essential attributes of linear programming models and its uses
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
the significance of duality theory of linear programming
It depends on the problem: you may have to use integer programming rather than linear programming.
you dont.
There is no limit.
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
you learn linear programming before you learn the transportation problem.
Infeasibility occurs in a linear programming problem when there is no solution that satisfies all the constraints simultaneously.
Integer programming is a subset of linear programming where the feasible region is reduced to only the integer values that lie within it.
the significance of duality theory of linear programming
The LPP is a class of mathematical programming where the functions representing the objectives and the constraints are linear. Optimisation refers to the maximisation or minimisation of the objective functions. The following are the characteristics of this form. • All decision variables are non-negative. • All constraints are of = type. • The objective function is of the maximisation type.
It depends on the problem: you may have to use integer programming rather than linear programming.
The strong duality proof for linear programming problems states that if a linear programming problem has a feasible solution, then its dual problem also has a feasible solution, and the optimal values of both problems are equal. This proof helps to show the relationship between the primal and dual problems in linear programming.
you dont.
Yes, a linear programming problem can have exactly two optimal solutions. This will be the case as long as only two decision variables are used within the problem.
the phenomenon of obtaining a degenerate basic feasible solution in a linear programming problem known as degeneracy.