FICO Xpress Optimization Examples Repository: Knapsack problem

FICO Xpress Optimization Examples Repository

Knapsack problem

Description

Example of a knapsack problem formulated with the Xpress Python interface.

Further explanation of this example: 'Xpress Python Reference Manual'

Knapsack_python.zip

[download all files]

Source Files

By clicking on a file name, a preview is opened at the bottom of this page.

knapsack.py

[download]

knapsack.py

# Example of a knapsack problem formulated with the Xpress Python interface
#
# (C) Fair Isaac Corp., 1983-2024

import xpress as xp
import numpy as np

S = range(5)          # that's the set {0,1,2,3,4}
value = np.array([102, 512, 218, 332, 41])  # or just read them from file
weight = np.array([21, 98, 44, 59, 9])

p = xp.problem("knapsack")

x = p.addVariables(5, vartype=xp.binary)
profit = xp.Dot(value,x)

p.addConstraint(xp.Dot(weight,x) <= 130)
p.setObjective(profit, sense=xp.maximize)

p.optimize()