The ORMM text
and this site describe several optimization methods of
operations research by model type.
We list below available resources for teaching topics related
to optimization modeling. Where available, PowerPoint
presentations are provided. Links
are to other
pages
on
this site.

The
Operations Research Method


Chapter 1:Problem Solving with Operations Research
 1.1 The Problem Solving Process
 1.2 Problems, Models and Methods
 1.3 About the Book
 1.4 Exercises
 Bibliography


PowerPoint: What
is OR?


PowerPoint: OR
Models Introduction 
Linear
Programming Models


Chapter 2: Linear Programming Models
 2.1 A Manufacturing Example
 2.2 Computational Considerations
 2.3 Terminology
 2.4 Solution Characteristics
 2.5 Solutions and Sensitivity Analysis
 2.6 Problem Classes
 2.7 Exercises
 Bibliography


PowerPoint: LP
Models 1


PowerPoint: LP
Models 2 

Chapter 2 Supplements
 Chemical Processing
 Additional Exercises
 Equivalent Linear Programs


Linear
Programming Models
Applications


Solving
LP's with the Math Programming Addin


LP/IP
Solver Addin


Linear
Programming Model Examples


Linear
Programming Modeling Problems 
Network
Flow Programming Models


Chapter 5: Network Flow Programming Models
 5.1 Classical Models
 5.2 Extensions of the Basic Models
 5.3 Linear Programming Model
 5.4 Minimum Cost Flow Problem
 5.6 Exercises
 Bibliography


PowerPoint: Networks
1


PowerPoint: Networks
2 

Network
Flow Programming
Applications


Solving
Networks with the Math Programming Addin 

Solving
Transportation Models with the Math Programming Addin 

Network
Solver Addin


Network Model
Examples


Network
Modeling Problems 
Integer
Programming Models


Chapter 7: Integer Programming Models
 7.1 Site Selection Example
 7.2 General Considerations
 7.3 System Design with Fixed Charges
 7.4 Facility Location Problem
 7.5 Covering and Partitioning Problems
 7.6 Distance Problems
 7.7 Examples
 7.8 Nonlinear Objective Function
 7.9 Exercises
 Bibliography


PowerPoint: IP
Models


Integer
Programming Models
Applications


Solving
IP's with the Math Programming Addin 

LP/IP
Solver Addin 

Integer
Programming
Model Examples


Integer
Programming Modeling Problems 

PowerPoint: USPS
Case 
Nonlinear
Programming


Chapter 9: Nonlinear Programming Models
 9.1 Manufacturing Example
 9.2 General Considerations
 9.3 Determining Convexity
 9.4 Applications
 9.5 Problem Classes
 9.6 Exercises
 Bibliography


PowerPoint: NLP
Models 1


PowerPoint: NLP
Models 2 

Nonlinear
Programming Models


Solving
NLP's with the Math Programming Addin 

Excel
Solver Addin 

NLP
Model Examples 1
NLP
Model Examples 2 

Nonlinear
Programming Modeling Problems 
Dynamic
Programming


Supplement Chapter 19: Dynamic Programming Models


Dynamic
Programming Models
Applications


Dynamic
Programming Models 

Solving
DP's with the Teach Dynamic Programming Addin
Applications
 The
General Model
 Special
Cases
 Knapsack Problem
 Binary Knapsack Problem
 Line Partitioning
 Unbounded Knapsack Problem
 Shortest Path on Grid
 Shortest Path on Network
 Sequencing
 Traveling Salesman


Dynamic
Programming Model Examples

Combinatorial Optimization


Optimize
Addin Instructions
Applications


Optimize
Addin 

Optimize Demos


Combinatorics
Addin Instructions
Applications


Combinatorics
Addin 

Combinatorics
Demos

Other
Applications
Applications of math programming and combinatorial
methods can be found in several other sections of this
site. A list of applications with links are shown below.
We
have not listed topics where optimization is provided
by closed form expressions, such as in inventory theory,
or where optimization is an inherent part of the model
such as in decision analysis.


Queuing


Portfolio


Process
Flow Analysis Optimization Models


Facility Layout


Inventory
System Optimization


