Classes - Operations Research Models and Methods

Instruction

OR Models

Optimization Resources

Stochastic Resources 1

Stochastic Resources 2

OR Models Class

	Operations Research Models
	Optimization Resources

This 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 Terminology Product Mix Problem Resource Allocation Problem Workforce Scheduling Problem Blending or Mixing Problem Aggregate Planning Problem
	Solving LP's with the Math Programming Add-in Instructions Add-in
	LP/IP Solver Add-in Instructions Add-in
	Linear Programming Model Examples Examples from Chapter 2
	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 Terminology Distribution Example Assignment Problem Transportation Problem Shortest Path Problem Maximum Flow Problem Multiperiod Operation Transformation of Flow Restrictions and Costs on Nodes Convex Costs and Concave Revenues
	Solving Networks with the Math Programming Add-in
	Solving Transportation Models with the Math Programming Add-in
	Network Solver Add-in Instructions Add-in
	Network Model Examples Examples from Chapter5
	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 Terminology Site Selection Nonlinear Objective
	Solving IP's with the Math Programming Add-in
	LP/IP Solver Add-in
	Integer Programming Model Examples
	Integer Programming Modeling Problems
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 Terminology Manufacturing Example
	Solving NLP's with the Math Programming Add-in
	Excel Solver Add-in
	NLP Model Examples 1 NLP Model Examples 2
	Nonlinear Programming Modeling Problems
Dynamic Programming
	Supplement Chapter 19: Dynamic Programming Models
	Dynamic Programming Models Applications Terminology Investment Example
	Dynamic Programming Models
	Solving DP's with the Teach Dynamic Programming Add-in 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 Add-in Instructions Applications MIP Network NLP Start TSP Permute Spanning Tree Path Tree Flow Tree
	Optimize Add-in
	Optimize Demos Optimize Math Programming Demo Tree Demo TSP Demo
	Combinatorics Add-in Instructions Applications Quadratic Assignment Problem Spanning Tree Path Tree Traveling Salesman Problem Sequencing Routing
	Combinatorics Add-in
	Combinatorics Demos QAP Demo Tree Demo TSP Demo Seq Demo Route Demo
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 Optimum Numbers of Servers
	Portfolio Capital Budgeting Capital Budgeting with Risk Multiperiod Capital Budgeting Capacity Portfolio Markowitz Portfolio
	Process Flow Analysis Optimization Models Products Only Resources and Materials Number of Resources
	Facility Layout Optimum Sequence CRAFT Method Quadratic Assignment Optimize
	Inventory System Optimization Multi-Item Common Cycle Machine Scheduling