Basic example
Let's solve the following problem using Pyoframe!
Imagine you're a vegetarian hesitating between tofu and chickpeas as a source of protein for tomorrow's dinner. You'd like to spend as little as possible while still consuming at least 50 grams of protein. How many blocks of tofu ($4, 18g of protein) and cans of chickpeas ($3, 15g of protein) should you buy?
Click on the buttons below to understand the Pyoframe solution.
import pyoframe as pf
m = pf.Model()
# You can buy tofu or chickpeas
m.tofu_blocks = pf.Variable(lb=0, vtype="integer") # (1)!
m.chickpea_cans = pf.Variable(lb=0, vtype="integer")
# You want to minimize your cost (4$ per tofu block, $2 per chickpea can)
m.minimize = 4 * m.tofu_blocks + 3 * m.chickpea_cans # (2)!
# But still consume 10 grams of protein (tofu = 8g, chickpea cans = 6g)
m.protein_constraint = 18 * m.tofu_blocks + 15 * m.chickpea_cans >= 50 # (3)!
m.optimize() # (4)!
- Notice how we set a lower bound (
lb=0) so that you can't buy negative amounts. We also specify .minimizeand.maximizeare reserved variables that let you define your objective function.- Constraints are easily created with
<=,>=, or==. - Pyoframe automatically detects your installed solver!
So how much should you buy...