What is unbounded solution called in linear programming?

An unbounded solution of a linear programming problem is a situation where objective function is infinite. A linear programming problem is said to have unbounded solution if its solution can be made infinitely large without violating any of its constraints in the problem.

What is bound and unbound solutions in LPP?

A solution region of a system of linear inequalities is bounded if it can be enclosed within a circle. If it cannot be enclosed within a circle, it is unbounded. The previous example had an unbounded solution region because it extended infinitely far to the left (and up and down.) Graph each inequality separately.

Can an optimal solution be unbounded?

An unbound optimal solution means the constraints do not limit the optimal solution and the feasible region effectively extends to infinity. Resolution: In real life, this is very rare. Check the formulation of the constraints, one or more constraints are missing.

What do you mean by unbounded solution of LPP?

It depends on what you mean by solution. Are solutions optimal or just feasible? Unfortunately, the terminology varies. Unbound objective function just means that the objective function is unbounded on the feasible set. That is, there is a sequence of feasible points (some called them solutions) with unbounded objective values.

When to use unbounded solution in linear programming?

Practice Test Unbounded Solution in Linear Programming Problems In a linear programming problem, when a situation exists that the value objective function can be increased infinitely, the problem is said to have an ‘unbounded’ solution.

When is a solution said to be unbounded?

Determination of unbounded solution: In the graphical method of solving linear programming problems, if the feasible region has no boundary or no such constraint which provides the maximum limit to the feasible region, then the solution is said to be unbounded.

Which is an example of an unbounded solution in simplex?

Simplex Method: Unbounded Solution. First we will talk about the Unbounded Solution in linear programming (LP) with the help of an example and after that we will take an example of No Feasible Solution in next section. If in course of simplex computation z j – c j < 0, but minimum positive value is ≤ 0 then…