PuLP is an open source linear programming package for python. PuLP can be installed using pip, instructions here. https://coolhfil225.weebly.com/sketch-3-4-4.html.
First, if your Pulp installation started off as a version lower than 2.3.0 and you are still using the default CA certificate and key that was distributed with those versions of Pulp, then you are still vulnerable to CVE-2013-7450 and it is crucial that you generate a new unique CA.
In this notebook, we’ll explore how to construct and solve the linear programming problem described in Part 1 using PuLP.
A brief reminder of our linear programming problem:
We want to find the maximum solution to the objective function:
New macbook restore from time machine. $Z = 4x + 3y$
Subject to the following constraints:
$
x geq 0
y geq 2
2y leq 25 – x
4y geq 2x – 8
y leq 2x -5
$
Then instantiate a problem class, we’ll name it “My LP problem” and we’re looking for an optimal maximum so we use LpMaximize
We then model our decision variables using the LpVariable class. In our example, x had a lower bound of 0 and y had a lower bound of 2.
Upper bounds can be assigned using the upBound parameter.
Bartender 3 3 0 8. The objective function and constraints are added using the += operator to our model.
The objective function is added first, then the individual constraints.
We have now constructed our problem and can have a look at it.
PuLP supports open source linear programming solvers such as CBC and GLPK, as well as commercial solvers such as Gurobi and IBM’s CPLEX.
The default solver is CBC, which comes packaged with PuLP upon installation.
For most applications, the open source CBC from COIN-OR will be enough for most simple linear programming optimisation algorithms.
We have also checked the status of the solver, there are 5 status codes:
We can now view our maximal variable values and the maximum value of Z.
We can use the varValue method to retrieve the values of our variables x and y, and the pulp.value function to view the maximum value of the objective function.
Same values as our manual calculations in part 1.
https://hereyfile338.weebly.com/mic-echo-sound-software-free-download.html. In the next part we’ll be looking at a more real world problem.
Introduction
Part 1 – Introduction to Linear Programming
Part 2 – Introduction to PuLP
Part 3 – Real world examples – Resourcing Problem
Part 4 – Real world examples – Blending Problem
Part 5 – Using PuLP with pandas and binary constraints to solve a scheduling problem
Part 6 – Mocking conditional statements using binary constraints