Revised Simplex Method Calculator
Revised simplex method calculator using matrix operations for efficient linear programming solving.
Our simplex method calculator handles maximization, minimization, 2-phase, Big M, dual, and revised simplex variants. Enter your objective function and constraints, and the calculator performs every pivot operation automatically.
Revised Simplex Method Calculator
How Simplex Method Calculator Works
Enter the LP Problem
Type the objective function coefficients and every constraint row with its right-hand-side value.
Choose Maximize or Minimize
Pick your optimization goal. The tool builds the initial tableau with slack variables automatically.
Run the Pivot Iterations
The calculator identifies pivot column by Cj-Zj, computes ratios, performs elementary row operations until optimal.
Read the Optimal Solution
Final tableau displays optimal variable values, Zj row, and the maximum/minimum objective value.
Sample Simplex Tableau Output
Example tableau iteration for a 2-variable maximization problem
| Basis | x1 | x2 | s1 | s2 | RHS | Cj-Zj |
|---|---|---|---|---|---|---|
| x1 | 14 | 0 | 0 | 1 | 14 | 0 |
| x2 | 7 | 1 | 0 | 0 | 7 | 5 |
| Zj | 35 | 5 | 0 | 0 | 35 |
Frequently Asked Questions
What is the revised simplex method?
The revised simplex method is a computationally efficient version of the simplex algorithm that updates the basis inverse matrix rather than the entire tableau, reducing calculation time for large LP problems.
How does the revised simplex calculator differ from the standard one?
Instead of calculating the whole tableau at every iteration, the revised calculator only computes the necessary pivot column and row using the current basis inverse, saving memory and computational effort.