11/20/2023 0 Comments Unbounded solution space![]() ![]() ![]() (However, a continuous function must be bounded if its domain is both closed and bounded. | f ( x ) | ≤ M are both continuous, but neither is bounded. In other words, there exists a real number M such that In this paper, we establish the existence of an unbounded solution to a second order boundary value problem on the half line. In mathematics, a function f defined on some set X with real or complex values is called bounded if the set of its values is bounded. Intuitively, the graph of a bounded function stays within a horizontal band, while the graph of an unbounded function does not. JSTOR ( September 2021) ( Learn how and when to remove this template message)Ī schematic illustration of a bounded function (red) and an unbounded one (blue). ![]() Unsourced material may be challenged and removed. a) If the feasible polytope described by the solution space of a linear programming problem is unbounded then there is no optimal solution b) If there are two basic optimal feasible solutions then there is an infinity of optimal feasible solutions. This is why the optimal solution must be on a vertex, or corner, of the. Please help improve this article by adding citations to reliable sources. You can imagine it as a plane in three-dimensional space. This article needs additional citations for verification. In mathematical optimization, a feasible region, feasible set, search space, or solution space is the set of all possible points of an optimization problem. ![]()
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