Скачать или смотреть Python Pyomo Simple optimization problem with variables in Boolean statement

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Pyomo is a Python-based open-source optimization modeling language. It allows users to formulate optimization problems and solve them using a variety of solvers. In this tutorial, we will focus on solving a simple optimization problem using Pyomo with Boolean variables.
Before you begin, make sure you have Python and Pyomo installed. You can install Pyomo using the following command:
Additionally, you'll need to have a solver installed. Popular choices include CBC (Coin-OR Branch and Cut) and Gurobi. Install CBC using:
For Gurobi, follow the installation instructions on the Gurobi website.
Let's consider a simple optimization problem where we want to maximize the following objective function:
z=3x+2y
subject to the following constraints:
x+y≤5
2x−y≥1
x,y∈{0,1}
This problem involves two decision variables (
x and
y) with Boolean constraints.
Create a Python script (e.g., simple_optimization.py) and follow along with the code below:
This script defines a Pyomo Concrete Model, declares binary decision variables (
x and
y), sets up the objective function and constraints, and then solves the optimization problem using the CBC solver (you can replace it with 'gurobi' if you are using Gurobi).
Save the script and run it using:
The output will display the optimal values of
x and
y along with the optimal objective value.
This example demonstrates the basic structure of a Pyomo optimization script with Boolean variables. You can modify the objective function and constraints to suit your specific optimization problem.
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