<div dir="ltr">Dear Giacomo,<div>Thank you for your comments. I have specified more Path as follows and it runs, but the result looks like incorrect because Gap=100 and there are no solutions x1 and x2. Please let me know your thoughts.</div><div> Iter Cycle Action Objective value Time Gap<br> ---- ----- ------ --------------- ---- ---<br> 0 0 Initialization -0.782797 0.01 100.00 *<br> 0 0 Initialization 69.095477 0.01 100.00 <br> 0 0 Initialization 20.000000 0.01 100.00 <br> 0 0 GlobalStep -9.829600 0.03 100.00 *<br> 1 0 GlobalStep -9.946732 0.05 100.00 *<br> 2 0 GlobalStep -0.133622 0.06 100.00 <br> 3 0 GlobalStep -8.304083 0.08 100.00 <br> 4 0 GlobalStep -9.999968 0.10 100.00 *<br> 5 0 AdjLocalStep -9.470315 0.16 100.00 <br> 6 1 GlobalStep -9.859619 0.18 100.00 <br> 7 1 GlobalStep -0.302782 0.20 100.00 <br> 8 1 GlobalStep -5.820524 0.22 100.00 <br> 9 1 GlobalStep -9.979040 0.23 100.00 <br> 10 1 GlobalStep -9.989542 0.25 100.00 <br> 11 1 AdjLocalStep -9.997112 0.28 100.00 <br> 12 2 GlobalStep -5.381130 0.31 100.00 <br> 13 2 GlobalStep -5.403951 0.33 100.00 <br> 14 2 GlobalStep -9.747733 0.35 100.00 <br> 15 2 GlobalStep -9.976688 0.36 100.00 <br> 16 2 GlobalStep -9.999575 0.38 100.00 <br> 17 2 AdjLocalStep -9.996449 0.41 100.00 <br> 18 2 RefinementStep -9.998610 0.41 100.00 <br> 19 2 RefinementStep -9.998642 0.41 100.00 <br> 20 3 Discarded 0.41<br> 21 3 GlobalStep -0.983375 0.46 100.00 <br> 22 3 GlobalStep -4.919108 0.48 100.00 <br> 23 3 GlobalStep -8.971488 0.50 100.00 <br> 24 3 GlobalStep -9.999017 0.52 100.00 <br> 25 3 GlobalStep -9.998435 0.53 100.00 <br> 26 3 AdjLocalStep -9.999657 0.57 100.00 <br> 27 4 GlobalStep -1.300168 0.62 100.00 <br> 28 4 GlobalStep -6.542502 0.64 100.00 <br> 29 4 GlobalStep -6.721890 0.66 100.00 <br> 30 4 GlobalStep -9.999000 0.68 100.00 <br> 31 4 GlobalStep -9.999754 0.70 100.00 <br> 32 4 AdjLocalStep -9.997845 0.74 100.00 <br> 33 5 GlobalStep 4.811411 0.80 100.00 <br> 34 5 GlobalStep -3.788304 0.82 100.00 <br> 35 5 GlobalStep -8.440984 0.84 100.00 <br> 36 5 GlobalStep -9.999929 0.86 100.00 <br> 37 5 GlobalStep -9.999214 0.88 100.00 <br> 38 5 AdjLocalStep -9.993257 0.91 100.00 <br> 39 6 Discarded 0.91<br> 40 6 GlobalStep -2.861610 0.99 100.00 <br> 41 6 GlobalStep -7.320371 1.01 100.00 <br> 42 6 GlobalStep -7.355018 1.03 100.00 <br> 43 6 GlobalStep -9.996332 1.05 100.00 <br> 44 6 GlobalStep -9.997607 1.07 100.00 <br> 45 6 AdjLocalStep -9.997380 1.11 100.00 <br> 46 7 GlobalStep -2.944679 1.20 100.00 <br> 47 7 GlobalStep -8.033679 1.22 100.00 <br> 48 7 GlobalStep -9.055971 1.24 100.00 <br> 49 7 GlobalStep -9.999349 1.26 100.00 <br> 50 7 GlobalStep -9.999964 1.28 100.00 <br> 51 7 AdjLocalStep -9.999116 1.33 100.00 <br> 52 8 GlobalStep -1.229660 1.44 100.00 <br> 53 8 GlobalStep 1.597072 1.46 100.00 <br> 54 8 GlobalStep -9.829986 1.48 100.00 <br> 55 8 GlobalStep -9.999921 1.50 100.00 <br> 56 8 GlobalStep -9.999275 1.53 100.00 <br> 57 8 AdjLocalStep -9.998799 1.57 100.00 <br> 58 9 Discarded 1.57<br> 59 9 GlobalStep 14.609887 1.70 100.00 <br> 60 9 GlobalStep -3.468827 1.72 100.00 <br> 61 9 GlobalStep -9.970708 1.75 100.00 <br> 62 9 GlobalStep -9.994166 1.77 100.00 <br> 63 9 GlobalStep -9.999956 1.79 100.00 <br> 64 9 AdjLocalStep -9.997837 1.84 100.00 <br> 65 10 GlobalStep -4.102803 1.98 100.00 <br> 66 10 GlobalStep -6.107631 2.01 100.00 <br> 67 10 GlobalStep -9.848015 2.04 100.00 <br> 68 10 GlobalStep -9.994641 2.06 100.00 <br> 69 10 GlobalStep -9.999667 2.08 100.00 <br> 70 10 AdjLocalStep -9.996786 2.12 100.00 <br> 71 11 GlobalStep -1.177266 2.29 100.00 <br> 72 11 GlobalStep -6.633674 2.32 100.00 <br> 73 11 GlobalStep -9.895041 2.34 100.00 <br> 74 11 GlobalStep -9.990220 2.37 100.00 <br> 75 11 GlobalStep -9.999315 2.39 100.00 <br> 76 11 AdjLocalStep -9.997693 2.43 100.00 <br> 77 12 Discarded 2.43<br> 78 12 GlobalStep -5.171251 2.63 100.00 <br> 79 12 GlobalStep -8.131647 2.65 100.00 <br> 80 12 GlobalStep -7.982044 2.67 100.00 <br> 81 12 GlobalStep -9.999500 2.70 100.00 <br> 82 12 GlobalStep -9.997438 2.72 100.00 <br> 83 12 AdjLocalStep -9.998610 2.76 100.00 <br> 84 13 GlobalStep -0.259775 2.99 100.00 <br> 85 13 GlobalStep -3.246013 3.01 100.00 <br> 86 13 GlobalStep -7.577369 3.04 100.00 <br> 87 13 GlobalStep -9.997907 3.06 100.00 <br> 88 13 GlobalStep -9.999873 3.09 100.00 <br> 89 13 AdjLocalStep -9.995549 3.14 100.00 <br> 90 14 GlobalStep -0.308892 3.39 100.00 <br> 91 14 GlobalStep -8.365626 3.43 100.00 <br> 92 14 GlobalStep -7.925407 3.46 100.00 <br> 93 14 GlobalStep -9.996190 3.49 100.00 <br> 94 14 GlobalStep -9.995883 3.51 100.00 <br> 95 14 AdjLocalStep -9.999649 3.57 100.00 <br> 96 15 Discarded 3.57<br> 97 15 GlobalStep 0.866069 3.86 100.00 <br> 98 15 GlobalStep -5.017943 3.88 100.00 <br> 99 15 GlobalStep -8.646658 3.91 100.00 <br> 100 15 GlobalStep -9.998978 3.94 100.00 <br> 101 15 GlobalStep -9.998460 3.97 100.00 <br> 102 15 AdjLocalStep -9.997587 4.02 100.00 <br> 103 16 Discarded 4.02<br> 104 16 GlobalStep 21.677489 4.34 100.00 <br> 105 16 GlobalStep -7.807238 4.37 100.00 <br> 106 16 GlobalStep -8.019824 4.40 100.00 <br> 107 16 GlobalStep -9.998993 4.43 100.00 <br> 108 16 GlobalStep -9.998398 4.45 100.00 <br> 109 16 AdjLocalStep -9.999986 4.49 100.00 *<br> 110 16 RefinementStep -9.329509 4.49 100.00 <br> 111 16 RefinementStep -9.329523 4.49 100.00 <br> 112 17 Discarded 4.49<br> 113 17 Restart 4.49<br> 113 18 Initialization 8.783424 4.50 100.00 <br> 113 18 Initialization 16.720115 4.50 100.00 <br> 113 18 Initialization 20.000000 4.50 100.00 <br> 113 18 GlobalStep 99.437119 4.51 100.00 <br> 114 18 GlobalStep -9.979459 4.53 100.00 <br> 115 18 GlobalStep -9.991883 4.55 100.00 <br> 116 18 GlobalStep -9.967561 4.57 100.00 <br> 117 18 GlobalStep -9.998844 4.58 100.00 <br> 118 18 AdjLocalStep -9.999992 4.62 100.00 *<br> 119 19 GlobalStep -0.088290 4.64 100.00 <br> 120 19 GlobalStep -5.029370 4.65 100.00 <br> 121 19 GlobalStep -9.968159 4.67 100.00 <br> 122 19 GlobalStep -9.996467 4.69 100.00 <br> 123 19 GlobalStep -9.999552 4.71 100.00 <br> 124 19 AdjLocalStep -9.992407 4.74 100.00 <br> 125 20 GlobalStep -9.939811 4.77 100.00 <br> 126 20 GlobalStep -5.045766 4.79 100.00 <br> 127 20 GlobalStep -0.974566 4.81 100.00 <br> 128 20 GlobalStep -9.998966 4.83 100.00 <br> 129 20 GlobalStep -9.999806 4.85 100.00 <br> 130 20 AdjLocalStep -9.990275 4.88 100.00 <br> 131 20 RefinementStep -2.667284 4.88 100.00 <br> 132 21 Discarded 4.88<br> 133 21 GlobalStep 0.306504 4.92 100.00 <br> 134 21 GlobalStep -2.309693 4.94 100.00 <br> 135 21 GlobalStep -4.116201 4.96 100.00 <br> 136 21 GlobalStep -8.352455 4.98 100.00 <br> 137 21 GlobalStep -9.984745 5.00 100.00 <br> 138 21 AdjLocalStep -9.999261 5.03 100.00 <br> 139 22 GlobalStep -6.263660 5.08 100.00 <br> 140 22 GlobalStep -7.134940 5.10 100.00 <br> 141 22 GlobalStep -9.707888 5.12 100.00 <br> 142 22 GlobalStep -8.354821 5.14 100.00 <br> 143 22 GlobalStep -9.990861 5.16 100.00 <br> 144 22 AdjLocalStep -9.999445 5.20 100.00 <br> 145 23 GlobalStep -1.088456 5.26 100.00 <br> 146 23 GlobalStep -7.013278 5.28 100.00 <br> 147 23 GlobalStep -8.368093 5.30 100.00 <br> 148 23 GlobalStep -8.757719 5.32 100.00 <br> 149 23 GlobalStep -9.989832 5.34 100.00 <br> 150 23 AdjLocalStep -9.996497 5.38 100.00 <br> 151 24 Discarded 5.38<br> 152 24 GlobalStep 2.107940 5.45 100.00 <br> 153 24 GlobalStep -3.436103 5.47 100.00 <br> 154 24 GlobalStep -6.037814 5.49 100.00 <br> 155 24 GlobalStep -9.056932 5.52 100.00 <br> 156 24 GlobalStep -9.997458 5.54 100.00 <br> 157 24 AdjLocalStep -9.996017 5.58 100.00 <br> 158 25 GlobalStep -0.142017 5.66 100.00 <br> 159 25 GlobalStep -3.536719 5.68 100.00 <br> 160 25 GlobalStep -7.619205 5.70 100.00 <br> 161 25 GlobalStep -9.152211 5.73 100.00 <br> 162 25 GlobalStep -9.997099 5.75 100.00 <br> 163 25 AdjLocalStep -9.998803 5.79 100.00 <br> 164 26 GlobalStep -6.928876 5.89 100.00 <br> 165 26 GlobalStep -6.330172 5.91 100.00 <br> 166 26 GlobalStep -9.790826 5.94 100.00 <br> 167 26 GlobalStep -9.125377 5.96 100.00 <br> 168 26 GlobalStep -9.997595 5.98 100.00 <br> 169 26 AdjLocalStep -9.998836 6.02 100.00 <br> 170 27 Discarded 6.02<br> 171 27 GlobalStep -3.465366 6.14 100.00 <br> 172 27 GlobalStep -4.890849 6.17 100.00 <br> 173 27 GlobalStep -9.227066 6.19 100.00 <br> 174 27 GlobalStep -9.350088 6.21 100.00 <br> 175 27 GlobalStep -9.997056 6.24 100.00 <br> 176 27 AdjLocalStep -9.998672 6.28 100.00 <br> 177 28 GlobalStep -0.107919 6.43 100.00 <br> 178 28 GlobalStep -9.614442 6.45 100.00 <br> 179 28 GlobalStep -7.720567 6.48 100.00 <br> 180 28 GlobalStep -9.361315 6.50 100.00 <br> 181 28 GlobalStep -9.996503 6.52 100.00 <br> 182 28 AdjLocalStep -9.999594 6.57 100.00 <br> 183 29 GlobalStep -3.796607 6.74 100.00 <br> 184 29 GlobalStep -2.367116 6.76 100.00 <br> 185 29 GlobalStep -5.150750 6.79 100.00 <br> 186 29 GlobalStep -9.415172 6.81 100.00 <br> 187 29 GlobalStep -9.996580 6.83 100.00 <br> 188 29 AdjLocalStep -9.997717 6.87 100.00 <br> 189 30 Discarded 6.87<br> 190 30 GlobalStep 2.992339 7.07 100.00 <br> 191 30 GlobalStep -7.956459 7.09 100.00 <br> 192 30 GlobalStep -7.662510 7.12 100.00 <br> 193 30 GlobalStep -9.436481 7.14 100.00 <br> 194 30 GlobalStep -9.993961 7.17 100.00 <br> 195 30 AdjLocalStep -9.996651 7.21 100.00 <br> 196 31 GlobalStep 27.107300 7.43 100.00 <br> 197 31 GlobalStep -2.740703 7.46 100.00 <br> 198 31 GlobalStep -6.743054 7.48 100.00 <br> 199 31 GlobalStep -9.545115 7.50 100.00 <br> 200 31 GlobalStep -9.991679 7.53 100.00 <br> 201 31 AdjLocalStep -9.999586 7.58 100.00 <br>Exception ignored in: <_io.FileIO name=3 mode='rb+' closefd=True><br>ResourceWarning: unclosed file <_io.FileIO name=3 mode='rb+' closefd=True><br> 202 32 GlobalStep 28.311026 7.82 100.00 <br> 203 32 GlobalStep -6.823784 7.85 100.00 <br> 204 32 GlobalStep -8.490190 7.88 100.00 <br> 205 32 GlobalStep -9.568747 7.90 100.00 <br> 206 32 GlobalStep -9.994977 7.94 100.00 <br> 207 32 AdjLocalStep -9.997207 7.99 100.00 <br> 208 33 Discarded 7.99<br> 209 33 GlobalStep 7.712229 8.26 100.00 <br> 210 33 GlobalStep -2.040756 8.29 100.00 <br> 211 33 GlobalStep -8.910636 8.31 100.00 <br> 212 33 GlobalStep -9.574243 8.34 100.00 <br> 213 33 GlobalStep -9.998942 8.36 100.00 <br> 214 33 AdjLocalStep -9.995341 8.41 100.00 <br> 215 34 Discarded 8.41<br> 216 34 GlobalStep 9.054157 8.71 100.00 <br> 217 34 GlobalStep -3.606081 8.74 100.00 <br> 218 34 GlobalStep -8.535352 8.76 100.00 <br> 219 34 GlobalStep -9.626389 8.79 100.00 <br> 220 34 GlobalStep -9.994735 8.81 100.00 <br> 221 34 AdjLocalStep -9.999854 8.87 100.00 <br> 222 35 Discarded 8.87<br> 223 35 Restart 8.87<br> 223 36 Initialization -8.412199 8.88 100.00 <br> 223 36 Initialization 14.167440 8.88 100.00 <br> 223 36 Initialization 20.000000 8.88 100.00 <br> 223 36 GlobalStep -9.998146 8.89 100.00 <br> 224 36 GlobalStep -9.995897 8.91 100.00 <br> 225 36 GlobalStep -9.924097 8.93 100.00 <br> 226 36 GlobalStep -9.974545 8.94 100.00 <br> 227 36 GlobalStep -8.360688 8.96 100.00 <br> 228 36 AdjLocalStep -9.998387 8.99 100.00 <br> 229 37 GlobalStep -0.059815 9.02 100.00 <br> 230 37 GlobalStep -0.045566 9.03 100.00 <br> 231 37 GlobalStep -9.921982 9.05 100.00 <br> 232 37 GlobalStep -9.988803 9.07 100.00 <br> 233 37 GlobalStep -9.996431 9.09 100.00 <br> 234 37 AdjLocalStep -9.999170 9.12 100.00 <br> 235 38 GlobalStep -4.327294 9.15 100.00 <br> 236 38 GlobalStep -4.581352 9.17 100.00 <br> 237 38 GlobalStep -6.757061 9.18 100.00 <br> 238 38 GlobalStep -9.991722 9.20 100.00 <br> 239 38 GlobalStep -9.994365 9.22 100.00 <br> 240 38 AdjLocalStep -9.999325 9.25 100.00 <br> 241 38 RefinementStep -7.303472 9.25 100.00 <br> 242 38 RefinementStep -7.304148 9.26 100.00 <br> 243 39 Discarded 9.26<br> 244 39 GlobalStep -9.432590 9.29 100.00 <br> 245 39 GlobalStep -6.698595 9.31 100.00 <br> 246 39 GlobalStep -1.372501 9.33 100.00 <br> 247 39 GlobalStep -9.981998 9.35 100.00 <br> 248 39 GlobalStep -9.992001 9.37 100.00 <br> 249 39 AdjLocalStep -9.991496 9.41 100.00 <br> 250 40 GlobalStep -4.736954 9.46 100.00 <br> 251 40 GlobalStep -9.905023 9.47 100.00 <br> 252 40 GlobalStep -9.612855 9.49 100.00 <br> 253 40 GlobalStep -9.998329 9.52 100.00 <br> 254 40 GlobalStep -9.995420 9.53 100.00 <br> 255 40 AdjLocalStep -9.998503 9.57 100.00 <br> 256 41 GlobalStep -0.211957 9.63 100.00 <br> 257 41 GlobalStep -4.094734 9.65 100.00 <br> 258 41 GlobalStep -3.472883 9.68 100.00 <br> 259 41 GlobalStep -9.996027 9.70 100.00 <br> 260 41 GlobalStep -9.998652 9.72 100.00 <br> 261 41 AdjLocalStep -9.999681 9.75 100.00 <br> 262 41 RefinementStep -6.308952 9.75 100.00 <br> 263 41 RefinementStep -6.309271 9.76 100.00 <br> 264 42 Discarded 9.76<br> 265 42 GlobalStep -4.248808 9.84 100.00 <br> 266 42 GlobalStep -2.394217 9.86 100.00 <br> 267 42 GlobalStep -6.982851 9.88 100.00 <br> 268 42 GlobalStep -9.996277 9.90 100.00 <br> 269 42 GlobalStep -9.993987 9.92 100.00 <br> 270 42 AdjLocalStep -9.998898 9.96 100.00 <br> 271 43 GlobalStep -5.570539 10.05 100.00 <br> 272 43 GlobalStep -7.641360 10.08 100.00 <br> 273 43 GlobalStep -9.959525 10.10 100.00 <br> 274 43 GlobalStep -9.991615 10.12 100.00 <br> 275 43 GlobalStep -9.998084 10.14 100.00 <br> 276 43 AdjLocalStep -9.997681 10.18 100.00 <br> 277 44 GlobalStep -5.803065 10.29 100.00 <br> 278 44 GlobalStep -7.090334 10.32 100.00 <br> 279 44 GlobalStep -7.667018 10.34 100.00 <br> 280 44 GlobalStep -9.991742 10.36 100.00 <br> 281 44 GlobalStep -9.999368 10.38 100.00 <br> 282 44 AdjLocalStep -9.996251 10.43 100.00 <br> 283 45 Discarded 10.43<br> 284 45 GlobalStep 3.850628 10.56 100.00 <br> 285 45 GlobalStep -2.721334 10.58 100.00 <br> 286 45 GlobalStep -8.301068 10.61 100.00 <br> 287 45 GlobalStep -8.591339 10.63 100.00 <br> 288 45 GlobalStep -9.996616 10.65 100.00 <br> 289 45 AdjLocalStep -9.999346 10.70 100.00 <br> 290 46 Discarded 10.70<br> 291 46 GlobalStep 10.209351 10.86 100.00 <br> 292 46 GlobalStep -7.894794 10.89 100.00 <br> 293 46 GlobalStep -8.234840 10.91 100.00 <br> 294 46 GlobalStep -8.838450 10.94 100.00 <br> 295 46 GlobalStep -9.999002 10.96 100.00 <br> 296 46 AdjLocalStep -9.998982 11.01 100.00 <br> 297 47 Discarded 11.01<br> 298 47 GlobalStep -1.463510 11.19 100.00 <br> 299 47 GlobalStep -4.827453 11.21 100.00 <br> 300 47 GlobalStep -6.813960 11.23 100.00 <br> 301 47 GlobalStep -9.092894 11.26 100.00 <br> 302 47 GlobalStep -9.995715 11.28 100.00 <br> 303 47 AdjLocalStep -9.997012 11.33 100.00 <br> 304 48 Discarded 11.33<br> 305 48 GlobalStep -1.832841 11.53 100.00 <br> 306 48 GlobalStep -3.611980 11.55 100.00 <br> 307 48 GlobalStep -9.815830 11.58 100.00 <br> 308 48 GlobalStep -9.129074 11.61 100.00 <br> 309 48 GlobalStep -9.994837 11.63 100.00 <br> 310 48 AdjLocalStep -9.999636 11.68 100.00 <br> 311 49 Discarded 11.68<br> 312 49 GlobalStep -8.396622 11.92 100.00 <br> 313 49 GlobalStep -8.182026 11.94 100.00 <br>Summary: iters 314 evals 300 noisy_evals 0 cycles 49 opt_time 11.94 tot_time 11.94 obj -9.999992 gap 100.00<br><br>Process finished with exit code 0<br></div><div><br></div><div>The code: </div><div><br></div><div><pre style="background-color:rgb(43,43,43);color:rgb(169,183,198);font-family:"JetBrains Mono",monospace;font-size:9.8pt"><span style="color:rgb(204,120,50)">import </span>rbfopt<br><span style="color:rgb(128,128,128)">#settings = rbfopt.RbfoptSettings(minlp_solver_path='Cygwin64/home/chuong/bonmin-stable/build/bonmin',\<br></span><span style="color:rgb(128,128,128)"># nlp_solver_path='Cygwin64/home/chuong/bonmin-stable/build/ipopt')<br></span><span style="color:rgb(128,128,128)"><br></span><span style="color:rgb(204,120,50)">import </span>numpy <span style="color:rgb(204,120,50)">as </span>np<br><span style="color:rgb(204,120,50)">def </span><span style="color:rgb(255,198,109)">obj_funct</span>(x):<br> <span style="color:rgb(204,120,50)">return </span>x[<span style="color:rgb(104,151,187)">0</span>]*x[<span style="color:rgb(104,151,187)">1</span>] - x[<span style="color:rgb(104,151,187)">2</span>]<br><br>bb = rbfopt.RbfoptUserBlackBox(<span style="color:rgb(104,151,187)">3</span><span style="color:rgb(204,120,50)">, </span>np.array([<span style="color:rgb(104,151,187)">0</span>] * <span style="color:rgb(104,151,187)">3</span>)<span style="color:rgb(204,120,50)">, </span>np.array([<span style="color:rgb(104,151,187)">10</span>] * <span style="color:rgb(104,151,187)">3</span>)<span style="color:rgb(204,120,50)">,<br></span><span style="color:rgb(204,120,50)"> </span>np.array([<span style="color:rgb(106,135,89)">'R'</span><span style="color:rgb(204,120,50)">, </span><span style="color:rgb(106,135,89)">'I'</span><span style="color:rgb(204,120,50)">, </span><span style="color:rgb(106,135,89)">'R'</span>])<span style="color:rgb(204,120,50)">, </span>obj_funct)<br><span style="color:rgb(128,128,128)">#settings = rbfopt.RbfoptSettings(minlp_solver_path='/home/chuong/bonmin-stable/build/bonmin',\<br></span><span style="color:rgb(128,128,128)"># nlp_solver_path='/home/chuong/bonmin-stable/build/ipopt')<br></span>settings = rbfopt.RbfoptSettings(<span style="color:rgb(170,73,38)">minlp_solver_path</span>=<span style="color:rgb(106,135,89)">"C:/cygwin64/home/chuong/Bonmin-stable/build/Bonmin/bonmin.pc"</span><span style="color:rgb(204,120,50)">,</span>\<br> <span style="color:rgb(170,73,38)">nlp_solver_path</span>=<span style="color:rgb(106,135,89)">"C:/cygwin64/home/chuong/Bonmin-stable/build/Ipopt/ipopt.pc"</span>)<br><span style="color:rgb(128,128,128)">#settings = rbfopt.RbfoptSettings(max_evaluations=50)<br></span>alg = rbfopt.RbfoptAlgorithm(settings<span style="color:rgb(204,120,50)">, </span>bb)<br>val<span style="color:rgb(204,120,50)">, </span>x<span style="color:rgb(204,120,50)">, </span>itercount<span style="color:rgb(204,120,50)">, </span>evalcount<span style="color:rgb(204,120,50)">, </span>fast_evalcount = alg.optimize()</pre></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Thu, Sep 24, 2020 at 11:24 AM Giacomo Nannicini <<a href="mailto:giacomo.n@gmail.com">giacomo.n@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Make sure the file is in the proper location and the path is specified<br>
in a way that Python understands it. Doesn't look correct at first<br>
glance (slash missing).<br>
<br>
G<br>
<br>
On Wed, Sep 23, 2020 at 9:17 PM Chuong Thaidoan<br>
<<a href="mailto:chuongthaidoan@gmail.com" target="_blank">chuongthaidoan@gmail.com</a>> wrote:<br>
><br>
> Dear Giacomo,<br>
> Thank you for your reply.<br>
> I have re-ordered the settings of Path as follows, but the issue is still the same: Do you think Bonmin was not properly installed?<br>
> Iter Cycle Action Objective value Time Gap<br>
> ---- ----- ------ --------------- ---- ---<br>
> 0 0 Initialization -0.782797 0.01 100.00 *<br>
> 0 0 Initialization 69.095477 0.01 100.00<br>
> 0 0 Initialization 20.000000 0.01 100.00<br>
> 0 0 GlobalStep -9.829600 0.03 100.00 *<br>
> 1 0 GlobalStep -9.946732 0.05 100.00 *<br>
> 2 0 GlobalStep -0.133622 0.07 100.00<br>
> 3 0 GlobalStep -8.304083 0.09 100.00<br>
> 4 0 GlobalStep -9.999968 0.11 100.00 *<br>
> Traceback (most recent call last):<br>
> File "C:/Users/chuong/PycharmProjects/LearningPython/RBFOpt_test.py", line 15, in <module><br>
> val, x, itercount, evalcount, fast_evalcount = alg.optimize()<br>
> File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 795, in optimize<br>
> self.optimize_serial(pause_after_iters)<br>
> File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 1056, in optimize_serial<br>
> self.node_is_noisy)<br>
> File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 2438, in local_step<br>
> categorical_info, node_pos, rbf_lambda, rbf_h, node_pos[fmin_index])<br>
> File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_aux_problems.py", line 297, in minimize_rbf<br>
> if (not opt.available()):<br>
> File "C:\ProgramData\Anaconda3\lib\site-packages\pyomo\opt\base\solvers.py", line 99, in available<br>
> raise pyutilib.common.ApplicationError("Solver (%s) not available" % str(<a href="http://self.name" rel="noreferrer" target="_blank">self.name</a>))<br>
> pyutilib.common._exceptions.ApplicationError: Solver (bonmin) not available<br>
><br>
> Process finished with exit code 1<br>
><br>
> import numpy as np<br>
> def obj_funct(x):<br>
> return x[0]*x[1] - x[2]<br>
><br>
> bb = rbfopt.RbfoptUserBlackBox(3, np.array([0] * 3), np.array([10] * 3),<br>
> np.array(['R', 'I', 'R']), obj_funct)<br>
> settings = rbfopt.RbfoptSettings(minlp_solver_path='c:Cygwin64/home/chuong/bonmin-stable/build/bonmin',\<br>
> nlp_solver_path='c:Cygwin64/home/chuong/bonmin-stable/build/ipopt')<br>
> #settings = rbfopt.RbfoptSettings(max_evaluations=50)<br>
> alg = rbfopt.RbfoptAlgorithm(settings, bb)<br>
> val, x, itercount, evalcount, fast_evalcount = alg.optimize()<br>
><br>
><br>
> On Thu, Sep 24, 2020 at 10:59 AM Giacomo Nannicini <<a href="mailto:giacomo.n@gmail.com" target="_blank">giacomo.n@gmail.com</a>> wrote:<br>
>><br>
>> Yes but in the code snippet you sent in the previous email, you are<br>
>> then passing a different RbfoptSettings object to RbfoptAlgorithm --<br>
>> not the one for which you set the path.<br>
>><br>
>> On Wed, Sep 23, 2020 at 8:50 PM Chuong Thaidoan<br>
>> <<a href="mailto:chuongthaidoan@gmail.com" target="_blank">chuongthaidoan@gmail.com</a>> wrote:<br>
>> ><br>
>> > Dear Giacomo,<br>
>> > Thank you for your prompt reply. I already set the Path in the second line of the Python code, which is as follows:<br>
>> ><br>
>> > settings = rbfopt.RbfoptSettings(minlp_solver_path='/home/chuong/bonmin-stable/build/bonmin',\<br>
>> > nlp_solver_path='/home/chuong/bonmin-stable/build/ipopt')<br>
>> ><br>
>> > or<br>
>> ><br>
>> > import rbfopt<br>
>> > settings = rbfopt.RbfoptSettings(minlp_solver_path='Cygwin64/home/chuong/bonmin-stable/build/bonmin',\<br>
>> > nlp_solver_path='Cygwin64/home/chuong/bonmin-stable/build/ipopt')<br>
>> ><br>
>> ><br>
>> > On Thu, Sep 24, 2020 at 10:43 AM Giacomo Nannicini <<a href="mailto:giacomo.n@gmail.com" target="_blank">giacomo.n@gmail.com</a>> wrote:<br>
>> >><br>
>> >> I do not understand the order of the code in the Python snippet.<br>
>> >> If bonmin and ipopt are not in your part, you must set the<br>
>> >> corresponding options in the RbfoptSettings object that is passed to<br>
>> >> RbfoptAlgorithm.<br>
>> >><br>
>> >> Giacomo<br>
>> >><br>
>> >> On Wed, Sep 23, 2020 at 8:38 PM Chuong Thaidoan<br>
>> >> <<a href="mailto:chuongthaidoan@gmail.com" target="_blank">chuongthaidoan@gmail.com</a>> wrote:<br>
>> >> ><br>
>> >> > Dear Giacomo,<br>
>> >> > Thank you for your advice. I have just to re-install Bonmin and run the code. It shows errors as follows. Could you please take a look and let me know some further comments?<br>
>> >> > Iter Cycle Action Objective value Time Gap<br>
>> >> > ---- ----- ------ --------------- ---- ---<br>
>> >> > 0 0 Initialization -0.782797 0.01 100.00 *<br>
>> >> > 0 0 Initialization 69.095477 0.01 100.00<br>
>> >> > 0 0 Initialization 20.000000 0.01 100.00<br>
>> >> > 0 0 GlobalStep -9.829600 0.03 100.00 *<br>
>> >> > 1 0 GlobalStep -9.946732 0.06 100.00 *<br>
>> >> > 2 0 GlobalStep -0.133622 0.08 100.00<br>
>> >> > 3 0 GlobalStep -8.304083 0.10 100.00<br>
>> >> > 4 0 GlobalStep -9.999968 0.12 100.00 *<br>
>> >> > Traceback (most recent call last):<br>
>> >> > File "C:/Users/chuong/PycharmProjects/LearningPython/Ipopt/RBFOpt_test_ipopt.py", line 14, in <module><br>
>> >> > val, x, itercount, evalcount, fast_evalcount = alg.optimize()<br>
>> >> > File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 795, in optimize<br>
>> >> > self.optimize_serial(pause_after_iters)<br>
>> >> > File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 1056, in optimize_serial<br>
>> >> > self.node_is_noisy)<br>
>> >> > File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_algorithm.py", line 2438, in local_step<br>
>> >> > categorical_info, node_pos, rbf_lambda, rbf_h, node_pos[fmin_index])<br>
>> >> > File "C:\ProgramData\Anaconda3\lib\site-packages\rbfopt\rbfopt_aux_problems.py", line 297, in minimize_rbf<br>
>> >> > if (not opt.available()):<br>
>> >> > File "C:\ProgramData\Anaconda3\lib\site-packages\pyomo\opt\base\solvers.py", line 99, in available<br>
>> >> > raise pyutilib.common.ApplicationError("Solver (%s) not available" % str(<a href="http://self.name" rel="noreferrer" target="_blank">self.name</a>))<br>
>> >> > pyutilib.common._exceptions.ApplicationError: Solver (bonmin) not available<br>
>> >> ><br>
>> >> > Your code:<br>
>> >> ><br>
>> >> > import rbfopt<br>
>> >> ><br>
>> >> > settings = rbfopt.RbfoptSettings(minlp_solver_path='/home/chuong/bonmin-stable/build/bonmin',\<br>
>> >> > nlp_solver_path='/home/chuong/bonmin-stable/build/ipopt')<br>
>> >> ><br>
>> >> > import numpy as np<br>
>> >> > def obj_funct(x):<br>
>> >> > return x[0]*x[1] - x[2]<br>
>> >> ><br>
>> >> > bb = rbfopt.RbfoptUserBlackBox(3, np.array([0] * 3), np.array([10] * 3),<br>
>> >> > np.array(['R', 'I', 'R']), obj_funct)<br>
>> >> > settings = rbfopt.RbfoptSettings(max_evaluations=50)<br>
>> >> > alg = rbfopt.RbfoptAlgorithm(settings, bb)<br>
>> >> > val, x, itercount, evalcount, fast_evalcount = alg.optimize()<br>
>> >> ><br>
>> >> ><br>
>> >> > On Wed, Sep 23, 2020 at 11:43 PM Giacomo Nannicini <<a href="mailto:giacomo.n@gmail.com" target="_blank">giacomo.n@gmail.com</a>> wrote:<br>
>> >> >><br>
>> >> >> You need both executables. You can download them from AMPL's website. If you compile from scratch, then Bonmin will also compile Ipopt.<br>
>> >> >><br>
>> >> >> If the executables are not in the system path, you can specify their location via options.<br>
>> >> >><br>
>> >> >><br>
>> >> >> G<br>
>> >> >><br>
>> >> >><br>
>> >> >> On Wed, Sep 23, 2020, 9:36 AM Chuong Thaidoan <<a href="mailto:chuongthaidoan@gmail.com" target="_blank">chuongthaidoan@gmail.com</a>> wrote:<br>
>> >> >>><br>
>> >> >>> Dear Giacomo,<br>
>> >> >>> Thank you for your email. I am re-installing Bonmin because it still shows errors although I already specified the Path. Can I ask it is true that Bonmin contains Ipopt and so we only need to install Bonmin with Cygwin 64?<br>
>> >> >>> Best regards,<br>
>> >> >>> TD Chuong<br>
>> >> >>><br>
>> >> >>> On Wed, Sep 23, 2020 at 10:46 PM Giacomo Nannicini <<a href="mailto:giacomo.n@gmail.com" target="_blank">giacomo.n@gmail.com</a>> wrote:<br>
>> >> >>>><br>
>> >> >>>> Chuong,<br>
>> >> >>>> please read the instruction manual, section 1.2. You need Bonmin and<br>
>> >> >>>> Ipopt to be in your system path, or otherwise you need to specify<br>
>> >> >>>> their location as options.<br>
>> >> >>>><br>
>> >> >>>> Best,<br>
>> >> >>>><br>
>> >> >>>> Giacomo<br>
>> >> >>>><br>
>> >> >>>><br>
>> >> >>>><br>
>> >> >>>><br>
>> >> >>>> Dear the authors,<br>
>> >> >>>> I am studying your interesting black-box function packages (RBFOpt),<br>
>> >> >>>> and I just install it with Bonmin-1.8.8 solver via Cygwin64. I put<br>
>> >> >>>> your "minimal working example" in Bonmin-1.8.8 folder and run it with<br>
>> >> >>>> Pycharm. However, it shows errors<br>
>> >> >>>> "pyutilib.common._exceptions.ApplicationError: Solver (bonmin) not<br>
>> >> >>>> available".<br>
>> >> >>>><br>
>> >> >>>> Could you please let me know some your advice? Thank you.<br>
>> >> >>>> Best regards,<br>
>> >> >>>> Chuong Thai Doan<br>
>> >> >>>> Research Fellow at School of Information Technology<br>
>> >> >>>> Deakin University, Melbourne, Australia<br>
</blockquote></div>