What is a Feasible Set?

A feasible set is a collection of points in a mathematical space that satisfy certain criteria. It is used to determine the best possible solution to a given problem. The points in a feasible set are typically the points of intersection between multiple linear constraints.

How is a Feasible Set Used?

A feasible set is used to determine the best possible solution to a given problem. It can be used to determine an optimal solution to a linear programming problem, or to determine the optimal point for a given problem. A feasible set can also be used to determine the maximum or minimum values of a given function.

What Are the Properties of a Feasible Set?

A feasible set has several properties that make it useful for solving problems. First, a feasible set is closed, meaning that all of its points must be within the specified bounds of the problem. Second, a feasible set is convex, meaning that the points within it form a convex shape. Finally, a feasible set is bounded, meaning that it is enclosed within a given region.

What Tools are Used to Find a Feasible Set?

The most common tool used to find a feasible set is linear programming. Other methods for finding a feasible set include linear optimization, convex optimization, and branch and bound methods.

Related Questions

  • What is linear programming?
  • What is linear optimization?
  • What is convex optimization?
  • What is a branch and bound method?
  • What are the advantages of a feasible set?
  • What are the disadvantages of a feasible set?
  • What is a polygon in geometry?
  • What is a linear constraint?
  • What are the properties of a convex set?
  • What is the difference between a feasible set and an infeasible set?