# Bi-Objective Power Optimization of Radio Stripe Uplink Communications
## 5 Conclusions  
In this work, an MO MH approach based on the DE algorithm is developed to perform a UL UE power optimization in an RS network. The optimization problem is defined by two metrics to be maximized, the minimum SE of the UE with the worst channel conditions, max-min fairness, and the overall network throughput, max-sum rate. The bi-objective approach is able to provide balanced solutions unveiling relevant trade-offs between the SE performances to assist design decision-making. Conceptualization, F.C., M.G., V.S., R.D. and C.H.A. ; methodology, F.C., M.G., V.S., R.D. and C.H.A. ; software, F.C. ; validation, F.C., M.G., V.S., R.D. and C.H.A. ; formal analysis, F.C., M.G., V.S., R.D. and C.H.A. ; investigation, F.C., M.G., V.S., R.D. and C.H.A. ; resources, M.G., V.S., R.D. and C.H.A. ; data curation, F.C. ; writing--original draft preparation, F.C. ; writing--review and editing, F.C., M.G., V.S., R.D. and C.H.A. ; visualization, F.C., M.G. V.S., R.D. and C.H.A. ; supervision, M.G., V.S., R.D. and C.H.A. ; project administration, M.G., V.S., R.D. and C.H.A. ; funding acquisition, F.C., M.G., V.S., R.D. and C.H.A. All authors have read and agreed to the published version of the manuscript. This work is funded by FCT/MEC through national funds and when applicable co-funded by European Regional Development Fund (FEDER), the Competitiveness and Internationalization Operational Programme (COMPETE 2020) of the Portugal 2020 framework, Regional OP Centro (POCI-01-0145-FEDER-030588) and Regional Operational Program of Lisbon (Lisboa-01-0145-FEDER-030588) and Financial Support National Public (FCT)(OE), under the projects UIDB/50008/2020, UIDP/50008/2020, UIBD/00308/2020, MASSIVE5G (PTDC/EEI-TEL/30588/2017) and the PhD grant 2020.08124.BD. **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable. **Data Availability Statement:** No new data were created or analyzed in this study. Data sharing is not applicable to this article. **Conflicts of Interest:** The authors declare no conflict of interest. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & \begin{tabular}{c} **No** \\ **Optimization** \\ \end{tabular} & \multicolumn{2}{c}{\begin{tabular}{c} **Single-Objective** \\ **Optimization** \\ \end{tabular} } & \multicolumn{2}{c}{\begin{tabular}{c} **Bi-Objective** \\ **Optimization** \\ \end{tabular} } \\ \cline{2-7}  & \begin{tabular}{c} **Full Power** \\ **(\(P_{max}\))** \\ \end{tabular} & \begin{tabular}{c} **Max–Min** \\ **Fairness** \\ \end{tabular} & \begin{tabular}{c} **Max–Sum** \\ **Rate** \\ **Rate** \\ \end{tabular} & \
\begin{tabular}{c} **Sum Rate Gain** \\ **Keeping Worst UE SE** \\ \end{tabular} &
\begin{tabular}{c} **Worst UE SE Gain** \\ **Keeping Sum Rate** \\ \end{tabular} \\ \hline \multirow{2}{*}{Scenario 1 High \(P_{max}\)} & Worst UE SE & 0.318 & 1.21 & \(2.67\times 10^{-7}\) & \multirow{2}{*}{70.2\%} & \multirow{2}{*}{207\%} \\ \cline{2-7}  & Sum Rate & 56.8 & 24.2 & 104 & & \\ \hline \multirow{2}{*}{Scenario 1 Low \(P_{max}\)} & Worst UE SE & 0.139 & 1.17 & \(3.09\times 10^{-7}\) & \multirow{2}{*}{47.5\%} & \multirow{2}{*}{529\%} \\ \cline{2-7}  & Sum Rate & 43.2 & 23.5 & 67 & & \\ \hline \multirow{2}{*}{Scenario 2 High \(P_{max}\)} & Worst UE SE & 1.64 & 3.68 & \(3.58\times 10^{-7}\) & \multirow{2}{*}{37.9\%} & \multirow{2}{*}{115\%} \\ \cline{2-7}  & Sum Rate & 51.5 & 44.1 & 75 & & \\ \hline \multirow{2}{*}{Scenario 2 Low \(P_{max}\)} & Worst UE SE & 1.46 & 2.26 & \(4.14\times 10^{-7}\) & \multirow{2}{*}{11.1\%} & \multirow{2}{*}{26\%} \\ \cline{2-7}  & Sum Rate & 36.8 & 27.1 & 46 & & \\ \hline \multirow{2}{*}{Scenario 3 High \(P_{max}\)} & Worst UE SE & 4.57 & 5.03 & 2.96 & \multirow{2}{*}{10.1\%} & \multirow{2}{*}{7\%} \\ \cline{2-7}  & Sum Rate & 33.6 & 30.2 & 40.4 & & \\ \hline \multirow{2}{*}{Scenario 3 Low \(P_{max}\)} & Worst UE SE & 1.76 & 4.12 & 2.36 & & \\ \cline{2-7}  & Sum Rate & 27.3 & 24.7 & 28.5 & & \\ \hline \hline \end{tabular}
\end{table}