MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance cardqp_inlp
Binary Quadratic Programming with cardinality constraints Integer Nonlinear Programming Formulation
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 3410.33025000 (ANTIGONE) 3760.71506300 (BARON) 3433.00148000 (COUENNE) 3760.71506600 (CPLEX) 3760.71506600 (GUROBI) 3760.71506600 (LINDO) 3760.71506600 (SCIP) 3760.71506600 (SHOT) |
| Referencesⓘ | Lima, Ricardo and Grossmann, I E, On the solution of 0-1 Quadratic Programming Problems with cardinality constraints, 2012. |
| Sourceⓘ | Formulation_MINLP.gms from minlp.org model 166 |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | BQP |
| #Variablesⓘ | 50 |
| #Binary Variablesⓘ | 50 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 50 |
| #Nonlinear Binary Variablesⓘ | 50 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 50 |
| #Nonlinear Nonzeros in Objectiveⓘ | 50 |
| #Constraintsⓘ | 1 |
| #Linear Constraintsⓘ | 1 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 50 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 2450 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 50 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 50 |
| Average blocksize in Hessian of Lagrangianⓘ | 50.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 9.9821e+01 |
| Infeasibility of initial pointⓘ | 10 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 2 2 0 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 51 1 50 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 101 51 50 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,objvar;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50;
Equations e1,e2;
e1.. -(85.11033726*b1*b2 + 57.28565882*b1*b3 + 33.60810088*b1*b4 + 32.760151115
*b1*b5 + 26.285022365*b1*b6 + 38.23389788*b1*b7 + 86.345682965*b1*b8 +
11.375803685*b1*b9 + 52.520013555*b1*b10 + 99.821174565*b1*b11 +
59.97967091*b1*b12 + 99.157638705*b1*b13 + 77.413794365*b1*b14 +
17.415785885*b1*b15 + 65.773282105*b1*b16 + 20.15419708*b1*b17 +
28.757650635*b1*b18 + 68.548217855*b1*b19 + 46.358856195*b1*b20 +
39.17152527*b1*b21 + 38.38692996*b1*b22 + 17.49170105*b1*b23 + 19.25966986
*b1*b24 + 60.96579675*b1*b25 + 83.93481714*b1*b26 + 26.92749511*b1*b27 +
68.2447737*b1*b28 + 78.70647257*b1*b29 + 33.847555315*b1*b30 +
15.496767645*b1*b31 + 52.72656227*b1*b32 + 20.21641239*b1*b33 +
87.883919545*b1*b34 + 30.185881775*b1*b35 + 32.15236059*b1*b36 +
61.42581259*b1*b37 + 73.658311745*b1*b38 + 64.683624315*b1*b39 +
49.060797175*b1*b40 + 44.26416443*b1*b41 + 16.181058915*b1*b42 +
34.850165365*b1*b43 + 9.42239383*b1*b44 + 37.16227584*b1*b45 +
22.299461335*b1*b46 + 66.344077065*b1*b47 + 58.270826965*b1*b48 +
78.1463634*b1*b49 + 33.29155708*b1*b50 + 67.805094795*b2*b1 + 64.607512405
*b2*b3 + 31.96709881*b2*b4 + 13.21033928*b2*b5 + 14.738893555*b2*b6 +
65.918859345*b2*b7 + 56.80440231*b2*b8 + 7.99486094*b2*b9 + 80.27426099*b2
*b10 + 11.91286481*b2*b11 + 21.687799655*b2*b12 + 54.935098235*b2*b13 +
76.269728555*b2*b14 + 21.92175283*b2*b15 + 8.24339367*b2*b16 +
60.587461435*b2*b17 + 64.01684848*b2*b18 + 41.9893805*b2*b19 +
39.077844535*b2*b20 + 28.088288615*b2*b21 + 28.410046205*b2*b22 +
17.397766285*b2*b23 + 93.6777234*b2*b24 + 41.09410107*b2*b25 +
79.423043795*b2*b26 + 33.50325451*b2*b27 + 16.92090609*b2*b28 +
76.143039975*b2*b29 + 11.577083985*b2*b30 + 24.191477915*b2*b31 +
5.48125651*b2*b32 + 30.61323994*b2*b33 + 52.485890125*b2*b34 +
19.372157555*b2*b35 + 21.546098225*b2*b36 + 36.41058473*b2*b37 +
35.10607513*b2*b38 + 35.598260725*b2*b39 + 96.577780895*b2*b40 +
99.392209475*b2*b41 + 40.140790225*b2*b42 + 40.424413865*b2*b43 +
78.33794135*b2*b44 + 42.68499349*b2*b45 + 91.744150875*b2*b46 +
16.35988435*b2*b47 + 74.870494455*b2*b48 + 10.264755125*b2*b49 +
59.748481475*b2*b50 + 9.88367545*b3*b1 + 5.57079496*b3*b2 + 54.388712765*
b3*b4 + 64.743339225*b3*b5 + 26.4462386*b3*b6 + 42.63153376*b3*b7 +
31.220582445*b3*b8 + 19.47539776*b3*b9 + 93.95066942*b3*b10 + 45.15275605*
b3*b11 + 17.792997255*b3*b12 + 41.67528333*b3*b13 + 40.590110965*b3*b14 +
30.5056988*b3*b15 + 95.095198925*b3*b16 + 22.949330875*b3*b17 +
33.26340706*b3*b18 + 12.08251277*b3*b19 + 43.127894415*b3*b20 +
14.660473715*b3*b21 + 41.46951295*b3*b22 + 35.788923065*b3*b23 +
23.25276629*b3*b24 + 15.67500142*b3*b25 + 61.67302368*b3*b26 + 53.58764816
*b3*b27 + 9.281275605*b3*b28 + 79.39469038*b3*b29 + 94.846194425*b3*b30 +
61.66394282*b3*b31 + 62.697423595*b3*b32 + 39.438399745*b3*b33 +
61.436456295*b3*b34 + 69.586137505*b3*b35 + 53.12586209*b3*b36 +
20.12911898*b3*b37 + 67.404749975*b3*b38 + 54.76856219*b3*b39 +
16.817665885*b3*b40 + 98.73846878*b3*b41 + 26.671691175*b3*b42 +
69.187215785*b3*b43 + 78.793858415*b3*b44 + 93.582919955*b3*b45 +
24.117948485*b3*b46 + 33.227925415*b3*b47 + 23.73661421*b3*b48 +
28.402843115*b3*b49 + 66.415264935*b3*b50 + 74.822398045*b4*b1 +
13.11649068*b4*b2 + 19.28303302*b4*b3 + 22.759100975*b4*b5 + 70.805830915*
b4*b6 + 77.482506345*b4*b7 + 19.70658368*b4*b8 + 41.99094648*b4*b9 +
71.065615825*b4*b10 + 85.35213753*b4*b11 + 63.208489965*b4*b12 +
97.717327935*b4*b13 + 7.55449167*b4*b14 + 22.807629445*b4*b15 +
13.27628942*b4*b16 + 56.33806061*b4*b17 + 17.052107455*b4*b18 +
74.729908135*b4*b19 + 15.75704095*b4*b20 + 51.393624965*b4*b21 +
80.582035245*b4*b22 + 51.744471935*b4*b23 + 55.68829424*b4*b24 +
6.00931933*b4*b25 + 56.667664725*b4*b26 + 47.857263265*b4*b27 +
97.656196575*b4*b28 + 22.465482955*b4*b29 + 20.535565365*b4*b30 +
7.340271515*b4*b31 + 21.89314453*b4*b32 + 10.82525864*b4*b33 + 6.58117031*
b4*b34 + 84.387210845*b4*b35 + 62.157608135*b4*b36 + 7.5665941*b4*b37 +
23.62891708*b4*b38 + 95.317520775*b4*b39 + 36.87646663*b4*b40 +
61.454936645*b4*b41 + 29.623175875*b4*b42 + 65.86020283*b4*b43 +
19.74865785*b4*b44 + 48.70157396*b4*b45 + 42.36729563*b4*b46 +
81.518935125*b4*b47 + 56.39421853*b4*b48 + 42.118575085*b4*b49 +
57.99280899*b4*b50 + 93.612249685*b5*b1 + 38.13272649*b5*b2 + 5.787283335*
b5*b3 + 95.139436055*b5*b4 + 36.69450363*b5*b6 + 98.456016965*b5*b7 +
77.81352007*b5*b8 + 15.45898358*b5*b9 + 99.506334685*b5*b10 + 60.130829495
*b5*b11 + 20.809482665*b5*b12 + 66.11893552*b5*b13 + 37.709670875*b5*b14
+ 91.670925445*b5*b15 + 90.505943105*b5*b16 + 6.544547145*b5*b17 +
40.01990434*b5*b18 + 68.116091925*b5*b19 + 61.37117315*b5*b20 +
8.284235025*b5*b21 + 84.9728791*b5*b22 + 93.54766384*b5*b23 + 53.256644315
*b5*b24 + 33.46169334*b5*b25 + 52.17922585*b5*b26 + 9.26839199*b5*b27 +
78.50182623*b5*b28 + 55.63213632*b5*b29 + 75.9428517*b5*b30 + 73.40476387*
b5*b31 + 65.00205453*b5*b32 + 15.91709505*b5*b33 + 97.260234865*b5*b34 +
72.140601245*b5*b35 + 98.69581359*b5*b36 + 86.20796023*b5*b37 + 64.0369064
*b5*b38 + 71.624913505*b5*b39 + 71.58442384*b5*b40 + 80.116756405*b5*b41
+ 62.97132997*b5*b42 + 10.15970593*b5*b43 + 51.091729785*b5*b44 +
9.992054395*b5*b45 + 71.36518151*b5*b46 + 23.504443615*b5*b47 +
26.47326382*b5*b48 + 82.29534761*b5*b49 + 99.214399115*b5*b50 +
76.313643255*b6*b1 + 73.242645705*b6*b2 + 5.05615792*b6*b3 + 30.06646763*
b6*b4 + 83.262900855*b6*b5 + 86.739101525*b6*b7 + 25.20524809*b6*b8 +
48.39496412*b6*b9 + 8.644457925*b6*b10 + 35.6851843*b6*b11 + 46.78835224*
b6*b12 + 34.956256805*b6*b13 + 17.802787005*b6*b14 + 82.04085173*b6*b15 +
44.59526413*b6*b16 + 18.46921115*b6*b17 + 49.22579099*b6*b18 +
31.884412235*b6*b19 + 90.089755135*b6*b20 + 11.11873226*b6*b21 +
44.38693901*b6*b22 + 37.45331024*b6*b23 + 49.487174845*b6*b24 +
66.053652375*b6*b25 + 66.139686465*b6*b26 + 37.07253922*b6*b27 +
14.577528645*b6*b28 + 91.0535631*b6*b29 + 25.648326*b6*b30 + 92.29229565*
b6*b31 + 47.916671325*b6*b32 + 13.54341555*b6*b33 + 40.5488575*b6*b34 +
44.42404791*b6*b35 + 43.39850733*b6*b36 + 15.608539135*b6*b37 +
76.357219375*b6*b38 + 81.323378765*b6*b39 + 7.247463355*b6*b40 +
50.683491985*b6*b41 + 31.46562763*b6*b42 + 90.65331803*b6*b43 + 6.67071123
*b6*b44 + 69.698731885*b6*b45 + 95.33613954*b6*b46 + 90.516667085*b6*b47
+ 90.38630837*b6*b48 + 88.073899025*b6*b49 + 42.14454856*b6*b50 +
52.90033988*b7*b1 + 83.970135195*b7*b2 + 62.203081215*b7*b3 + 12.81336734*
b7*b4 + 59.8869302*b7*b5 + 61.351720665*b7*b6 + 20.08327882*b7*b8 +
36.51880379*b7*b9 + 35.00625654*b7*b10 + 54.393515395*b7*b11 +
39.559875675*b7*b12 + 20.9368561*b7*b13 + 69.89313789*b7*b14 +
53.012321605*b7*b15 + 59.7423326*b7*b16 + 73.38358837*b7*b17 +
69.954202275*b7*b18 + 6.885691955*b7*b19 + 84.780616865*b7*b20 +
72.454662885*b7*b21 + 19.77339756*b7*b22 + 63.01783076*b7*b23 +
67.847505835*b7*b24 + 23.46484163*b7*b25 + 39.53430842*b7*b26 +
64.270182605*b7*b27 + 74.48198027*b7*b28 + 44.327468915*b7*b29 +
19.96192259*b7*b30 + 6.18932571*b7*b31 + 5.96632974*b7*b32 + 95.442969985*
b7*b33 + 97.78452495*b7*b34 + 96.800271845*b7*b35 + 86.346525995*b7*b36 +
18.452974225*b7*b37 + 9.724691335*b7*b38 + 57.5381179*b7*b39 +
22.482772765*b7*b40 + 99.44581389*b7*b41 + 81.86334974*b7*b42 +
34.08963935*b7*b43 + 13.30319399*b7*b44 + 45.897741015*b7*b45 +
38.22002788*b7*b46 + 16.14734294*b7*b47 + 60.66823699*b7*b48 + 47.32504809
*b7*b49 + 44.170259305*b7*b50 + 91.87890144*b8*b1 + 25.309467555*b8*b2 +
26.296402795*b8*b3 + 56.521695895*b8*b4 + 64.950360755*b8*b5 + 36.10620948
*b8*b6 + 19.13455866*b8*b7 + 28.848054155*b8*b9 + 10.945769655*b8*b10 +
34.4636971*b8*b11 + 8.818724215*b8*b12 + 83.0107396*b8*b13 + 26.941275145*
b8*b14 + 43.95269344*b8*b15 + 33.745189395*b8*b16 + 47.267580025*b8*b17 +
73.020184775*b8*b18 + 61.34972234*b8*b19 + 17.463464105*b8*b20 +
20.31828469*b8*b21 + 34.98508104*b8*b22 + 59.34566314*b8*b23 + 30.52847258
*b8*b24 + 8.4572381*b8*b25 + 70.20719953*b8*b26 + 69.089905575*b8*b27 +
36.55220313*b8*b28 + 77.194187805*b8*b29 + 21.7941304*b8*b30 +
69.835576535*b8*b31 + 68.934043065*b8*b32 + 83.965313185*b8*b33 +
53.941160545*b8*b34 + 31.888023565*b8*b35 + 57.76491577*b8*b36 +
44.32920257*b8*b37 + 11.973728555*b8*b38 + 81.570628425*b8*b39 +
36.60806332*b8*b40 + 13.04551409*b8*b41 + 59.355604795*b8*b42 + 7.09529283
*b8*b43 + 75.49370804*b8*b44 + 90.984467605*b8*b45 + 58.2776454*b8*b46 +
49.91843219*b8*b47 + 73.16858532*b8*b48 + 53.73598344*b8*b49 + 89.27271001
*b8*b50 + 78.294681675*b9*b1 + 18.311831015*b9*b2 + 30.12896984*b9*b3 +
69.84273469*b9*b4 + 47.731426075*b9*b5 + 96.72485733*b9*b6 + 96.00000904*
b9*b7 + 90.4265251*b9*b8 + 48.42440994*b9*b10 + 61.63712717*b9*b11 +
88.46924143*b9*b12 + 21.213896525*b9*b13 + 65.192208525*b9*b14 +
78.301011905*b9*b15 + 59.09736943*b9*b16 + 7.629398505*b9*b17 +
82.04440986*b9*b18 + 31.49830516*b9*b19 + 46.16816849*b9*b20 + 36.94491755
*b9*b21 + 60.92105403*b9*b22 + 59.56721055*b9*b23 + 56.625031005*b9*b24 +
59.925346205*b9*b25 + 97.835511925*b9*b26 + 35.53926715*b9*b27 +
77.4823134*b9*b28 + 96.43883323*b9*b29 + 95.15404411*b9*b30 + 29.309458515
*b9*b31 + 35.869877695*b9*b32 + 25.40486019*b9*b33 + 21.525950815*b9*b34
+ 74.46908231*b9*b35 + 30.66531723*b9*b36 + 77.055141625*b9*b37 +
63.65584563*b9*b38 + 32.64475775*b9*b39 + 75.36632767*b9*b40 + 5.737486805
*b9*b41 + 87.31842302*b9*b42 + 6.43837828*b9*b43 + 45.687016195*b9*b44 +
39.071691385*b9*b45 + 71.962734835*b9*b46 + 44.50772733*b9*b47 +
57.230810095*b9*b48 + 37.77850075*b9*b49 + 71.459891*b9*b50 + 93.680105335
*b10*b1 + 49.58157796*b10*b2 + 25.29304538*b10*b3 + 53.524377685*b10*b4 +
39.742971835*b10*b5 + 93.86304351*b10*b6 + 11.460786695*b10*b7 +
52.86734809*b10*b8 + 42.27885348*b10*b9 + 55.30679666*b10*b11 +
60.963260535*b10*b12 + 37.85132908*b10*b13 + 29.02380653*b10*b14 +
57.027428965*b10*b15 + 57.01077955*b10*b16 + 10.535350275*b10*b17 +
40.88361223*b10*b18 + 97.536371935*b10*b19 + 41.082779255*b10*b20 +
19.847877465*b10*b21 + 49.864482735*b10*b22 + 42.71520729*b10*b23 +
24.524576605*b10*b24 + 64.597540065*b10*b25 + 5.33685423*b10*b26 +
52.87553994*b10*b27 + 5.211605755*b10*b28 + 54.529738175*b10*b29 +
84.431638165*b10*b30 + 11.85104432*b10*b31 + 77.26162175*b10*b32 +
32.56388121*b10*b33 + 28.27024791*b10*b34 + 46.41806067*b10*b35 +
40.036748505*b10*b36 + 57.57519602*b10*b37 + 12.093029175*b10*b38 +
91.396980975*b10*b39 + 9.62634762*b10*b40 + 82.933891155*b10*b41 +
80.330284295*b10*b42 + 67.65583659*b10*b43 + 42.21823265*b10*b44 +
44.249491965*b10*b45 + 87.239690725*b10*b46 + 97.65513761*b10*b47 +
59.375740995*b10*b48 + 34.8268916*b10*b49 + 48.227895505*b10*b50 +
40.24685915*b11*b1 + 44.8855353*b11*b2 + 13.103814165*b11*b3 + 82.38171648
*b11*b4 + 53.373692675*b11*b5 + 74.769581465*b11*b6 + 83.316415115*b11*b7
+ 44.380240275*b11*b8 + 92.82049926*b11*b9 + 42.444043755*b11*b10 +
71.069633375*b11*b12 + 69.285831675*b11*b13 + 59.29655023*b11*b14 +
21.483975635*b11*b15 + 62.413113675*b11*b16 + 60.669483865*b11*b17 +
74.13917657*b11*b18 + 28.39156405*b11*b19 + 18.49779608*b11*b20 +
89.66328541*b11*b21 + 47.062637285*b11*b22 + 15.860124595*b11*b23 +
90.84379588*b11*b24 + 36.715875685*b11*b25 + 99.62219203*b11*b26 +
49.12699593*b11*b27 + 55.39678427*b11*b28 + 23.086198325*b11*b29 +
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36.43231883*b48*b31 + 73.90360032*b48*b32 + 73.997639395*b48*b33 +
66.252131315*b48*b34 + 34.988377825*b48*b35 + 50.099015505*b48*b36 +
41.47450691*b48*b37 + 40.05333636*b48*b38 + 32.9175531*b48*b39 +
73.837010735*b48*b40 + 37.337529085*b48*b41 + 90.5399684*b48*b42 +
15.328066455*b48*b43 + 69.286326055*b48*b44 + 21.051758315*b48*b45 +
28.148254895*b48*b46 + 81.22397922*b48*b47 + 15.503928365*b48*b49 +
47.991046445*b48*b50 + 53.18795998*b49*b1 + 65.347097*b49*b2 +
69.768892425*b49*b3 + 44.693375855*b49*b4 + 91.517109805*b49*b5 +
85.07599989*b49*b6 + 82.657355655*b49*b7 + 57.443842465*b49*b8 +
6.66678469*b49*b9 + 17.326582975*b49*b10 + 66.83492981*b49*b11 +
95.97004015*b49*b12 + 52.82258618*b49*b13 + 5.018923525*b49*b14 +
55.66802485*b49*b15 + 91.786621765*b49*b16 + 57.893752965*b49*b17 +
54.132036825*b49*b18 + 33.98017541*b49*b19 + 14.534631585*b49*b20 +
91.63235611*b49*b21 + 30.48283895*b49*b22 + 57.287291015*b49*b23 +
82.038789565*b49*b24 + 14.31389462*b49*b25 + 22.433158445*b49*b26 +
83.339571745*b49*b27 + 71.45923284*b49*b28 + 37.94355793*b49*b29 +
18.45799982*b49*b30 + 66.49538157*b49*b31 + 61.48421232*b49*b32 +
64.04281046*b49*b33 + 19.702793085*b49*b34 + 16.744163245*b49*b35 +
49.814341925*b49*b36 + 31.76051314*b49*b37 + 21.254593195*b49*b38 +
57.53777039*b49*b39 + 18.153422885*b49*b40 + 92.373369885*b49*b41 +
17.841986855*b49*b42 + 75.51561504*b49*b43 + 53.99856724*b49*b44 +
47.815726605*b49*b45 + 47.92163555*b49*b46 + 33.74172446*b49*b47 +
7.533328995*b49*b48 + 27.124919265*b49*b50 + 46.53117641*b50*b1 +
46.775896505*b50*b2 + 71.95557497*b50*b3 + 29.47491289*b50*b4 +
63.418927885*b50*b5 + 87.24526922*b50*b6 + 25.78901929*b50*b7 +
44.89814427*b50*b8 + 31.45824651*b50*b9 + 86.617976905*b50*b10 +
47.14308718*b50*b11 + 57.7430462*b50*b12 + 13.714360925*b50*b13 +
21.83495494*b50*b14 + 57.72564562*b50*b15 + 28.632520055*b50*b16 +
64.53772132*b50*b17 + 78.91898586*b50*b18 + 31.02128413*b50*b19 +
89.415893535*b50*b20 + 61.79824394*b50*b21 + 12.79473746*b50*b22 +
17.657529915*b50*b23 + 93.92683905*b50*b24 + 81.617078485*b50*b25 +
58.58332044*b50*b26 + 19.439326545*b50*b27 + 72.19038761*b50*b28 +
94.926828145*b50*b29 + 57.50064154*b50*b30 + 18.71946319*b50*b31 +
69.42690658*b50*b32 + 21.315692445*b50*b33 + 91.47082191*b50*b34 +
46.270377945*b50*b35 + 85.11524325*b50*b36 + 83.55283772*b50*b37 +
60.686949615*b50*b38 + 58.14422056*b50*b39 + 56.745149575*b50*b40 +
96.13992295*b50*b41 + 98.07542578*b50*b42 + 30.006928565*b50*b43 +
10.307621785*b50*b44 + 60.361278405*b50*b45 + 54.35051735*b50*b46 +
5.953630045*b50*b47 + 60.792235645*b50*b48 + 6.84009452*b50*b49 +
21.31597754*b1 + 76.80305903*b2 + 43.116629885*b3 + 46.247906645*b4 +
59.332752165*b5 + 82.855208735*b6 + 69.95841068*b7 + 93.26903815*b8 +
36.116835705*b9 + 24.461178165*b10 + 47.209906095*b11 + 65.279147775*b12
+ 37.31489961*b13 + 76.620069365*b14 + 54.68664787*b15 + 76.16864219*b16
+ 64.61964951*b17 + 78.741532605*b18 + 88.92153776*b19 + 68.038138535*b20
+ 37.34750513*b21 + 87.9305065*b22 + 62.441710385*b23 + 47.31022999*b24
+ 74.599621715*b25 + 90.207678065*b26 + 90.196297255*b27 + 37.20780516*
b28 + 53.562178565*b29 + 42.61416947*b30 + 33.977929705*b31 + 71.195395895
*b32 + 30.868823*b33 + 70.05497248*b34 + 8.815194775*b35 + 15.497411935*
b36 + 55.24293424*b37 + 33.45769764*b38 + 47.00069244*b39 + 78.426092325*
b40 + 66.322673185*b41 + 15.872944465*b42 + 69.690684815*b43 + 84.21475839
*b44 + 34.50164827*b45 + 74.02259428*b46 + 25.956933025*b47 + 45.36004947*
b48 + 56.62879614*b49 + 38.04903567*b50) + objvar =E= 0;
e2.. b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
+ b14 + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25
+ b26 + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36 + b37
+ b38 + b39 + b40 + b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49
+ b50 =E= 10;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f