Table 7 Comparison of results of ARACO and RACO when the initial domain does not contain the optimal solution
From: An accelerated and robust algorithm for ant colony optimization in continuous functions
x1 = (100, 200) x2 = (50, 80) | x1 = (−300, 180) x2 = (−600, −50) | x1 = (1800, 1900) x2 = (−230, 110) | x1 = (1, 2) x2 = (−3, −1) | x1 = (100, 110) x2 = (−300, −190) | Functions | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
ARACO | RACO | ARACO | RACO | ARACO | RACO | ARACO | RACO | ARACO | RACO | ||
ANFE | 380 | 383 | 161 | 370 | 2057 | 1559 | 35 | 111 | 415 | 292 | Goldstein and Price |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 54 | 155 | 53 | 171 | 72 | 187 | 38 | 108 | 57 | 163 | Zakharov |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 59 | 155 | 64 | 169 | 72 | 184 | 44 | 125 | 60 | 164 | Martin and Gaddy |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 239 | 188 | 368 | 220 | 214 | 217 | 37 | 108 | 300 | 249 | Griewangk |
Success Rate | 100% | 70% | 100% | 80% | 100% | 40% | 100% | 100% | 100% | 25% | |
ANFE | 94 | 156 | 79 | 189 | 79 | 190 | 63 | 111 | 82 | 159 | Rastrigin |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 123 | 151 | 133 | 282 | 124 | 284 | 54 | - | 96 | 266 | Shubert |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 0% | 100% | 100% | |
ANFE | 121 | 171 | 119 | - | 392 | - | 59 | 108 | 166 | - | Ackley |
Success Rate | 100% | 100% | 100% | 0% | 85% | 0% | 100% | 100% | 100% | 0% | |
ANFE | 48 | 157 | 52 | 170 | 61 | 182 | 37 | 108 | 52 | 156 | B2 |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 52 | 157 | 52 | 170 | 385 | 261 | 37 | - | 196 | - | Levy |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 0% | 100% | 0% | |
ANFE | 68 | 178 | 67 | 178 | 104 | 190 | 46 | 118 | 77 | 167 | Beale |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 352 | 253 | 257 | 242 | 794 | 802 | 124 | 163 | 709 | 423 | Rosenbrock |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 39 | 153 | 35 | 169 | 58 | 182 | 25 | 119 | 34 | 168 | Bohachevesky |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | |
ANFE | 183 | 205 | 225 | 261 | 197 | 260 | 57 | 113 | 158 | 188 | Hansen |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 95% | |
ANFE | 30 | 166 | 37 | 174 | 43 | 177 | 45 | - | 36 | 176 | Six-Hump Camel-Back |
Success Rate | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 0% | 100% | 100% | |