Abstract:
The work present in this paper is based
on a comparative study of the methods of solving
Non-linear programming (NLP) problem. We
know that Kuhn-Tucker condition method is an
efficient method of solving Non-linear
programming problem. By using Kuhn-Tucker
conditions the quadratic programming (QP)
problem reduced to form of Linear
programming(LP) problem, so practically simplex
type algorithm can be used to solve the quadratic
programming problem (Wolfe’s Algorithm).We
have arranged the materials of this paper in
following way. Fist we discuss about non-linear
programming problems. In second step we discuss
Kuhn- Tucker condition method of solving NLP
problems. Finally we compare the solution
obtained by Kuhn- Tucker condition method with
other methods. For problem so consider we use
MATLAB programming to graph the constraints
for obtaining feasible region. Also we plot the
objective functions for determining optimum
points and compare the solution thus obtained
with exact solutions.