Each tableau will contain the same information about the linear program, only written differently. The value of the objective function z = 0 corresponding to this basic feasible solution can be read off from the last row of the tableau.įrom the initial simplex tableau we will construct a sequence of tableaus of a similar form, by gradually rewriting them according to the certain rules. The variables x₃, x₄, x₅ from the left-hand side are basic and the variables x₁, x₂ from the right-hand side are nonbasic. This feasible solution is indeed basic with S=. In our case we substitute 0 for the variables x₁ and x₂ from the right-hand side, and without calculation we see that x₃ = 2, x₄ = 4, x₅ = 4. ![]() The last row, separated by a line, contains a new variable z, which expresses the objective function.Įach simplex tableau is associated with a certain basic feasible solution. ![]() The first three rows consist of the equations of the linear program, in which the slack variables have been carried over to the left-hand side and the remaining terms are on the right-hand side. From an equational form, we express each linear program in the form of a simplex tableau.
0 Comments
Leave a Reply. |