SimplexPy

SimplexPy is a compact python library that automatically solves Linear Programming Equations i.e Maximization problems, easily and quickly while giving you neat results.

Unittest

Test vectors were gotten from -

ADVANCED ENGINEERING MATHEMATICS (K.A STRAUD) 4th Edition
Programme 23 - Optimization and linear programming 
Page 940

Example

"""
Solve using the Simplex method the following problem:
Maximize 	Z = f(x,y) = 3x + 2y
subject to: 	2x + y ≤ 18
                2x + 3y ≤ 42
                3x + y ≤ 24
                x ≥ 0 , y ≥ 0
"""
def main():
	
    # problem setup
    problem = [
        ['w1',2,1,1,0,0,18],
        ['w2',2,3,0,1,0,42],
        ['w3',3,1,0,0,1,24],
        ['P',-3,-2,0,0,0,0]
    ]

    result = SimplexPy.SolveEq(problem, 2) # where 2 is the total number of variables

    """
    {'w4': Fraction(0, 1), 'w3': Fraction(3, 1), 'w2': Fraction(0, 1), 
    'w1': Fraction(0, 1), 'x2': Fraction(12, 1), 'x1': Fraction(3, 1),
    'Pmax': Fraction(33, 1)}
    """

License

Copyright (c) 2021 Mbadiwe Nnaemeka Ronald ron2tele@gmail.com

This software is provided 'as-is', without any express or implied
warranty. In no event will the author be held liable for any damages
arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it
freely, subject to the following restrictions:

1. The origin of this software must not be misrepresented; you must not
claim that you wrote the original software. If you use this software
in a product, an acknowledgment in the product documentation must be
specified.

2. Altered source versions must be plainly marked as such, and must not be
misrepresented as being the original software.

3. This notice may not be removed or altered from any source distribution.