The vertices of the polytope are also called " basic feasible solutions ".
2.
So the inequality above excludes the basic feasible solution and thus is a cut with the desired properties.
3.
In this context such a point is known as a " basic feasible solution " ( BFS ).
4.
The possible results of Phase I are either that a basic feasible solution is found or that the feasible region is empty.
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Conversely, given a basic feasible solution, the columns corresponding to the nonzero variables can be expanded to a nonsingular matrix.
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The possible results from Phase II are either an optimum basic feasible solution or an infinite edge on which the objective function is unbounded below.
7.
In the second step, Phase II, the simplex algorithm is applied using the basic feasible solution found in Phase I as a starting point.
8.
The method proceeds by first dropping the requirement that the x i be integers and solving the associated linear programming problem to obtain a basic feasible solution.
9.
A basic solution that satisfies all the constraints defining P or in other words, one that lies within P is called a "'basic feasible solution " '.
10.
If the values of the nonbasic variables are set to 0, then the values of the basic variables are easily obtained as entries in " b " and this solution is a basic feasible solution.
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