# An Innovative Enhanced JAYA Algorithm for the Optimization of Continuous and Discrete Problems
## 4 Results and Discussion
### Numerical Evaluation
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Function** & **Algorithm** & **Mean** & **STD** & **Worst** & **Best** \\ \hline \multirow{8}{*}{F15} & SCA & 7.14393E\(-\)01 & 1.55307E+00 & 3.49250E+00 & 4.10077E\(-\)03 \\ \cline{2-5}  & DA & 1.56568E+01 & 8.10350E+00 & 2.48120E+01 & 6.28732E+00 \\ \cline{2-5}  & GOA & 7.89100E+00 & 3.77821E+00 & 1.38955E+01 & 4.12501E+00 \\ \cline{2-5}  & MFO 0.00005E+03 & 8.94427E+03 & 2.00000E+04 & 6.34759E\(-\)03 \\ \cline{2-5}  & PSO & 6.02316E\(-\)04 & 1.01510E\(-\)03 & 2.41332E\(-\)03 & 4.86309E\(-\)05 \\ \cline{2-5}  & CSA & 1.55546E+00 & 1.38591E+00 & 3.93547E+00 & 6.87757E\(-\)01 \\ \cline{2-5}  & JAYA & 7.20921E+00 & 8.28920E+00 & 2.02500E+01 & 2.75554E\(-\)01 \\ \cline{2-5}  & EJAYA & 1.24909E\(-\)08 & 2.79305E\(-\)08 & 6.24544E\(-\)08 & 3.69422E\(-\)31 \\ \hline \multirow{8}{*}{F16} & SCA & 3.07360E+00 & 4.81821E+00 & 1.10442E+01 & 6.16382E\(-\)03 \\ \cline{2-5}  & DA & 2.10898E+07 & 1.38457E+07 & 4.32807E+07 & 1.04843E+07 \\ \cline{2-5}  & GOA & 8.44624E+06 & 5.85351E+06 & 1.67968E+07 & 1.04565E+06 \\ \cline{2-5}  & MFO 0.00000E+04 & 7.07106E+03 & 2.00000E+04 & 3.94652E\(-\)02 \\ \cline{2-5}  & PSO & 4.11067E\(-\)04 & 6.21091E\(-\)04 & 1.49353E\(-\)03 & 1.74388E\(-\)06 \\ \cline{2-5}  & CSA & 1.89219E+06 & 5.04692E+05 & 2.41621E+06 & 1.11103E+06 \\ \cline{2-5}  & JAYA & 2.39280E+01 & 4.74185E+01 & 1.08578E+02 & 2.48714E\(-\)01 \\ \cline{2-5}  & EJAYA & 2.35507E\(-\)50 & 3.86420E\(-\)50 & 9.19815E\(-\)50 & 1.42800E\(-\)52 \\ \hline \multirow{8}{*}{F17} & SCA & 2.01648E\(-\)01 & 1.16116E+00 & 1.34264E+00 & \(-\)1.04745E+00 \\ \cline{2-5}  & DA & 7.64331E+02 & 7.72456E+02 & 2.10686E+03 & 2.13861E+02 \\ \cline{2-5}  & GOA & 7.06963E+00 & 7.54351E+00 & 1.99448E+01 & 2.12165E\(-\)01 \\ \cline{2-5}  & MFO 0.00002E+03 & 5.47721E+03 & 1.00000E+04 & 1.61671E\(-\)02 \\ \cline{2-5}  & PSO & \(-\)1.00752E+00 & 2.60779E\(-\)01 & \(-\)5.41030E\(-\)01 & \(-\)1.12500E+00 \\ \cline{2-5}  & CSA & 2.20753E+00 & 2.86786E+00 & 7.21599E+00 & 3.35290E\(-\)02 \\ \cline{2-5}  & JAYA & \(-\)1.09034E+00 & 1.92613E\(-\)02 & \(-\)1.05758E+00 & \(-\)1.10662E+00 \\ \cline{2-5}  & EJAYA & \(-\)1.12500E+00 & 1.48667E\(-\)06 & \(-\)1.12500E+00 & \(-\)1.12500E+00 \\ \hline \multirow{8}{*}{F18} & SCA & 1.44106E\(-\)04 & 1.15066E\(-\)04 & 2.60150E\(-\)04 & 3.83455E\(-\)07 \\ \cline{2-5}  & DA & 1.63188E+02 & 9.89062E+01 & 2.76239E+02 & 3.26153E+01 \\ \cline{2-5}  & GOA & 1.57916E+00 & 1.93039E+00 & 4.88053E+00 & 5.46532E\(-\)02 \\ \cline{2-5}  & MFO 0.00002E+03 & 5.47721E+03 & 1.00000E+04 & 2.25808E\(-\)03 \\ \cline{2-5}  & PSO & 7.19291E\(-\)07 & 9.89483E\(-\)07 & 2.03067E\(-\)06 & 7.13614E\(-\)10 \\ \cline{2-5}  & CSA & 1.03218E+00 & 5.14330E\(-\)01 & 1.73690E+00 & 4.04716E\(-\)01 \\ \cline{2-5}  & JAYA & 2.51463E\(-\)05 & 1.45855E\(-\)05 & 4.44227E\(-\)05 & 1.14162E\(-\)05 \\ \cline{2-5}  & EJAYA & 1.45987E\(-\)53 & 1.60395E\(-\)53 & 3.99903E\(-\)53 & 1.27040E\(-\)54 \\ \hline \multirow{8}{*}{F19} & SCA & 3.89447E+02 & 4.41530E+02 & 7.01655E\(+\)02 & 7.72382E+01 \\ \cline{2-5}  & DA & 7.64813E+04 & 4.62739E+04 & 1.09202E+05 & 4.37607E\(+\)04 \\ \cline{2-5}  & GOA & 2.01840E+03 & 1.15525E+03 & 2.83529E+03 & 1.20152E\(+\)03 \\ \cline{2-5}  & MFO 0.00000E+03 & 7.07106E+03 & 1.00000E+04 & 5.75507E\(-\)03 \\ \cline{2-5}  & PSO & 1.60102E+02 & 2.00487E+02 & 3.01868E+02 & 1.83363E\(+\)01 \\ \cline{2-5}  & CSA & 5.09682E+02 & 2.18121E+02 & 6.63916E\(+\)02 & 3.55447E\(+\)02 \\ \cline{2-5}  & JAYA & 2.37153E+05 & 2.84377E+05 & 4.38238E\(+\)05 & 3.60687E\(+\)04 \\ \cline{2-5}  & EJAYA & 1.60948E+01 & 2.13564E+00 & 1.76049E+01 & 1.45847E\(+\)01 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: _Cont._The quantity of the proposed method against other algorithms has been tabulated in Tables 1-4. However, the convergence of the algorithms, which demonstrates their process for obtaining the solution, should also be examined. In other words, if an algorithm discovers a better solution in a finite number of iterations, it is considered to have a better convergence rate.