## 6 Combined Algorithm of PSO and ACO
### Restart of the Search Process When It Gets Stuck
Thus, It is found from the results of the BWAS proposed model are several folds efficient that other existing variants. The Table 5 summarized the performance of the proposed approach in comparison with exist literature. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**Proposed BWAS Algo**} & \multicolumn{4}{c}{**MMAS**} \\ \hline
**Problem** & \multicolumn{2}{c}{**ACO**} & \multicolumn{2}{c}{**ACO-PSO**} & \multicolumn{2}{c}{**ACO**} & \multicolumn{2}{c}{**ACO-PSO**} \\ \hline  & **Best** & **Worst** & **Best** & **Worst** & **Best** & **Worst** & **Best** & **Worst** \\ \hline Att48 & 10,436 & 35,522 & 10,401 & 35,071 & 34,504 & 36,539 & 35,123 & 35,514 \\ \hline Berlin52 & 7498 & 8106 & 7441 & 76,091 & 8054 & 8436 & 7663 & 7750 \\ \hline Bier127 & 133,246 & 153,792 & 121,873 & 124,731 & 208,175 & 214,690 & 124,842 & 125,812 \\ \hline kroE100 & 24,391 & 26,382 & 21,736 & 23,746 & 36,189 & 37,975 & 23,784 & 24,077 \\ \hline Lin105 & 16,267 & 18,371 & 13,079 & 14,787 & 25,429 & 27,571 & 14,990 & 15,100 \\ \hline Lin318 & 41,998 & 56,728 & 41,268 & 47,583 & 251,618 & 256,438 & 47,585 & 48,205 \\ \hline Pr124 & 62,532.5 & 66,282 & 60,192.6 & 64,575 & 64,513 & 66,282 & 60,999.3 & 61,496 \\ \hline Pr107 & 47,236.5 & 49,727 & 45,927 & 48,274 & 68,871 & 76,043 & 46,249 & 46,554 \\ \hline Ch130 & 7117.1 & 8367 & 6294 & 6498 & 13,441 & 13,952 & 6473 & 6525 \\ \hline Ch150 & 7446.3 & 7728 & 6593 & 6639 & 16,926 & 17,864 & 6852 & 6886 \\ \hline Ei151 & 436.17 & 451 & 440 & 449 & 438 & 463 & 448 & 452 \\ \hline Ei176 & 564.96 & 567.1 & 559 & 560 & 643 & 691 & 568 & 570 \\ \hline Ei1101 & 627.28 & 682 & 598 & 647 & 973 & 1006 & 700 & 706 \\ \hline kroA100 & 23,979 & 17,393 & 20,478 & 21,837 & 34,573 & 39,422 & 22,387 & 23,096 \\ \hline kroC100 & 22,857 & 24,748 & 18,539 & 20,378 & 36,260 & 39,123 & 21,579 & 21,804 \\ \hline Pr144 & 59,644 & 61,837 & 56,939 & 58,237 & 213,303 & 225,108 & 59,443 & 59,727 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Algorithm Performance Chart. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**Proposed BWAS Algo**} & \multicolumn{4}{c}{**MMAS**} \\ \hline
**Problem** & \multicolumn{2}{c}{**PSO**} & \multicolumn{2}{c}{**ACO-PSO**} & \multicolumn{2}{c}{**PSO**} & \multicolumn{2}{c}{**ACO-PSO**} \\ \hline  & **Best** & **Worst** & **Best** & **Worst** & **Best** & **Worst** & **Best** & **Worst** \\ \hline Att48 & 10,398 & 41,135 & 10,368 & 35,071 & 41,307 & 43,477 & 35,123 & 35,514 \\ \hline Berlin52 & 7383 & 8906 & 7326 & 76,091 & 8752 & 9565 & 7663 & 7750 \\ \hline Bier127 & 178,926 & 188,165 & 121,873 & 124,731 & 188,651 & 196,774 & 124,842 & 125,812 \\ \hline kroE100 & 38,573 & 39,247 & 21,736 & 23,746 & 37,251 & 40,786 & 23,784 & 24,077 \\ \hline Lin105 & 26,914 & 27,452 & 13,079 & 14,787 & 28,149 & 28,925 & 14,990 & 15,100 \\ \hline Lin318 & 41,698 & 159,879 & 41,063 & 47,583 & 155,706 & 158,259 & 47,585 & 48,205 \\ \hline Pr124 & 61,319 & 63,726 & 60,192.6 & 64,575 & 61,727.2 & 65,436 & 60,999.3 & 61,496 \\ \hline Pr107 & 101,181 & 115,431 & 45,927 & 48,274 & 107,160 & 129,760 & 46,249 & 46,554 \\ \hline Ch130 & 10,054 & 11,038 & 6294 & 6498 & 11,179 & 12,083 & 6473 & 6525 \\ \hline Ch150 & 10,084 & 12,156 & 6593 & 6639 & 12,804 & 13,512 & 6852 & 6886 \\ \hline Ei151 & 410 & 499 & 443 & 449 & 511 & 533 & 448 & 452 \\ \hline Ei176 & 665 & 701 & 559 & 560 & 753 & 760 & 568 & 570 \\ \hline Ei1101 & 615 & 902 & 598 & 647 & 905 & 956 & 700 & 706 \\ \hline kroA100 & 35,114 & 38,162 & 20,478 & 21,837 & 37,413 & 39,595 & 22,387 & 23,096 \\ \hline kroC100 & 35,034 & 39,873 & 18,539 & 20,378 & 38,440 & 41,125 & 21,579 & 21,804 \\ \hline Pr144 & 149,376 & 179,837 & 56,939 & 58,237 & 164,662 & 187,458 & 59,443 & 59,727 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Algorithm Performance Chart.