Abstract:
Optimal design of Oxygen production system along with production rate, pressure in
storage tank, compressor power and storage tank volume constraints were formulated in this study. In
formulated optimization Oxygen production system the constraints were handled by using the exterior
penalty functions. The derivative free methods were used for the optimization of this formulated
problem. The methods were basically designed for unconstrained optimization problems. The optimum
results of the Oxygen production optimization model were obtained by using MATLAB programming
environment which demonstrated the effectiveness and applicability of the model. It was observed that
the results of Nelder-Mead method were better than Hooke-Jeeves method. Nelder-Mead method was
more efficient with respect to its function value and its number of function evaluations.