SimplexCPP is a c++ library that helps solves Linear Programming Equations i.e Maximization problems, easily also providing you with neat results.
Test vectors were gotten from -
ADVANCED ENGINEERING MATHEMATICS (K.A STRAUD) 4th Edition
Programme 23 - Optimization and linear programming
Page 940
#include <iostream>
#include "Simplex.h"
using namespace std;
/*
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
*/
int main()
{
// problem setup
MATRIX problem = {
LINE("w1", { 2, 1, 1, 0, 0, 18 }),
LINE("w2", { 2, 3, 0, 1, 0, 42 }),
LINE("w3", { 3, 1, 0, 0, 1, 24 }),
LINE("P", { -3, -2, 0, 0, 0, 0 })
};
S_RESULTS result = Simplex::SolveEq(problem, 2); // where 2 is the total number of variables
cout << result.GetValue("Pmax") << endl; // 33
return 0;
}Copyright (c) 2021 Mbadiwe Nnaemeka Ronald [email protected]
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