# How do you know if a solution is feasible?

## How do you know if a solution is feasible?

A feasible solution is one that satisfies all linear and non-linear constraints. Each time the OptQuest Engine generates a new set of values for the decision variables it creates feasible solutions for linear constraints.

How do you define feasible region?

A feasible region is an area defined by a set of coordinates that satisfy a system of inequalities. The region satisfies all restrictions imposed by a linear programming scenario. The concept is an optimization technique.

### What is feasible 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 basic feasible solution?

In the theory of linear programming, a basic feasible solution (BFS) is a solution with a minimal set of non-zero variables. This fact is used by the simplex algorithm, which essentially travels from some BFS to another until an optimal one is found.

## What is feasible solution and infeasible solution?

If a feasible solution exists, consequently a basic feasible solution also exists. In the presence of an optimum solution, there exists a basic feasible solution that is also an optimum solution. An infeasible solution violates at least one of the constraints of the LP problem: Example x1 = 10 bowls.

What is feasible solution in linear programming?

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).

### What do you mean by Modi method?

Abstract. The modified distribution method, is also known as MODI method or (u – v) method provides a minimum cost solution to the transportation problems. This model studies the minimization of the cost of transporting a commodity from a number of sources to several destinations.

Does basic solution have to be feasible?

Definition: A feasible solution solution x is called basic if either x = 0, or the columns of A, corresponding to nonzero components of x in the above linear combination are linearly independent.

## What does it mean if there is no feasible solution?

infeasible
No feasible set If the constraints of an optimization problem are mutually contradictory, there are no points that satisfy all the constraints and thus the feasible region is the null set. In this case the problem has no solution and is said to be infeasible.

What does feasible mean?

Feasible comes from faire, the French verb meaning “to do.” Doable and feasible therefore originally meant literally the same thing: “capable of being done.”

### What is another word for feasible?

Another word for possible. possible. modif. conceivable, imaginable, thinkable, plausible, reasonable, probable, likely; see also likely 1. feasible, practicable, workable, viable, attainable, achievable, permissible, potential, within reach; see also likely 1. tolerable, expedient, desirable, welcome; see pleasant 2.

What is another word for mathematics?

Another word for mathematics. mathematics Synonyms. n. science of numbers, language of numbers, computation, reckoning, calculation, correlation and deduction of numbers, new math, math; see also arithmetic, science 1.