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2b lp simplex 1

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1 Linear Programming Part II- The Simplex Method (for LP problems in ≥ 2 variables)  Learning Outcomes Students should be able to: 1. Solve LP problems by the simplex method (focusing on the maximization problems) 2. Interpret the optimal simplex tableau. I. The Simplex Method The following diagram illustrates the proc edure of the simplex method. The Simplex Solution Procedure Start Optimal Convert LP model to Standard Form Test for Optimality Interpret Stop Not Optimal Obtain an Initial Basic Feasible Solution Determine the Entering Variable Determine the Leaving Variable Obtain an Improved BF Solution Choose variable from the pivot column (column with the M OST NEGATIVE Z  -row value) Choose variable from the pivot row  (row with the s mal les t pos iti ve RHS- to- pivot column ratio)  Perform elementary row operations (ERO) Testing for Optimality (Maximization problems): All z-row values ≥ 0 Optimal Testing for Optimality (Minimization problems): All z-row values ≤ 0 Optimal ECS716: Operations Research Pn Pa’ezah Hamzah 

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