The MOPSO approach was used to find the Pareto optimal set of the best cascade parameters. To achieve a desired concentration at the waste and product streams, using mass material balance, the objective functions were to reduce the number of machines and the total flow of an optimal cascade. When comparing the number of centrifuge machines (NCMs) to the percentage difference between the desired and calculated concentration (DDCC) and the sum of the DDCC and the DDCF, the Pareto Front exhibited linear behavior. As a result, the sum of the DDCC and DDCF values for 6364 machines was 0.002%, while it was 3% for 6175 machines. These linear changes were not seen in comparison to the NCMs with the percentage difference between the desired and calculated flow rate (DDCF). A similar scenario was repeated when the total flow was employed instead of the NCMs in the second test case. The results showed that when the total flow decreased, the two parameters, DDCC and DDCF, had a rising tendency. However, there were a few exceptions.
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