basic feasible solution example

In all the examples we have seen until now, there was an “easy” initial basic feasible solution: put the slack variables on the left hand side However, this is not 

In all the examples we have seen until now, there was an “easy” initial basic feasible solution: put the slack variables on the left hand side How- ever, this is not 

19 fév 2014 · Example Consider the following linear program Say we start with B = {3,4} and N = {1,2} It should be clear that the resulting solution (x1 = 0,x2 = 0,x3 = 1,x4 = 1) is a basic feasible solution (Verify that the corresponding columns of A are linearly independent)

30 sept 2014 · Now a better basic feasible solution x with associated basis ˆB is generated By iterating through the steps above, we will finally find an optimal 

Recall the definition of a polyhedron, and a basic feasible solution: • P ⊆ Rn is a polyhedron, if it can be expressed as P = {x ∈ Rn : Fx ≥ g} for some matrix F 

A pair of specific values for (x1,x2) is said to be a feasible solution if it satisfies two zeros for the nonbasic variables, we obtain the basic (feasible?) solution

Constructing an Initial Basic Feasible Solution We will use the previous numerical example to illustrate the methods In algebraic form, our problem is: Minimize

Glossary of terms Basic feasible solutions: A basic solution which is nonnegative Basic solution: For a canonical form linear program (see below), a basic solution  

Second, the simplex method provides much more than just optimal solutions In the example above, the basic feasible solution x1 = 6, x2 = 4, x3 = 0, x4 = 0, 

if so, does an optimal solution exist? • if so, is it unique? 1 4 Page 2 Example