nono# Simplex Algorithm Solver
A C++ implementation of the Simplex method for solving Linear Programming problems. This program efficiently finds the optimal solution to a given set of linear constraints and an objective function using the tableau method.
✅ Implements the Simplex Algorithm for Linear Programming ✅ Iterative approach to ensure optimality ✅ Detects unbounded solutions ✅ User-friendly output with formatted tableau representation ✅ Structured and modular code for easy understanding and modification
Ensure you have a C++ compiler installed (e.g., g++ for GCC).
g++ simplex_solver.cpp -o simplex_solver./simplex_solver📁 Simplex Solver Project
│── simplex_solver.cpp # Main program implementing the Simplex method
│── README.md # Project documentation
1️⃣ Initial Tableau Creation: Represents the LP problem as a tableau. 2️⃣ Pivot Column Selection: Identifies the most negative coefficient in the objective function row. 3️⃣ Pivot Row Selection: Uses the minimum ratio test to determine the leaving variable. 4️⃣ Pivoting Operation: Converts the pivot element to 1 and other elements in the column to 0. 5️⃣ Iteration Until Optimality: The algorithm repeats until all coefficients in the last row are non-negative.
Initial Tableau:
2.00 3.00 1.00 0.00 0.00 100.00
4.00 1.00 0.00 1.00 0.00 80.00
3.00 2.00 0.00 0.00 1.00 60.00
-3.00 -5.00 0.00 0.00 0.00 0.00
Pivot Column: 1
Pivot Row: 1
Updated Tableau:
...
Optimal Solution:
Z = 166.67
Allow user input for constraints and objective function
Enhance output format with better visualization
Implement
Graphical Method for 2-variable problems
This project was developed as part of an assignment given by Mr. Rupert (GitHub: @Waboke).
📌 U22CS1039
📌 U22CS1037
📌 U22CS1040
📌 U22CS1041
📌 U22CS1080
📌 U22CS1044
📌 U22CS1045
📌 U22CS1046
📌 U22CS1115
📌 U19CS1106
This project is open-source and available under the MIT License.