Optimization is an important tool in making decisions and analyzing systems across a wide variety of disciplines in business, engineering, and science. Here we feature NEOS-related case studies as well as links to case studies on other websites. The typical NEOS case study includes a problem description, a mathematical formulation, an approach for solving the problem, and an interpretation of the results. In some cases, the case study is interactive, meaning that the user can experiment with aspects of the problem and solve multiple instances using the NEOS Server. Case studies using GAMS MIRO have also been made available. For best results, we recommend using Firefox for the interactive case studies. The case studies are grouped into subject areas for easy reference.
The first NEOS case studies were developed in the late 1990s to show how optimization relates to practical applications. Some of the original case studies are described in the paper:
- Optimization Case Studies in the NEOS Guide by J. Czyzyk, T. Wisniewski, and S. J. Wright in Siam Review 41(1): 148-163 (1999).
The collection of NEOS case studies has grown over the years and continues to grow with the contributions of students at the University of Wisconsin in Madison.
Biology and Medicine
- Domino Artwork
- Mathematical Modeling Case Studies in Computer Architecture
- Supervised Machine Learning with a Support Vector Machine
Economics and Game Theory
- E1: Nonlinear Least Squares with Cobb-Douglas Production Function
- E2: Nonlinear Least Squares with Constant Elasticity of Substitution Production Function
- E3: Maximum Likelihood Estimation with Probit Model (Binary Dependent Variable Case)
- E4: Maximum Likelihood Estimation with Logit Model (Binary Dependent Variable Case)
- Game Theory
Electricity and Power
Machine Learning and AI
Puzzles and Games
- Location Analysis