Full Tableau Simplex Method

The full tableau simplex method stores the simplex equations in a table and performs pivots by row operations.

Tableau Contents

The tableau records basic variables, RHS values, coefficients of nonbasic variables, reduced costs, and objective value.

Entering Column

For minimization, choose a column with negative reduced cost.

Leaving Row

Use the minimum ratio test on the pivot column.

Pivot Operation

Scale the pivot row to make the pivot element 1, then eliminate the entering variable from all other rows.

Stopping

For minimization, stop when all reduced costs are nonnegative.

Checklist

Choose pivot column, pivot row, perform row operations, read the BFS.

See Also

• Revised Simplex Method
• Basis Updates

Exam checkpoint

For simplex questions in minimization form, negative reduced costs indicate possible improvement. Use $u=B^{-1}A_j$, apply the ratio test only to positive components of $u$, then update the basis.