Lesson 8

1 Outubro 2026, 09:00 • Cristina Requejo

Economic interpretation of both the primal and dual solutions.

Sensitivity analysis: to the RHS of the constraints, to the coefficients of the objective function. Adding a new constraint. Adding a new variable.

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Lesson 7

28 Setembro 2026, 09:00 • Cristina Requejo

Modeling and solving problems Primal dual complementarity relations. Obtain the dual solution by knowing the primal solution: graphically, from the Simplex table, from the Excel Solver reports, through the primal/dual complementarity relations.

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Lesson 6

24 Setembro 2026, 09:00 • Cristina Requejo

How to identify a unique optimal solution, alternative optimal solutions (as convex combination of extreme points, and as extreme point plus extreme direction) and unbounded solution value in the Simplex table.

 2. Duality and Sensitivity Analysis

Definition of the dual problem, relation between the dual and the primal, properties of the dual.

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Lesson 5

21 Setembro 2026, 09:00 • Cristina Requejo

Binding constraints, basic solutions and identifying extreme points. The Simplex method. The path of the Simplex method. How to identify the optimal solution: the optimality condition.

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Lesson 4

17 Setembro 2026, 09:00 • Cristina Requejo

Using the Excel Solver. Other alternative solvers were presented and illustrated: XPRESS-FICO's specialized software, Gurobi and the PuLP with Python.

The standard forms of an LP and reformulation operations.

The augmented model.

How to obtain extreme points.

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