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.
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