How do you define a feasible solution?
How do you define a feasible solution?
A feasible solution is a set of values for the decision variables that satisfies all of the constraints in an optimization problem. The set of all feasible solutions defines the feasible region of the problem.
What is feasible solution in LPP with example?
For example, the point (10, 50) is a feasible solution of the problem and so are the points (0, 60), (20, 0) etc. the problem. Optimal (feasible) solution: Any point in the feasible region that gives the optimal value (maximum or minimum) of the objective function is called an optimal solution.
What is feasible solution with example?
A feasible solution is one that satisfies all linear and non-linear constraints. For example, if the constraint is Var1*Result1 >= 500, where Result1 is a user-controlled variable, the caller must calculate the value of Result1 and tell the OptQuest Engine the value.
What is feasible and infeasible solution?
For a standard maximum/minimum problem a range of values is said to be feasible if they satisfy the corresponding constraints. The set of feasible vectors is called the constraint set which lies on the feasible regions.So, if the constraint set is not empty, then the LP is feasible or else it is said to be infeasible.
What is meant by feasible solution of an LPP?
Feasible solution to a L.P.P: A set of values of the variables, which satisfy all the constraints and all the non-negative restrictions of the variables, is known as the feasible solution (F.S.) to the L.P.P.
What is the basic feasible solution of LPP?
In the theory of linear programming, a basic feasible solution (BFS) is a solution with a minimal set of non-zero variables. Geometrically, each BFS corresponds to a corner of the polyhedron of feasible solutions. If there exists an optimal solution, then there exists an optimal BFS.
What is feasible solution and optimal solution?
A feasible solution satisfies all the problem’s constraints. An optimal solution is a feasible solution that results in the largest possible objective function value when maximizing (or smallest when minimizing). A graphical solution method can be used to solve a linear program with two variables.
What is meant by feasible solution of an LP problem?
Definition: A feasible solution to a linear program is a solution that satisfies all constraints. Definition: An optimal solution to a linear program is the feasible solution with the largest objective function value (for a maximization problem).
How do you know if a linear program is feasible?
Definition 1 If x satisfies Ax = b, x ≥ 0, then x is feasible. Definition 2 A linear program (LP) is feasible if there exists a feasible solution, otherwise it is said to be infeasible.
What is feasible and optimal?
A solution (set of values for the decision variables) for which all of the constraints in the Solver model are satisfied is called a feasible solution. An optimal solution is a feasible solution where the objective function reaches its maximum (or minimum) value – for example, the most profit or the least cost.
What is the difference between feasible solution and basic feasible solution?
A feasible solution is a solution which satisfies the non negative restrictions (i.e., >=0). That is all the variables must be either zero or greater than zero (i.e., positive). A basic feasible solution is a solution which satisfies all the constraints and also the non negativity restrictions.
