This book describes a new tool for mathematical modeling: the Python Optimization
Modeling Objects (Pyomo) software. Pyomo supports the formulation and analysis
of mathematical models for complex optimization applications. This capability is
commonly associated with algebraic modeling languages (AMLs), which support
the description and analysis of mathematical models with a high-level language.
Although most AMLs are implemented in custom modeling languages, Pyomo’s
modeling objects are embedded within Python, a full-featured high-level programming
language that contains a rich set of supporting libraries.


Modeling is a fundamental process in many aspects of scientific research, engineering
and business, and the widespread availability of computing resources has
made the numerical analysis of mathematical models a commonplace activity. Furthermore,
AMLs have emerged as a key capability for robustly formulating large
models for complex, real-world applications [40]. AMLs simplify the process of
formulating complex models by simplifying the management of sparse data and
supporting the natural expression of model components. Additionally, AMLs like
Pyomo support scripting with model objects which facilitates rapid development of
new analysis tools.