Pyomo

Define supply chain nodes (e.g., factories, warehouses, retailers).

Define transportation links and costs.

Define demand at each retailer.

Formulate a mixed-integer programming model to minimize total costs.

Solve the model using a solver.

Analyze the optimal transportation plan and inventory levels.

Define power generation units (e.g., coal, gas, renewable).

Define power demand at various locations.

Define transmission constraints and costs.

Formulate a linear or nonlinear programming model to minimize total costs.

Solve the model using a solver.

Analyze the optimal power generation dispatch and transmission flows.

Define the chemical reactions and their kinetics.

Define the reactor parameters (e.g., temperature, pressure).

Define the input and output streams.

Formulate a nonlinear programming model to maximize yield.

Solve the model using a solver.

Analyze the optimal reactor operating conditions.

Define the available assets (e.g., stocks, bonds).

Define the expected returns and volatilities.

Define the risk aversion of the investor.

Formulate a quadratic programming model to maximize risk-adjusted returns.

Solve the model using a solver.

Analyze the optimal portfolio allocation.

Define the projects and their resource requirements.

Define the expected benefit of each project.

Define the resource constraints.

Formulate an integer programming model to maximize total benefit.

Solve the model using a solver.

Analyze the optimal resource allocation.