Operation Research
1) What is the meant by the term ‘feasible region’? Its feasible region is a convex polyhedron, which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality.
2) What is an infeasible solution? How is this condition recognized in simplex method?
A infeasible solution is one that does not satisfies all linear and non-linear constraints. When the solution is along with the artificial variable even when the aolution is optimized then its is a infeasible solution
3) What is an unbounded solution? How is this condition recognized in simplex method?
A linear program is unbounded if the optimal solution is unbounded, i.e. it is either ∞ or −∞.
In simplex when the entry values are negative its solution is unbounded.
4. Define slack and surplus variables in a LPP? a slack variable is a variable that is added to an inequality constraint to transform it to an equality. In Linear programming a surplus variable is a variable which is subtracted from a constraint to turn the inequality into an equation.
This is required to turn an inequality into an equality where a linear combination of variables is greater than or equal to a given constant in the former..
5.What are the artificial variables? One type of variable introduced in a linear program model in order to find an initial basic feasible solution; an artificial variable is used for equality constraints and for greater-than or equal inequality constraints.
6.Define optimal basic feasible solution?
An optimal solution to a linear program is a feasible solution with the largest objective function value (for a maximization problem).
The value of the objective function for the optimal solution is said to be the value of the linear program.
7.Define the dual of a LPP?
Linear programming in which the maximum and minimum number are the same number. 8.What is the principle of duality in LPP? the duality principle states that
2) What is an infeasible solution? How is this condition recognized in simplex method?
A infeasible solution is one that does not satisfies all linear and non-linear constraints. When the solution is along with the artificial variable even when the aolution is optimized then its is a infeasible solution
3) What is an unbounded solution? How is this condition recognized in simplex method?
A linear program is unbounded if the optimal solution is unbounded, i.e. it is either ∞ or −∞.
In simplex when the entry values are negative its solution is unbounded.
4. Define slack and surplus variables in a LPP? a slack variable is a variable that is added to an inequality constraint to transform it to an equality. In Linear programming a surplus variable is a variable which is subtracted from a constraint to turn the inequality into an equation.
This is required to turn an inequality into an equality where a linear combination of variables is greater than or equal to a given constant in the former..
5.What are the artificial variables? One type of variable introduced in a linear program model in order to find an initial basic feasible solution; an artificial variable is used for equality constraints and for greater-than or equal inequality constraints.
6.Define optimal basic feasible solution?
An optimal solution to a linear program is a feasible solution with the largest objective function value (for a maximization problem).
The value of the objective function for the optimal solution is said to be the value of the linear program.
7.Define the dual of a LPP?
Linear programming in which the maximum and minimum number are the same number. 8.What is the principle of duality in LPP? the duality principle states that