Integer and Nonlinear Programming and Network Flow
This course will teach you a number of advanced topics in optimization: how to formulate and solve network flow problems; how to model and solve optimization problems; how to deal with multiple objectives in optimization problems, and techniques for handling optimization problems.
Students who complete this class are able to:
- Describe the characteristics of a network flow problem
- Specify an objective function and constraints for a network problem, and model it with software
- Solve the integer programming problem with software
- Appropriately use rounding and stopping rules, and branch & bound
- Describe the scenario in which an integer programming method is used
- Specify an integer programming model
- Accommodate multiple goals in the analysis
- Specify a nonlinear programming model
Who Should Take This Course
Business analysts with responsibility for specifying, creating, deploying or interpreting quantitative decision models. Users of optimization software who need to attain a more solid grounding in network optimization, integer programming, non-convex optimization, and multi-criteria optimization.
Network Flow Problems
- Characteristics (nodes, arcs, decision variables)
- The objective function & constraints
- Modeling in a spreadsheet
Integer Linear Programming
- Integrality condition, relaxation
- Stopping rules
- Binary variables
- Implementing/solving the model
- Branch & bound
- Soft/hard constraints
- Defining the objective
- Tradeoffs & goal revision
- Multiple objective linear programming (MOLP)
Nonlinear Programming (NLP)
- Generalized reduced gradient (GRG) overview
- Local vs. Global optimality
- Economic Order Quantity (EOQ) problem
- Location problem
- Evolutionary Optimization
- Skill: Intermediate
- Credit Options: ACE, CAP, CEU
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Homework in this course consists of short answer questions to test concepts and guided data analysis problems using software.
Spreadsheet Modeling & Decision Analysis, eighth edition by Cliff Ragsdale, which can be ordered from the publisher via the previous link. This text is also used in our courses, Introduction to Optimization and Risk Simulation and Queueing. We do not recommend using the Kindle version of this book.
The course uses Analytic Solver Platform for Education software by Frontline systems. Analytic Solver Platform for Education is an add-in for Excel that performs risk analysis, simulation, optimization, decision trees and other analytical methods. With the purchase or rental of the book, you will have a course code that will enable you to download and install the software for 140 days. If you do not have such a license, a license is also available for course registrants through Statistics.com. Please do not install the regular public trial copy of the software on your own; when the course starts we will provide you with the complete installation instructions to obtain the appropriate copy of the software.
Options for Credit and Recognition
ACE CREDIT | College Credit
This course has been evaluated by the American Council on Education (ACE) and is recommended for the upper-division baccalaureate degree, 3 semester hours in operation research, computer programming, statistics, or computer information systems. Please note that the decision to accept specific credit recommendations is up to the academic institution accepting the credit.
Literacy, Accessibility, and Dyslexia
At Statistics.com, we aim to provide a learning environment suitable for everyone. To help you get the most out of your learning experience, we have researched and tested several assistance tools. For students with dyslexia, colorblindness, or reading difficulties, we recommend the following web browser add-ons and extensions:
- Color Enhancer (for colorblindness)
- HelperBird (for colorblindness, dyslexia, and reading difficulties)
- Mobile Dyslexic
- Color Vision Simulation (native accessibility feature)
- Other native accessibility features instructions