The red arrows indicates that the solution space goes further. If you consider the inequalities the solution space looks like the yellow one. Consequently, this LPproblem has one infeasible solution.3.4.4RedundancyA redundant constraint is one that does not affect the feasible solution region (or. This means that at least one of your variables isn’t constrained and can reach up to positive or negative infinity, making the objective infinite as well. An unbounded feasible region might not result in an unbounded solution for a minimization or maximization problem. (An upper bound is n / (n-m) m, which is the number of ways of selecting m basic variables out of n. An in nite number of solutions - Either by an unbounded set or the isopro t lines are coincident with a boundary at the optimum. An unbounded solution - The feasible set is unbounded. There are a finite number of ways of choosing the basic variables. A unique solution (either with or without an unbounded feasible set). The criteria for stopping the simplex algorithm is that the coefficients of the objective function must be non-positive. Unbounded Solution A linear programming problem is unbounded if its feasible region isn’t bounded and the solution is not finite. An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem. Recall also that each solution produced by the simplex algorithm is a basic feasible solution with m basic variables, where m is the number of constraints. I'm taking an undergraduate course on Linear Programming and we were asked to solve the following problem using the Simplex Method: $$\max:~Z=3x+2y\\\text\Rightarrow z^*=55$
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |