muamerhr / cuttingandpacking Goto Github PK
View Code? Open in Web Editor NEWHeuristic procedures and cutting pattern generation for the one dimensional cutting stock problem.
License: MIT License
Heuristic procedures and cutting pattern generation for the one dimensional cutting stock problem.
License: MIT License
Hi,
I just found your implementation and I am really impressed how you did this especially with regards to the AMPL solving part. I used your AMPL model, data and command file and let an online solver solve it. The output is as you stated in your PDF that only 491 stocks are needed compared to the heuristically calculated 508 stocks.
Do you know if there is a chance to create the cutting pattern out of the output of the AMPL solver? I have added the output here.
It would be really gread if you could share your knowledge with me how to generate the cutting pattern out of the solver output below.
Kind Regards,
Christian
Solver Output:
BPMPD 2.11: Optimal solution found, objective 490.0969705
14 iterations, 25 corrections (1.79 per iter.)
x [*] :=
j1 85.142 j206 9.69978e-10 j313 2.21718e-06
j10 4.91757e-09 j207 6.41563e-10 j314 6.3217e-09
j100 2.16035e-07 j208 3.81981e-10 j315 1.0401e-09
j101 6.96224e-09 j209 3.92736e-10 j316 4.94057e-10
j102 1.44319e-09 j21 5.99268e-07 j317 2.05685e-07
j103 3.04803e-08 j210 3.96415e-10 j318 2.21203e-09
j104 2.52774e-09 j211 2.0862e-09 j319 9.6769e-10
j105 8.07123e-10 j212 2.49829e-09 j32 1.01812e-08
j106 4.27835e-07 j213 1.30956e-09 j320 6.39883e-10
j107 2.39861e-09 j214 2.1399e-09 j321 4.18182e-10
j108 2.19411e-08 j215 1.17621e-09 j322 5.15149
j109 1.98303e-09 j216 5.36868e-09 j323 2.44601e-08
j11 1.26353e-09 j217 1.43032e-09 j324 1.85285e-09
j110 3.44944e-07 j218 3.80353e-09 j325 9.0309e-10
j111 4.69643e-09 j219 1.29232e-09 j326 6.05407e-10
j112 1.72203e-09 j22 4.88963e-09 j327 3.62429e-10
j113 8.79957e-10 j220 6.5916e-10 j328 3.70252e-10
j114 6.29588e-10 j221 6.79043e-10 j329 4.08199e-07
j115 4.53132e-10 j222 2.24184e-09 j33 1.01095e-08
j116 4.59396e-10 j223 2.37209e-07 j330 5.10527e-09
j117 5.43668e-09 j224 5.8498e-09 j331 1.59813e-09
j118 6.38138e-09 j225 1.43577e-09 j332 8.47677e-10
j119 2.07513e-08 j226 3.30779e-08 j333 5.76885e-10
j12 1.07787e-07 j227 2.65977e-09 j334 4.61503e-10
j120 9.66803e-09 j228 8.07257e-10 j335 3.28492e-10
j121 1.90648e-09 j229 5.37632e-07 j336 3.32921e-10
j122 1.00644e-09 j23 1.55915e-09 j337 8.82504e-08
j123 1.40605e-08 j230 2.41966e-09 j338 2.84554e-09
j124 1.43403e-08 j231 2.08779e-08 j339 1.43401e-09
j125 7.96065e-06 j232 1.96388e-09 j34 2.61855e-09
j126 4.23723e-09 j233 2.98617e-07 j340 8.04279e-10
j127 1.87454e-06 j234 4.2223e-09 j341 5.53306e-10
j128 3.34818e-09 j235 1.63647e-09 j342 4.4083e-10
j129 1.06793e-08 j236 8.69306e-10 j343 2.94018e-10
j13 7.20393e-08 j237 6.27817e-10 j344 2.9987e-10
j130 1.03513e-08 j238 4.51706e-10 j345 3.02396e-10
j131 2.61004e-09 j239 4.57637e-10 j346 2.9544e-07
j132 1.3433e-08 j24 8.48845e-10 j347 1.80721e-08
j133 2.13986e-09 j240 2.20126e-09 j348 2.39326e-09
j134 1.01955e-08 j241 2.38567e-07 j349 1.31579e-09
j135 2.62847e-09 j242 5.96261e-09 j35 1.35471e-06
j136 1.94562e-08 j243 1.44071e-09 j350 7.71051e-10
j137 2.1781e-09 j244 3.36029e-08 j351 5.35034e-10
j138 1.05639e-08 j245 2.64765e-09 j352 4.23919e-10
j139 2.64778e-09 j246 8.08855e-10 j353 3.63723e-10
j14 5.34178e-09 j247 2.02045e-09 j354 2.72037e-10
j140 1.49381e-08 j248 1.15623e-07 j355 2.75395e-10
j141 2.20942e-09 j249 1.5514e-09 j36 2.61484e-09
j142 3.00098e-07 j25 5.4394e-10 j37 3.0902
j143 6.4269e-09 j250 1.03302e-08 j38 2.64599e-09
j144 1.4875e-09 j251 1.37422e-09 j39 1.61953e-06
j145 2.90092e-09 j252 4.01231e-07 j4 9.1239e-08
j146 5.49811e-07 j253 2.85351e-09 j40 2.64637e-09
j147 2.39835e-09 j254 4.8014e-08 j41 2.63641e-07
j148 2.86492e-08 j255 2.21393e-09 j42 5.85879e-09
j149 2.02719e-09 j256 2.93872e-07 j43 1.48696e-09
j15 1.26881e-09 j257 7.73191e-09 j44 7.67835e-07
j150 5.94005e-07 j258 2.09502e-09 j45 4.16534e-09
j151 5.01484e-09 j259 1.0395e-09 j46 6.85039e-08
j152 1.39238e-07 j26 0 j47 3.22029e-09
j153 3.72022e-09 j260 6.59434e-10 j48 1.21338e-09
j154 1.55066e-09 j261 5.04832e-10 j49 7.81156e-10
j155 8.35514e-10 j262 3.35558e-10 j5 1.83714e-08
j156 5.98244e-10 j263 3.42363e-10 j50 5.63078e-10
j157 3.94559e-10 j264 3.45066e-10 j51 5.68384e-10
j158 4.0143e-10 j265 0.665412 j52 5.46857e-08
j159 7.8322e-06 j266 2.19231e-09 j53 3.50349e-08
j16 1.79226e-09 j267 5.41301e-08 j54 4.28517e-08
j160 3.07781e-09 j268 2.57134e-09 j55 100
j161 17.5065 j269 1.3325e-09 j56 8.43515e-08
j162 15.2708 j27 3.60799e-08 j57 3.97293e-08
j163 2.55054e-09 j270 2.25881e-07 j58 3.79082e-08
j164 1.54978e-06 j271 5.72372e-09 j59 1.78047e-09
j165 2.64205e-09 j272 1.44632e-09 j6 29.7161
j166 14.1289 j273 2.99794e-07 j60 2.29303e-07
j167 2.57144e-09 j274 4.09999e-09 j61 1.1603e-09
j168 1.70196e-06 j275 1.32054e-09 j62 3.59321e-08
j169 2.67773e-09 j276 6.6217e-10 j63 1.83752e-09
j17 4.23378e-07 j277 6.83018e-10 j64 2.93265e-07
j170 2.50403e-07 j278 3.44527e-08 j65 1.15363e-09
j171 6.0374e-09 j279 2.68243e-09 j66 0.909067
j172 1.49298e-09 j28 119.091 j67 2.80658e-08
j173 9.44083e-07 j280 8.10258e-10 j68 1.10612e-09
j174 3.91733e-09 j281 6.84254e-07 j69 3.11259e-09
j175 1.33723e-09 j282 2.57153e-09 j7 2.61627e-09
j176 6.79313e-10 j283 2.33301e-08 j70 7.99388e-10
j177 6.97296e-10 j284 2.07813e-09 j71 4.67473e-07
j178 2.58853e-09 j285 3.42105e-07 j72 2.48936e-09
j179 2.61548e-09 j286 4.79091e-09 j73 2.33799e-08
j18 1.939e-09 j287 1.73502e-09 j74 2.14052e-09
j180 6.96931e-08 j288 8.82306e-10 j75 9.48295e-10
j181 4.70578e-09 j289 6.29439e-10 j76 5.19563e-10
j182 1.25863e-09 j29 27.8189 j77 5.38483e-10
j183 2.85958e-07 j290 4.52635e-10 j78 5.44121e-10
j184 7.03449e-08 j291 4.58848e-10 j79 0.574546
j185 6.3202e-09 j292 2.02535e-09 j8 2.641e-09
j186 1.26391e-09 j293 1.24379e-07 j80 2.23003e-09
j187 2.44071e-07 j294 1.57058e-09 j81 5.77079e-08
j188 6.99389e-08 j295 1.12816e-08 j82 2.52777e-09
j189 4.84136e-09 j296 1.39521e-09 j83 1.34396e-09
j19 1.06043e-08 j297 4.47844e-07 j84 1.03701e-08
j190 1.269e-09 j298 3.05499e-09 j85 70.2356
j191 1.82132e-09 j299 5.46229e-08 j86 1.64629e-07
j192 5.85086e-07 j3 7.79422e-08 j87 1.01439e-07
j193 1.94586e-09 j30 1.37704e-08 j88 6.43636e-08
j194 2.82654e-05 j300 2.38345e-09 j89 4.69208e-09
j195 6.7252e-08 j301 3.34559e-07 j9 6.76598e-08
j196 9.46501e-10 j302 8.78388e-09 j90 1.26912e-09
j197 5.07738e-09 j303 2.04406e-09 j91 2.19829e-09
j198 1.2125e-09 j304 1.08219e-09 j92 2.21429e-09
j199 4.95105e-07 j305 6.67338e-10 j93 1.9511e-07
j2 1.16386e-07 j306 5.058e-10 j94 5.76647e-09
j20 1.71932e-09 j307 3.35764e-10 j95 1.43804e-09
j200 2.95643e-09 j308 3.42674e-10 j96 0.796432
j201 3.68267e-08 j309 3.45414e-10 j97 2.2119e-09
j202 2.35183e-09 j31 7.87064e-07 j98 5.1766e-08
j203 4.51811e-07 j310 1.04822e-06 j99 2.5419e-09
j204 5.41303e-09 j311 3.29299e-08
j205 2.02224e-09 j312 8.9262e-10
;
sum{j in col} x[j] = 490.097
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