What is unbounded optimal solution?

Learn that an unbounded Optimal solution means having a closed unbounded feasible region, however, the inverse of this statement may not be correct. An unbound optimal solution means the constraints do not limit the optimal solution and the feasible region effectively extends to infinity.

What is unbounded solution and how does it occur in graphical method?

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.

What is bounded solution?

consists in finding conditions upon λ under which, for each f ∈ L∞(R), (2.1) has. a unique solution u ∈ AC(R) ∩ L∞(R). We denote the usual norm of v ∈ L∞(R) by |u|∞. Such a solution is simply called a bounded solution of (2.1).

What does unbounded region mean?

unbounded region Definition A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem’s constraints; feasible sets may be bounded or unbounded.

What is unbounded function?

Not possessing both an upper and a lower bound. For example, f (x)=x 2 is unbounded because f (x)≥0 but f(x) → ∞ as x → ±∞, i.e. it is bounded below but not above, while f(x)=x 3 has neither upper nor lower bound.

What is an unbounded sequence?

If a sequence is not bounded, it is an unbounded sequence. For example, the sequence 1/n is bounded above because 1/n≤1 for all positive integers n. It is also bounded below because 1/n≥0 for all positive integers n. Therefore, 1/n is a bounded sequence.

What is unbounded region in LPP?

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 unbounded function example?