[PERSON] and [PERSON] [22] performed an optimization analysis for sCO\({}_{2}\)-BC by adding a reheater between the two stages of the turbine. They assessed the effects of various cycles, including the pressure ratio (\(Pr\)), compressor's inlet temperature, effectiveness of the high-temperature recuperator (HTR) (\(\epsilon_{HTR}\)) and effectiveness of low-temperature recuperator (LTR) (\(\epsilon_{HTR}\)). Both reported that the cycle's efficiency can be enhanced considerably by utilizing the reheating technology. Similarly, [PERSON] et al. [20] and [PERSON] et al. [23] attempted to optimize the recompression cycle utilizing a central receiver solar plant \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Application** & **Cycle Type** & **Motivation** & **Size (MWe)** & **Temperature [\({}^{\circ}\)C]** & **Pressure [MPa]** \\ \hline Nuclear & Indirect sCO\({}_{2}\) & Efficiency, size, water & & 10–300 & 350–700 & 20–35 \\ Fossil Fuel & Indirect sCO\({}_{2}\) & Efficiency, water reduction & 300–600 & 550–900 & 15–30 \\ Concentrated solar power & Indirect sCO\({}_{2}\) & Efficiency, size, water & 10–100 & 500–1000 & 35 \\ Shipboard propulsion & Indirect sCO\({}_{2}\) & Efficiency, size & \(<\)10–10 & 200–300 & 15–25 \\ Shipboard house power & Indirect sCO\({}_{2}\) & Efficiency, size & \(<\)1–10 & 230–650 & 15–35 \\ Waste heat recovery & Indirect sCO\({}_{2}\) & Efficiency, size, simple cycles & 1–10 & \(<\)230–650 & 15–35 \\ Geothermal & & Efficiency & 1–50 & 100–300 & 15 \\ Fossil fuel (Syn Gas) & Direct sCO\({}_{2}\) & Efficiency, simple cycles & 300–600 & 1100–1500 & 35 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Potential application of sCO\({}_{2}\)-BC [2]. (CSP) as a heat source and for marine gas-turbine systems. [PERSON] et al. [24] investigated the impact of heat exchange and pressure losses on the performance of sCO\({}_{2}\)-BC. [PERSON] et al. [3] evaluated the recompression cycle using mean line design models of the individual components and also evaluated impacts of different channel geometries of PCHEs on the performance of the cycle [25; 26]. [PERSON] et al. [27] conducted an exergy destruction assessment to explore the effects of different ambient and water temperatures on the performance of sCO\({}_{2}\)-BC [PERSON] and [PERSON] developed an optimization study for the sCO\({}_{2}\)-BC's expander system. From the studies mentioned above, it can be seen that even though numerous investigations have been conducted to analyze sCO\({}_{2}\)-BC, there is no optimization study available in the literature based on a genetic algorithm. Until now, only search algorithms have been employed. In this context, the current study provides a detailed analysis of sCO\({}_{2}\)-BC. A mathematical model for sCO\({}_{2}\)-BC has been developed and coded in Matlab\(\copyright\). Properties of sCO\({}_{2}\) have been integrated into the code by linking the NIST's Refprop to Matlab using an in-house code. The effects of the various components on the overall performance of sCO\({}_{2}\)-BC have been investigated, which has never been reported in previous studies to the authors' knowledge. Moreover, the genetic algorithm was employed to optimize the cycle parameters to maximize their efficiency.