Operation Research 6: Linear Programming Solution: Simplex Method for Minimization

Linear Programming Solution using Simplex Method for Minimization objective function. The steps to solve minimization linear programming problem using simplex method: 1- Convert each inequality in the set of constraints to an equality by adding slack variables. 2- Create the initial simplex tableau. 3- Locate the most negative entry (Cj-Zj) in the bottom row to determine the pivot column. 4- The smallest positive ratios of “RHS-column” with their corresponding pivot column is pivot row. 5- Use elementary row operations so that the pivot value is 1, and all other entries in the entering column are 0. This process is called pivoting. 6- If all (Cj-Zj) ≥ 0, this is the final table. If not, go back to Step 3 to determine the pivot column again. 7- From the final table, the LPP has a minimum solution, which is given by the entry in the lower-right corner of the table.

• #education
• #linear_programming_solution
• #simplex_method
• #minimization
• #steps_to_solve_minimization_lpp
• #pivoting
• #optimal_solution_cj_zj_0
• #pivot_column
• #pivot_row
• #pivot_value
• #minimal_solution
• #lower_right_corner_of_the_table
• #entry_variable
• #leaving_variable