Research Article
On a Dual Direct Cosine Simplex Type Algorithm and Its Computational Behavior
Table 8
A comparison between the two-phase method and the proposed DDCA.
| Problem name | Iteration number | Difference in iteration number | DCA | Simplex | Phase I | Phase II | Phase I&II | Phase I | Phase II | Phase I&II | Phase I | Phase II | Phase I&II |
| adlittle | 21 | 99 | 120 | 38 | 100 | 138 | 17 | 1 | 18 | afiro | 6 | 7 | 13 | 10 | 7 | 17 | 4 | 0 | 4 | bandm | 828 | 323 | 1151 | 1042 | 242 | 1284 | 214 | −81 | 133 | beaconfd | 132 | 17 | 149 | 154 | 37 | 191 | 22 | 20 | 42 | brandy | 731 | 82 | 813 | 521 | 71 | 592 | −210 | −11 | −221 | etamacro | 940 | 355 | 1295 | 944 | 423 | 1367 | 4 | 68 | 72 | fit1d | 52 | 1664 | 1716 | 94 | 1355 | 1449 | 42 | −309 | −267 | fit1p | 820 | 2288 | 3108 | 1441 | 1358 | 2799 | 621 | −930 | −309 | grow15 | 285 | 205 | 490 | 303 | 485 | 788 | 18 | 280 | 298 | grow22 | 425 | 245 | 670 | 443 | 704 | 1147 | 18 | 459 | 477 | grow7 | 131 | 78 | 209 | 143 | 168 | 311 | 12 | 90 | 102 | kb2 | 74 | 25 | 99 | 397 | 38 | 435 | 323 | 13 | 336 | lotfi | 208 | 164 | 372 | 126 | 77 | 203 | −82 | −87 | −169 | recipelp | 300 | 6 | 306 | 299 | 28 | 327 | −1 | 22 | 21 | sc105 | 54 | 46 | 100 | 64 | 42 | 106 | 10 | −4 | 6 | sc205 | 118 | 110 | 228 | 128 | 115 | 243 | 10 | 5 | 15 | sc50a | 24 | 20 | 44 | 29 | 23 | 52 | 5 | 3 | 8 | sc50b | 32 | 14 | 46 | 37 | 21 | 58 | 5 | 7 | 12 | scagr25 | 503 | 869 | 1372 | 639 | 218 | 857 | 136 | −651 | −515 | scagr7 | 126 | 85 | 211 | 159 | 45 | 204 | 33 | −40 | −7 | scfxm1 | 753 | 252 | 1005 | 802 | 211 | 1013 | 49 | −41 | 8 | scfxm2 | 1592 | 322 | 1914 | 1478 | 386 | 1864 | −114 | 64 | −50 | scfxm3 | 1947 | 490 | 2437 | 2324 | 591 | 2915 | 377 | 1 | 378 | scsd1 | 90 | 200 | 290 | 139 | 206 | 345 | 49 | 6 | 55 | scsd6 | 216 | 184 | 400 | 170 | 447 | 617 | −46 | 263 | 217 | sctap1 | 453 | 161 | 614 | 705 | 163 | 868 | 252 | 2 | 254 | share1b | 352 | 224 | 576 | 363 | 158 | 521 | 11 | −66 | −55 | share2b | 125 | 50 | 175 | 112 | 27 | 139 | −13 | −23 | −36 | shell | 795 | 264 | 1059 | 843 | 209 | 1052 | 48 | −55 | −7 | ship04 l | 700 | 143 | 843 | 728 | 78 | 806 | 28 | −65 | −37 | ship04s | 488 | 106 | 594 | 499 | 58 | 557 | 11 | −48 | −37 | stair | 1019 | 323 | 1342 | 1203 | 265 | 1468 | 184 | −58 | 126 | stocfor1 | 81 | 12 | 93 | 90 | 29 | 119 | 9 | 17 | 26 | Sum | 14421 | 9433 | 23854 | 16467 | 8385 | 24852 | | | | Average | 437 | 285.848 | 722.848 | 499 | 254.091 | 753.091 | | | | Max | 1947 | 2288 | 3108 | 2324 | 1358 | 2915 | | | | Min | 6 | 6 | 13 | 10 | 7 | 17 | | | |
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