From: A modified three-term PRP conjugate gradient algorithm for optimization models
No. | Dimension | NTT-PRP-CG-A | Norm-PRP-A | ||||
---|---|---|---|---|---|---|---|
Ni | Nfg | CPU time | Ni | Nfg | CPU time | ||
1 | 3,000 | 15 | 43 | 0.468003 | 31 | 92 | 0.546004 |
12,000 | 15 | 43 | 0.842405 | 56 | 158 | 1.778411 | |
30,000 | 15 | 43 | 1.482009 | 36 | 113 | 2.730018 | |
2 | 3,000 | 57 | 131 | 0.374402 | 55 | 126 | 0.374402 |
12,000 | 63 | 144 | 1.138807 | 62 | 142 | 0.920406 | |
30,000 | 66 | 152 | 3.08882 | 66 | 152 | 2.511616 | |
3 | 3,000 | 54 | 186 | 0.124801 | 117 | 375 | 0.202801 |
12,000 | 67 | 233 | 0.234001 | 144 | 479 | 0.514803 | |
30,000 | 73 | 238 | 0.530403 | 159 | 522 | 1.62241 | |
4 | 3,000 | 59 | 198 | 0.296402 | 207 | 595 | 0.936006 |
12,000 | 34 | 139 | 0.733205 | 264 | 801 | 4.305628 | |
30,000 | 74 | 256 | 4.118426 | 228 | 618 | 8.907657 | |
5 | 3,000 | 23 | 68 | 0.093601 | 39 | 106 | 0.124801 |
12,000 | 23 | 69 | 0.265202 | 39 | 109 | 0.390003 | |
30,000 | 21 | 64 | 0.826805 | 47 | 135 | 1.279208 | |
6 | 3,000 | 80 | 185 | 0.124801 | 80 | 185 | 0.093601 |
12,000 | 103 | 232 | 0.405603 | 103 | 232 | 0.343202 | |
30,000 | 102 | 235 | 1.216808 | 102 | 235 | 0.998406 | |
7 | 3,000 | 1,000 | 2,002 | 1.045207 | 357 | 943 | 0.421203 |
12,000 | 1,000 | 2,002 | 3.16682 | 835 | 2,257 | 2.808018 | |
30,000 | 1,000 | 2,002 | 9.781263 | 1,000 | 2,779 | 9.734462 | |
8 | 3,000 | 21 | 47 | 0.0468 | 19 | 46 | 0.0312 |
12,000 | 20 | 44 | 0.093601 | 19 | 46 | 0.093601 | |
30,000 | 20 | 44 | 0.296402 | 19 | 46 | 0.265202 | |
9 | 3,000 | 12 | 26 | 0.0312 | 12 | 26 | 0.0312 |
12,000 | 12 | 26 | 0.0468 | 12 | 26 | 0.0624 | |
30,000 | 12 | 26 | 0.202801 | 12 | 26 | 0.156001 | |
10 | 3,000 | 2 | 13 | 0.0312 | 2 | 13 | 0.0312 |
12,000 | 2 | 13 | 0.124801 | 2 | 13 | 0.093601 | |
30,000 | 2 | 13 | 0.312002 | 2 | 13 | 0.280802 | |
11 | 3,000 | 81 | 194 | 0.171601 | 24 | 101 | 0.0624 |
12,000 | 91 | 247 | 0.764405 | 15 | 59 | 0.202801 | |
30,000 | 11 | 35 | 0.436803 | 13 | 50 | 0.280802 | |
12 | 3,000 | 17 | 36 | 0.0468 | 14 | 33 | 0.0624 |
12,000 | 19 | 40 | 0.171601 | 14 | 33 | 0.124801 | |
30,000 | 19 | 40 | 0.499203 | 14 | 33 | 0.343202 | |
13 | 3,000 | 23 | 86 | 0.093601 | 22 | 84 | 0.078 |
12,000 | 42 | 111 | 0.452403 | 42 | 111 | 0.468003 | |
30,000 | 2 | 13 | 0.358802 | 2 | 13 | 0.327602 | |
14 | 3,000 | 6 | 15 | 0.717605 | 6 | 15 | 0.733205 |
12,000 | 6 | 15 | 7.004445 | 5 | 13 | 5.709637 | |
30,000 | 3 | 8 | 14.258491 | 3 | 8 | 13.587687 | |
15 | 3,000 | 38 | 85 | 1.794011 | 66 | 176 | 3.04202 |
12,000 | 41 | 102 | 17.924515 | 60 | 169 | 28.09578 | |
30,000 | 44 | 114 | 75.395283 | 68 | 194 | 120.245571 | |
16 | 3,000 | 20 | 42 | 0.0624 | 20 | 42 | 0 |
12,000 | 24 | 50 | 0.171601 | 24 | 50 | 0.156001 | |
30,000 | 24 | 50 | 0.483603 | 24 | 50 | 0.436803 | |
17 | 3,000 | 24 | 55 | 0.156001 | 31 | 71 | 0.218401 |
12,000 | 33 | 73 | 0.764405 | 29 | 74 | 0.717605 | |
30,000 | 48 | 103 | 3.042019 | 30 | 81 | 1.996813 | |
18 | 3,000 | 3 | 10 | 0.0156 | 13 | 43 | 0.0312 |
12,000 | 3 | 10 | 0.0312 | 13 | 43 | 0.0156 | |
30,000 | 3 | 10 | 0.0312 | 14 | 47 | 0.124801 | |
19 | 3,000 | 3 | 9 | 0 | 3 | 9 | 0 |
12,000 | 3 | 9 | 0.0468 | 3 | 9 | 0.0312 | |
30,000 | 3 | 9 | 0.124801 | 3 | 9 | 0.124801 | |
20 | 3,000 | 33 | 82 | 0.0312 | 26 | 74 | 0.0312 |
12,000 | 11 | 61 | 0.0624 | 5 | 35 | 0.0312 | |
30,000 | 5 | 35 | 0.093601 | 20 | 67 | 0.218401 | |
21 | 3,000 | 25 | 59 | 0.093601 | 27 | 63 | 0.0624 |
12,000 | 27 | 63 | 0.249602 | 26 | 60 | 0.187201 | |
30,000 | 25 | 58 | 0.530403 | 27 | 63 | 0.530403 | |
22 | 3,000 | 6 | 31 | 0.0312 | 7 | 42 | 0 |
12,000 | 6 | 31 | 0.0624 | 5 | 21 | 0.0624 | |
30,000 | 6 | 31 | 0.218401 | 5 | 21 | 0.124801 | |
23 | 3,000 | 134 | 383 | 0.670804 | 334 | 986 | 1.52881 |
12,000 | 147 | 416 | 2.652017 | 452 | 1,309 | 7.73765 | |
30,000 | 114 | 330 | 5.304034 | 291 | 854 | 12.776482 | |
24 | 3,000 | 28 | 90 | 0.0624 | 50 | 126 | 0.109201 |
12,000 | 31 | 108 | 0.249602 | 60 | 146 | 0.405603 | |
30,000 | 28 | 97 | 0.686404 | 67 | 160 | 1.170007 | |
25 | 3,000 | 28 | 56 | 0.0312 | 28 | 56 | 0.0312 |
12,000 | 7 | 16 | 0.0156 | 231 | 774 | 0.748805 | |
30,000 | 7 | 16 | 0.0312 | 213 | 774 | 2.028013 | |
26 | 3,000 | 65 | 152 | 0.124801 | 65 | 152 | 0.124801 |
12,000 | 72 | 166 | 0.514803 | 72 | 166 | 0.468003 | |
30,000 | 79 | 180 | 1.51321 | 79 | 180 | 1.341609 | |
27 | 3,000 | 31 | 94 | 0.0624 | 104 | 327 | 0.156001 |
12,000 | 43 | 137 | 0.187201 | 202 | 655 | 0.639604 | |
30,000 | 104 | 329 | 1.154407 | 384 | 1,231 | 4.024826 | |
28 | 3,000 | 40 | 124 | 0.0468 | 31 | 76 | 0.0312 |
12,000 | 31 | 91 | 0.124801 | 38 | 95 | 0.124801 | |
30,000 | 40 | 107 | 0.546003 | 32 | 78 | 0.265202 | |
29 | 3,000 | 4 | 19 | 0.0312 | 100 | 287 | 0.124801 |
12,000 | 4 | 19 | 0.0156 | 84 | 240 | 0.312002 | |
30,000 | 4 | 19 | 0.093601 | 93 | 264 | 0.842405 | |
30 | 3,000 | 1,000 | 2,002 | 0.842405 | 446 | 1,205 | 0.436803 |
12,000 | 1,000 | 2,002 | 2.636417 | 754 | 2,010 | 2.074813 | |
30,000 | 1,000 | 2,002 | 8.330453 | 1,000 | 2,721 | 8.065252 | |
31 | 3,000 | 29 | 66 | 0.0468 | 29 | 66 | 0.0624 |
12,000 | 34 | 78 | 0.156001 | 34 | 78 | 0.156001 | |
30,000 | 34 | 78 | 0.421203 | 34 | 78 | 0.452403 | |
32 | 3,000 | 48 | 100 | 0.093601 | 48 | 100 | 0.093601 |
12,000 | 37 | 80 | 0.280802 | 37 | 80 | 0.234001 | |
30,000 | 36 | 80 | 0.780005 | 36 | 80 | 0.670804 | |
33 | 3,000 | 3 | 7 | 0 | 3 | 7 | 0 |
12,000 | 2 | 5 | 0 | 2 | 5 | 0.0312 | |
30,000 | 2 | 5 | 0.0312 | 2 | 5 | 0 | |
34 | 3,000 | 4 | 8 | 0.0312 | 4 | 8 | 0.0312 |
12,000 | 7 | 14 | 0.0624 | 7 | 14 | 0.0312 | |
30,000 | 10 | 20 | 0.156001 | 10 | 20 | 0.124801 | |
35 | 3,000 | 12 | 24 | 0.0312 | 12 | 24 | 0 |
12,000 | 21 | 42 | 0.093601 | 21 | 42 | 0.093601 | |
30,000 | 4 | 10 | 0.093601 | 4 | 10 | 0.0312 | |
36 | 3,000 | 14 | 48 | 1.138807 | 45 | 148 | 3.244821 |
12,000 | 8 | 28 | 6.910844 | 120 | 369 | 95.831414 | |
30,000 | 17 | 55 | 55.427155 | 162 | 483 | 488.922734 | |
37 | 3,000 | 776 | 1,559 | 0.733205 | 1,000 | 2,688 | 1.107607 |
12,000 | 1,000 | 2,006 | 3.322821 | 1,000 | 2,733 | 3.556823 | |
30,000 | 1,000 | 2,011 | 9.828063 | 506 | 1,378 | 4.960832 | |
38 | 3,000 | 9 | 30 | 0.0312 | 27 | 81 | 0.0312 |
12,000 | 10 | 32 | 0.0468 | 21 | 60 | 0.140401 | |
30,000 | 11 | 34 | 0.140401 | 24 | 69 | 0.312002 | |
39 | 3,000 | 26 | 52 | 0.0624 | 26 | 52 | 0 |
12,000 | 29 | 58 | 0.093601 | 29 | 58 | 0.093601 | |
30,000 | 23 | 46 | 0.187201 | 23 | 46 | 0.171601 | |
40 | 3,000 | 554 | 1,332 | 5.881238 | 1,000 | 2,856 | 11.013671 |
12,000 | 1,000 | 2,228 | 39.733455 | 1,000 | 2,892 | 43.352678 | |
30,000 | 1,000 | 2,247 | 100.745446 | 1,000 | 2,866 | 108.186694 | |
41 | 3,000 | 27 | 68 | 0.078 | 49 | 133 | 0.0312 |
12,000 | 28 | 69 | 0.093601 | 50 | 136 | 0.124801 | |
30,000 | 37 | 91 | 0.390002 | 39 | 101 | 0.374402 | |
42 | 3,000 | 6 | 24 | 0.0312 | 6 | 24 | 0 |
12,000 | 6 | 24 | 0.0624 | 6 | 24 | 0.0624 | |
30,000 | 6 | 24 | 0.187201 | 6 | 24 | 0.156001 | |
43 | 3,000 | 28 | 60 | 0.202801 | 28 | 60 | 0.218401 |
12,000 | 30 | 64 | 0.936006 | 30 | 64 | 0.858005 | |
30,000 | 32 | 68 | 2.527216 | 31 | 66 | 2.230814 | |
44 | 3,000 | 46 | 96 | 0.358802 | 46 | 96 | 0.296402 |
12,000 | 49 | 102 | 1.51321 | 49 | 102 | 1.404009 | |
30,000 | 52 | 108 | 4.024826 | 52 | 108 | 3.728424 | |
45 | 3,000 | 19 | 44 | 0.202801 | 19 | 44 | 0.124801 |
12,000 | 20 | 46 | 0.608404 | 20 | 46 | 0.577204 | |
30,000 | 20 | 46 | 1.54441 | 20 | 46 | 1.48201 | |
46 | 3,000 | 117 | 244 | 0.920406 | 108 | 296 | 0.967206 |
12,000 | 165 | 340 | 5.116833 | 120 | 326 | 4.009226 | |
30,000 | 195 | 400 | 15.678101 | 126 | 341 | 10.576868 | |
47 | 3,000 | 27 | 66 | 8.299253 | 44 | 102 | 12.963683 |
12,000 | 31 | 87 | 93.741001 | 49 | 141 | 150.150963 | |
30,000 | 69 | 182 | 1,163.84546 | 85 | 256 | 1,490.683156 | |
48 | 3,000 | 32 | 74 | 1.762811 | 27 | 63 | 1.310408 |
12,000 | 50 | 103 | 30.154993 | 29 | 74 | 19.546925 | |
30,000 | 42 | 100 | 112.726323 | 37 | 87 | 94.209004 | |
49 | 3,000 | 1,000 | 2,002 | 0.858005 | 575 | 1,593 | 0.577204 |
12,000 | 1,000 | 2,002 | 2.792418 | 885 | 2,377 | 2.527216 | |
30,000 | 1,000 | 2,002 | 9.484861 | 1,000 | 2,738 | 8.143252 | |
50 | 3,000 | 1,000 | 2,002 | 57.236767 | 370 | 998 | 23.727752 |
12,000 | 1,000 | 2,002 | 617.73276 | 920 | 2,495 | 676.233135 | |
30,000 | 1,000 | 2,002 | 2,467.96702 | 1,000 | 2,720 | 2,856.471911 | |
51 | 3,000 | 23 | 48 | 0.124801 | 23 | 48 | 0.140401 |
12,000 | 23 | 48 | 0.811205 | 23 | 48 | 0.452403 | |
30,000 | 23 | 48 | 1.154407 | 23 | 48 | 1.216808 | |
52 | 3,000 | 121 | 276 | 0.436803 | 121 | 276 | 0.374402 |
12,000 | 138 | 316 | 2.090413 | 138 | 316 | 1.684811 | |
30,000 | 150 | 344 | 4.66443 | 150 | 344 | 4.61763 | |
53 | 3,000 | 1,000 | 2,009 | 0.998406 | 1,000 | 2,706 | 1.170008 |
12,000 | 1,000 | 2,009 | 3.759624 | 1,000 | 2,661 | 3.369622 | |
30,000 | 1,000 | 2,009 | 8.502054 | 1,000 | 2,781 | 9.594061 | |
54 | 3,000 | 32 | 87 | 0.0624 | 203 | 577 | 0.343202 |
12,000 | 13 | 41 | 0.109201 | 201 | 607 | 1.029607 | |
30,000 | 42 | 99 | 0.483603 | 362 | 1,112 | 4.836031 | |
55 | 3,000 | 21 | 44 | 0.546004 | 21 | 44 | 0.530403 |
12,000 | 23 | 48 | 7.488048 | 23 | 48 | 7.441248 | |
30,000 | 24 | 50 | 30.654197 | 24 | 50 | 29.983392 | |
56 | 3,000 | 430 | 886 | 0.358802 | 507 | 1,397 | 0.608404 |
12,000 | 430 | 886 | 1.450809 | 613 | 1,667 | 2.043613 | |
30,000 | 430 | 886 | 3.541223 | 491 | 1,337 | 4.492829 | |
57 | 3,000 | 145 | 296 | 1.154407 | 55 | 132 | 0.468003 |
12,000 | 207 | 420 | 7.75325 | 69 | 179 | 2.246414 | |
30,000 | 265 | 536 | 19.500125 | 77 | 196 | 6.27124 | |
58 | 3,000 | 107 | 223 | 0.873606 | 81 | 202 | 0.670804 |
12,000 | 124 | 257 | 3.931225 | 91 | 243 | 3.07322 | |
30,000 | 142 | 293 | 10.514467 | 98 | 261 | 8.205653 | |
59 | 3,000 | 77 | 166 | 0.639604 | 52 | 137 | 0.405603 |
12,000 | 107 | 226 | 4.508429 | 60 | 152 | 1.934412 | |
30,000 | 94 | 203 | 7.082445 | 72 | 181 | 5.803237 | |
60 | 3,000 | 488 | 983 | 3.978026 | 111 | 303 | 0.967206 |
12,000 | 175 | 360 | 5.522435 | 106 | 293 | 3.650423 | |
30,000 | 194 | 398 | 14.476893 | 140 | 377 | 11.856076 | |
61 | 3,000 | 145 | 296 | 1.185608 | 56 | 142 | 0.468003 |
12,000 | 206 | 418 | 6.692443 | 70 | 179 | 2.277615 | |
30,000 | 264 | 534 | 19.390924 | 92 | 247 | 7.75325 | |
62 | 3,000 | 153 | 314 | 1.232408 | 63 | 163 | 0.717605 |
12,000 | 239 | 486 | 7.332047 | 86 | 214 | 2.761218 | |
30,000 | 313 | 634 | 23.166148 | 96 | 261 | 8.127652 | |
63 | 3,000 | 209 | 430 | 1.934412 | 138 | 378 | 1.388409 |
12,000 | 1,000 | 2,009 | 37.799042 | 164 | 448 | 6.489642 | |
30,000 | 1,000 | 2,009 | 87.220159 | 191 | 521 | 18.532919 | |
64 | 3,000 | 29 | 64 | 0.265202 | 29 | 64 | 0.218401 |
12,000 | 31 | 68 | 1.045207 | 31 | 68 | 0.936006 | |
30,000 | 32 | 70 | 2.340015 | 32 | 70 | 2.324415 | |
65 | 3,000 | 22 | 51 | 1.903212 | 19 | 45 | 1.59121 |
12,000 | 17 | 38 | 14.586094 | 17 | 38 | 14.258491 | |
30,000 | 17 | 38 | 61.167992 | 17 | 38 | 59.420781 | |
66 | 3,000 | 1,000 | 2,003 | 57.985572 | 733 | 2,293 | 50.684725 |
12,000 | 1,000 | 2,003 | 618.637566 | 214 | 671 | 171.757101 | |
30,000 | 4 | 11 | 10.374067 | 58 | 157 | 163.879051 | |
67 | 3,000 | 6 | 37 | 0.0312 | 9 | 59 | 0.0312 |
12,000 | 10 | 63 | 0.499203 | 48 | 231 | 0.577204 | |
30,000 | 5 | 27 | 0.124801 | 10 | 54 | 0.296402 | |
68 | 3,000 | 35 | 72 | 0.0312 | 35 | 72 | 0.0312 |
12,000 | 38 | 78 | 0.124801 | 38 | 78 | 0.109201 | |
30,000 | 39 | 80 | 0.343202 | 39 | 80 | 0.374402 | |
69 | 3,000 | 27 | 58 | 0.0312 | 30 | 64 | 0.0624 |
12,000 | 28 | 60 | 0.140401 | 32 | 68 | 0.187201 | |
30,000 | 29 | 62 | 0.421203 | 33 | 70 | 0.468003 | |
70 | 3,000 | 25 | 82 | 1.950013 | 129 | 386 | 8.876457 |
12,000 | 52 | 184 | 46.8471 | 143 | 479 | 119.621567 | |
30,000 | 13 | 62 | 52.790738 | 193 | 598 | 597.967433 | |
71 | 3,000 | 1,000 | 2,004 | 0.889206 | 449 | 1,247 | 0.468003 |
12,000 | 1,000 | 2,004 | 4.196427 | 661 | 1,779 | 2.106014 | |
30,000 | 1,000 | 2,004 | 7.238446 | 606 | 1,645 | 5.506835 | |
72 | 3,000 | 706 | 2,011 | 228.837867 | 1,000 | 2,845 | 323.405673 |
12,000 | 569 | 1,589 | 1,742.46877 | 785 | 2,234 | 2,412.040662 | |
30,000 | 229 | 654 | 3,931.381201 | 1,000 | 2,813 | 17,084.27791 | |
73 | 3,000 | 1,000 | 2,002 | 0.936006 | 490 | 1,307 | 0.421203 |
12,000 | 1,000 | 2,002 | 3.291621 | 900 | 2,460 | 2.605217 | |
30,000 | 1,000 | 2,002 | 7.566048 | 1,000 | 2,735 | 7.940451 | |
74 | 3,000 | 1,000 | 2,002 | 0.873606 | 398 | 1,061 | 0.374402 |
12,000 | 1,000 | 2,002 | 4.399228 | 795 | 2,120 | 2.262015 | |
30,000 | 1,000 | 2,002 | 7.519248 | 1,000 | 2,682 | 7.86245 |