management Science Online
Department of Management Sciences
Faculty of Engineering
University of Waterloo
MSCI 603Z Principles of Operations Research
Fall 2012
Assignment 4
Due by November
Linear Optimization
1 of 32
http:/home.ubalt.edu/ntsbarsh/opre640a/partviii.htm
Deterministic Modeling:
Linear Optimization with Applications
Europe Site
Site for Asia
Site for Middle East UK Site
USA
Solutions to Problems in Assignment 1
Problem 1:
1)
The optimal solution is
2,
6. Note that the feasible should be shaded, not just labeled.
which is calculated by the coefficient
2) The slope of the
5/31/2011
MSci603Spring2011
Week4
DUALITY
1
Duality: Learning Objectives
1. Understand the concepts of duality and the relationship between
the primal and dual linear programming problems.
2. Know the
6/15/2011
MSci603Spring2011
Week6
IPPROGRAM
1
Integer Program: Learning Objectives
1. Be able to recognize the types of situations where integer linear
programming problem formulations are desirable.
5/10/2011
MSci603Spring2011
Week1
LPFORMULATION
1
Understand the following concepts
mathematical model
problem formulation
linear program
feasible region
function
linear functions
objective function
c
MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONFIRSTLIVEMEETING
Example1:LPFormulation
Papa Louis manufactures wooden tables and chairs for small kids. Each "table" built: Sell
MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONLIVEMEETING6
Example1:Basketball
Coach Jack is trying to choose the starting line-up for the basketball team. The team consists o
MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONLIVEMEETING7
Example1:
Consider a decision analysis problem whose payoffs (in units of thousands of dollars) are given by the fol
4323X_17_ch17_p001-047.qxd
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6:34 PM
Page 17-1
CHAPTER
17
Linear Programming:
Simplex Method
CONTENTS
17.1 AN ALGEBRAIC OVERVIEW
OF THE SIMPLEX METHOD
Algebraic Properties of the
Simplex Method
MSCI603
PrinciplesofOperationsResearch
A.Obeidi
PROBLEMSTOBEDISCUSSEDONFIRSTLIVEMEETING
LPFORMULATION
Example1:Manufacturing
Papa Louis manufactures wooden tables and chairs for small kids. Each "tabl