Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Wilcoxon and Friedman Test for Group 2 and Group 3
| No. | Paired Strategy | Test Statistic | Null Hypothesis | Conclusion | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Comparison for SCSO | Total Samples | p-value (Asymp. Sig. (2-tailed)) | Friedman Mean Rank Test | |||||||
| < | = | > | Mean Rank | Rank | ||||||
| 1 | SCSO vs Improved PSO | 4 | 2 | 4 | 10 | 0.944 | SCSO – 2.00 | 2 | retain | no significant difference |
| PSO – 1.85 | 1 | |||||||||
| 2 | SCSO vs TConfig | 1 | 1 | 8 | 0.086 | SCSO – 2.00 | 2 | retain | no significant difference | |
| TConfig – 3.75 | 4 | |||||||||
| 3 | SCSO vs SITG | 3 | 1 | 6 | 0.513 | SCSO – 2.00 | 2 | retain | no significant difference | |
| SITG – 2.50 | 3 | |||||||||
| 4 | SCSO vs IPOG | 0 | 0 | 10 | 0.005 | SCSO – 2.00 | 2 | reject | SCSO outperforms | |
| IPOG – 4.90 | 5 | |||||||||
| 5 | SCSO vs ABCVS | 1 | 1 | 3 | 5 | 0.715 | SCSO – 1.70 | 2 | retain | no significant difference |
| ABCVS – 1.30 | 1 | |||||||||
Wilcoxon and Friedman Test for Group 1 and Group 2
| No. | Paired Strategy | Test Statistic | Null Hypothesis | Conclusion | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Comparison for SCSO | Total Samples | p -value (Asymp. Sig. (2-tailed)) | Friedman Mean Rank Test | |||||||
| < | = | > | Mean Rank | Rank | ||||||
| 1. | SCSO vs ACOF | 18 | 4 | 3 | 25 | 0.002 | SCSO – 5.76 | 7 | reject | ACOF outperforms |
| ACOF – 3.32 | 2 | |||||||||
| 2. | SCSO vs TTSGA | 19 | 3 | 3 | 0.002 | SCSO – 5.76 | 7 | reject | TTSGA outperforms | |
| TTSGA – 3.88 | 3 | |||||||||
| 3. | SCSO vs HHH | 18 | 2 | 5 | 0.01 | SCSO – 5.76 | 7 | reject | HHH outperforms | |
| HHH – 2.84 | 1 | |||||||||
| 4. | SCSO vs HSS | 19 | 1 | 5 | 0.005 | SCSO – 5.76 | 7 | reject | HSS outperforms | |
| HSS – 3.92 | 4 | |||||||||
| 5. | SCSO vs PSTG | 16 | 4 | 5 | 0.055 | SCSO – 5.76 | 7 | retain | no significant difference | |
| PSTG – 4.86 | 6 | |||||||||
| 6. | SCSO vs CS | 17 | 2 | 6 | 0.083 | SCSO – 5.76 | 7 | retain | no significant difference | |
| CS – 4.16 | 5 | |||||||||
| 7. | SCSO vs TVG | 0 | 4 | 21 | 0.001 | SCSO – 5.76 | 7 | reject | SCSO outperforms | |
| TVG – 7.92 | 8 | |||||||||
| 8. | SCSO vs IPOG | 2 | 0 | 23 | 0.001 | SCSO – 5.76 | 7 | reject | SCSO outperforms | |
| IPOG – 8.34 | 9 | |||||||||
| 9. | SCSO vs WFS | 8 | 6 | 8 | 22 | 0.532 | SCSO – 2.27 | 3 | ||
| WFS – 2.23 | 2 | retain | no significant difference | |||||||
| 10. | SCSO vs GSTG | 14 | 6 | 2 | 0.013 | SCSO – 2.27 | 3 | reject | GSTG outperforms | |
| GSTG – 1.50 | 1 | |||||||||
| 11. | SCSO vs TConfig | 14 | 3 | 5 | 22 | 0.099 | SCSO – 1.30 | 1 | retain | no significant difference |
| TConfig – 1.70 | 2 | |||||||||
| 12. | SCSO vs WOA | 16 | 1 | 0 | 17 | 0.001 | SCSO – 1.97 | 2 | reject | WOA outperforms |
| WOA – 1.03 | 1 | |||||||||
| 13. | SCSO vs QLSCA | 8 | 2 | 2 | 12 | 0.012 | SCSO – 2.50 | 3 | reject | QLSCA outperforms |
| QLSCA – 1.63 | 1 | |||||||||
| 14. | SCSO vs ATBLO | 8 | 2 | 2 | 0.012 | SCSO – 2.50 | 3 | reject | ATBLO outperforms | |
| ATBLO – 1.88 | 2 | |||||||||
Result Test Suite Size Performance for Group 1
| CA(t,v7) | Metaheuristic-based Strategies | Computational-based Strategies | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| t | v | 2026 | 2024 | 2023 | 2022 | 2020 | 2019 | 2018 | 2017 | 2016 | 2011 | 2010 | 2009 | 2010 | 2007 | 1990s |
| SCSO | WFS | ACOF | GSTG | WOA | TTSGA | QLSCA | ATLBO | HHH | HSS | PSTG | CS | TVG | IPOG | TConfig | ||
| 2 | 2 | 7 | 7 | 6 | 6 | 6 | 7 | 7 | 7 | 7 | 7 | 6 | 6 | 7 | 8 | 7 |
| 3 | 15 | 15 | 15 | 15 | 14 | 15 | 15 | 15 | 14 | 14 | 15 | 15 | 15 | 17 | 15 | |
| 4 | 26 | 27 | 26 | 26 | 25 | 25 | 23 | 23 | 23 | 25 | 26 | 25 | 27 | 28 | 28 | |
| 5 | 40 | 40 | 37 | 40 | 36 | 38 | 34 | 34 | 35 | 35 | 37 | 37 | 42 | 42 | 40 | |
| 3 | 2 | 14 | 13 | 12 | 12 | 12 | 12 | 15 | 15 | 15 | 12 | 13 | 12 | 15 | 19 | 16 |
| 3 | 51 | 51 | 48 | 49 | 49 | 49 | 49 | 49 | 49 | 50 | 50 | 49 | 55 | 57 | 55 | |
| 4 | 124 | 123 | 117 | 121 | 116 | 118 | 112 | 111 | 112 | 121 | 116 | 117 | 134 | 208 | 112 | |
| 5 | 240 | 242 | 230 | 240 | 223 | 228 | 215 | 216 | 216 | 223 | 225 | 223 | 260 | 275 | 239 | |
| 4 | 2 | 30 | 25 | 30 | 26 | 27 | 29 | 31 | 31 | 31 | 29 | 29 | 27 | 31 | 48 | 36 |
| 3 | 158 | 156 | 148 | 155 | 152 | 152 | 149 | 151 | 148 | 155 | 155 | 155 | 167 | 185 | 166 | |
| 4 | 497 | 513 | 485 | 499 | 484 | 485 | 477 | 480 | 482 | 500 | 487 | 487 | 559 | 509 | 568 | |
| 5 | 1220 | X | 1174 | 1217 | NA | 1175 | 1150 | 1166 | 1153 | 1174 | 1176 | 1171 | 1385 | 1349 | 1320 | |
| 5 | 2 | 52 | 51 | 53 | 52 | 52 | 55 | X | X | 58 | 53 | 53 | 53 | 59 | 128 | 56 |
| 3 | 434 | 442 | 430 | 430 | 432 | 433 | X | X | 435 | 437 | 441 | 439 | 464 | 608 | 477 | |
| 4 | 1833 | 1861 | 1825 | 1822 | 1815 | 1821 | X | X | 1805 | 1831 | 1826 | 1845 | 2010 | 2560 | 1792 | |
| 5 | 5535 | X | 5450 | X | X | 5457 | X | X | 5413 | 5468 | 5474 | 5479 | 6257 | 8091 | X | |
| 6 | 2 | 70 | 66 | 64 | 64 | 64 | 68 | X | X | 64 | 64 | 64 | 66 | 78 | 64 | 64 |
| 3 | 949 | 955 | 970 | 971 | 945 | 957 | X | X | 853 | 916 | 977 | 973 | 1016 | 1281 | 921 | |
| 4 | 5621 | 5610 | 5450 | 5611 | 5567 | 5487 | X | X | 5478 | 4096 | 5599 | 5610 | 5978 | 4096 | X | |
| 5 | 21580 | X | 21145 | X | X | 21148 | X | X | 21107 | 21748 | 21595 | 21597 | 23218 | 28513 | X | |
| Total | 0 | 2 | 6 | 4 | 4 | 0 | 5 | 3 | 8 | 4 | 2 | 2 | 0 | 2 | 2 | |
| Optimal | 0% | 10% | 30% | 20% | 20% | 0% | 25% | 15% | 40% | 20% | 10% | 10% | 0% | 10% | 10% | |
Result Test Suite Size Performance for Group 3
| CA(t, 37) | Metaheuristic-based Strategies | Computational-based Strategies | ||||
|---|---|---|---|---|---|---|
| 2026 | 2022 | 2019 | 2015 | 2007 | 1990s | |
| t | SCSO | Improved PSO | ABCVS | SITG | IPOG | TConflg |
| 2 | 15 | 15 | 15 | 15 | 17 | 15 |
| 3 | 51 | 45 | 49 | 52 | 57 | 55 |
| 4 | 158 | 152 | 157 | 154 | 185 | 166 |
| 5 | 434 | 444 | 442 | 436 | 608 | 477 |
| 6 | 949 | 832 | 944 | 848 | 1281 | 921 |
| Total | 2 | 4 | 1 | 1 | 0 | 1 |
| Optimal | 40% | 80% | 20% | 20% | 0% | 20% |
Result Test Suite Size Performance for Group 2
| CA(t, 210) | Metaheuristic-based Strategies | Computational-based Strategies | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2026 | 2024 | 2023 | 2022 | 2022 | 2019 | 2016 | 2015 | 2011 | 2010 | 2009 | 2010 | 2007 | 1990s | |
| t | SCSO | WFS | ACOF | GSTG | ImprovedPSO | TTSGA | HHH | SITG | HSS | PSTG | CS | TVG | IPOG | TConfig |
| 2 | 8 | 8 | 8 | 8 | 9 | 8 | 8 | 9 | 7 | 8 | 8 | 10 | 10 | 9 |
| 3 | 17 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 17 | 16 | 17 | 19 | 20 |
| 4 | 34 | 38 | 39 | 27 | 39 | 36 | 36 | 44 | 37 | 37 | 36 | 41 | 49 | 45 |
| 5 | 84 | 84 | 74 | 74 | 84 | 76 | 79 | 87 | 81 | 82 | 79 | 84 | 128 | 95 |
| 6 | 159 | 160 | 153 | 156 | 168 | 155 | 153 | 174 | 158 | 158 | 157 | 168 | 352 | 183 |
| Total | 0 | 1 | 3 | 3 | 1 | 1 | 2 | 1 | 2 | 0 | 1 | 0 | 0 | 0 |
| Optimal | 0% | 20% | 60% | 60% | 20% | 20% | 40% | 20% | 40% | 0% | 20% | 0% | 0% | 0% |
Classification Representation of Input Parameters
| Input parameter | U | L | D | M | C |
|---|---|---|---|---|---|
| Possible Value | U1 | L1 | D1 | M1 | C1 |
| U2 | L2 | D2 | M2 | C2 | |
| L3 | M3 |
