MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance qp2
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00080932 (ANTIGONE) 0.00080931 (BARON) -0.12325335 (COUENNE) 0.00080932 (CPLEX) 0.00080932 (LINDO) 0.00080930 (SCIP) |
| Referencesⓘ | Brooke, Anthony, Kendrick, D, and Meeraus, Alexander, GAMS: A User's Guide, The Scientific Press, Redwood City, California, 1988. |
| Sourceⓘ | GAMS Model Library model qp2 |
| Applicationⓘ | Portfolio Optimization |
| Added to libraryⓘ | 31 Jul 2001 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Instance is continuous and convex. |
| Problem typeⓘ | QP |
| #Variablesⓘ | 50 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 50 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 50 |
| #Nonlinear Nonzeros in Objectiveⓘ | 50 |
| #Constraintsⓘ | 2 |
| #Linear Constraintsⓘ | 2 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 97 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 2500 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 50 |
| #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ⓘ | 7.0690e-05 |
| Maximal coefficientⓘ | 1.5483e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 3 2 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 51 51 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 148 98 50 0
*
* Solve m using NLP minimizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51;
Positive Variables x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51;
Equations e1,e2,e3;
e1.. -(0.0281500000000001*x2*x2 + 0.0513642857142858*x2*x3 + 0.0335428571428573
*x2*x4 + 0.00899999999999991*x2*x5 + 0.0115071428571429*x2*x6 +
0.230042857142858*x2*x7 + 0.0147142857142857*x2*x8 - 0.0459000000000002*x2
*x9 + 0.0679000000000001*x2*x10 + 0.0379499999999999*x2*x11 + 0.0225*x2*
x12 - 0.0256214285714285*x2*x13 - 0.0271642857142857*x2*x14 +
0.027207142857143*x2*x15 + 0.242764285714286*x2*x16 + 0.0490857142857145*
x2*x17 - 0.000985714285714262*x2*x18 + 0.0178142857142857*x2*x19 +
0.00557857142857148*x2*x20 - 0.014107142857143*x2*x21 + 0.0192857142857142
*x2*x22 + 0.00216428571428575*x2*x23 + 0.00959285714285709*x2*x24 +
0.0321571428571426*x2*x25 + 0.00843571428571421*x2*x26 + 0.0162*x2*x27 +
0.127142857142857*x2*x28 - 0.00324285714285726*x2*x29 + 0.0493714285714286
*x2*x30 - 0.0346857142857144*x2*x31 + 0.425914285714286*x2*x32 + 0.19425*
x2*x33 + 0.0256642857142857*x2*x34 + 0.126614285714285*x2*x35 +
0.00850000000000001*x2*x36 + 0.143635714285715*x2*x37 + 0.0107142857142857
*x2*x38 + 0.00837857142857168*x2*x39 + 0.00178571428571422*x2*x40 +
0.0921714285714287*x2*x41 - 0.0130142857142857*x2*x42 + 0.0122142857142856
*x2*x43 + 0.0525142857142854*x2*x44 + 0.0871785714285707*x2*x45 +
0.000821428571428605*x2*x46 + 0.0128071428571428*x2*x47 -
0.00717142857142861*x2*x48 + 0.205935714285714*x2*x49 + 0.0257142857142857
*x2*x50 + 0.2684*x2*x51 + 0.177550492610837*x3*x3 + 0.172949507389163*x3*
x4 + 0.243923399014778*x3*x5 + 0.04085*x3*x6 + 0.257874137931034*x3*x7 +
0.00735837438423661*x3*x8 + 0.302198275862069*x3*x9 + 0.342185714285715*x3
*x10 + 0.270659359605911*x3*x11 + 0.0316748768472906*x3*x12 +
0.0845812807881775*x3*x13 - 0.0860886699507389*x3*x14 + 0.0839586206896551
*x3*x15 + 0.411988669950739*x3*x16 + 0.146471428571429*x3*x17 +
0.170961083743842*x3*x18 + 0.0853578817733989*x3*x19 + 0.0157268472906405*
x3*x20 - 0.0835847290640396*x3*x21 + 0.312437931034482*x3*x22 -
0.0105788177339902*x3*x23 - 0.0337780788177339*x3*x24 - 0.257972413793103*
x3*x25 - 0.0167748768472903*x3*x26 - 0.00990147783251224*x3*x27 +
0.599661083743842*x3*x28 + 0.0325364532019703*x3*x29 + 0.147851477832512*
x3*x30 - 0.248196551724138*x3*x31 + 1.2969960591133*x3*x32 +
0.23682290640394*x3*x33 + 0.0415295566502465*x3*x34 + 0.0760815270935958*
x3*x35 + 0.0176169950738915*x3*x36 + 0.243091133004927*x3*x37 +
0.0961637931034482*x3*x38 - 0.016907881773399*x3*x39 - 0.0640238916256154*
x3*x40 + 0.246583004926108*x3*x41 + 0.0494928571428573*x3*x42 -
0.0181371921182268*x3*x43 + 0.0322384236453201*x3*x44 + 0.188787438423645*
x3*x45 + 0.000144827586206877*x3*x46 + 0.0228364532019704*x3*x47 +
0.0124899014778325*x3*x48 + 0.521293103448276*x3*x49 - 0.0783123152709359*
x3*x50 + 0.702118472906403*x3*x51 + 0.320196551724138*x4*x4 +
0.55691330049261*x4*x5 + 0.0417500000000002*x4*x6 + 0.213237931034482*x4*
x7 - 0.00992561576354662*x4*x8 + 0.428633004926108*x4*x9 +
0.462857142857142*x4*x10 + 0.333238177339902*x4*x11 - 0.0508802955665021*
x4*x12 + 0.0854736453201968*x4*x13 + 0.0994514778325129*x4*x14 +
0.038942118226601*x4*x15 + 0.101084236453201*x4*x16 + 0.00545000000000002*
x4*x17 + 0.117505172413792*x4*x18 - 0.0019110837438425*x4*x19 +
0.297904433497537*x4*x20 - 0.116521921182267*x4*x21 - 0.102568965517242*x4
*x22 + 0.00361083743842365*x4*x23 - 0.0235931034482758*x4*x24 -
0.0538423645320183*x4*x25 - 0.00597684729064079*x4*x26 +
0.00508645320197085*x4*x27 + 0.61719802955665*x4*x28 - 0.0383825123152713*
x4*x29 - 0.128293596059112*x4*x30 - 0.160658866995073*x4*x31 +
1.41539482758621*x4*x32 - 0.156736453201968*x4*x33 - 0.0042719211822659*x4
*x34 - 0.316872906403939*x4*x35 + 0.0581093596059113*x4*x36 +
0.282797290640396*x4*x37 - 0.000835467980295442*x4*x38 + 0.673225369458129
*x4*x39 + 0.143979802955665*x4*x40 + 0.353319211822661*x4*x41 -
0.00141428571428542*x4*x42 - 0.10021354679803*x4*x43 - 0.15824778325123*x4
*x44 - 0.158804433497535*x4*x45 + 0.026541871921182*x4*x46 -
0.0243825123152708*x4*x47 + 0.0274300492610837*x4*x48 + 0.287846305418722*
x4*x49 - 0.0759795566502451*x4*x50 + 0.472080049261084*x4*x51 +
0.873730541871921*x5*x5 - 0.00419285714285682*x5*x6 + 0.25250541871921*x5*
x7 - 0.00611896551724109*x5*x8 + 0.750925123152709*x5*x9 +
0.719421428571429*x5*x10 + 0.366447290640393*x5*x11 - 0.072721674876847*x5
*x12 + 0.141305418719212*x5*x13 + 0.097879802955666*x5*x14 +
0.0293458128078814*x5*x15 + 0.27000591133005*x5*x16 + 0.168778571428572*x5
*x17 + 0.0638935960591132*x5*x18 + 0.0362086206896549*x5*x19 +
0.258382266009853*x5*x20 - 0.0830337438423637*x5*x21 + 0.176890147783252*
x5*x22 + 0.0117923645320197*x5*x23 + 0.0355295566502463*x5*x24 -
0.453409113300492*x5*x25 + 0.258643103448276*x5*x26 - 0.0156029556650243*
x5*x27 + 1.2903078817734*x5*x28 + 0.151115763546798*x5*x29 -
0.13013275862069*x5*x30 - 0.32102881773399*x5*x31 + 1.28974211822661*x5*
x32 + 0.0314600985221714*x5*x33 + 0.0918948275862076*x5*x34 -
0.413765517241378*x5*x35 + 0.00576970443349716*x5*x36 - 0.186232019704433*
x5*x37 + 0.137184729064039*x5*x38 + 0.915548522167486*x5*x39 -
0.0663692118226579*x5*x40 + 0.399723152709359*x5*x41 - 0.0895214285714285*
x5*x42 + 0.0609399014778322*x5*x43 - 0.475187438423644*x5*x44 -
0.106889408866993*x5*x45 + 0.0262825123152707*x5*x46 - 0.0710270935960592*
x5*x47 + 0.00217266009852216*x5*x48 + 0.385836206896555*x5*x49 -
0.1264460591133*x5*x50 + 1.12781551724138*x5*x51 + 0.0626*x6*x6 -
0.0498642857142859*x6*x7 + 8.57142857143759e-5*x6*x8 + 0.0946071428571428*
x6*x9 + 0.118171428571428*x6*x10 + 0.0965214285714286*x6*x11 +
0.0295999999999999*x6*x12 - 0.0444214285714287*x6*x13 - 0.0492428571428576
*x6*x14 + 0.0163785714285714*x6*x15 + 0.262814285714286*x6*x16 +
0.0614642857142857*x6*x17 + 0.0217857142857142*x6*x18 - 0.0296428571428572
*x6*x19 + 0.00299285714285723*x6*x20 + 0.0922642857142857*x6*x21 -
0.0154928571428577*x6*x22 - 0.00444285714285716*x6*x23 -
0.0336357142857143*x6*x24 + 0.0673428571428571*x6*x25 + 0.0682571428571428
*x6*x26 - 0.0532500000000001*x6*x27 + 0.123928571428571*x6*x28 -
0.0134785714285714*x6*x29 + 0.0742928571428571*x6*x30 - 0.0506285714285713
*x6*x31 + 0.462014285714285*x6*x32 + 0.214471428571428*x6*x33 +
0.0314928571428569*x6*x34 + 0.094714285714286*x6*x35 - 0.00294285714285725
*x6*x36 - 0.0632071428571428*x6*x37 + 0.00222857142857146*x6*x38 +
0.270714285714286*x6*x39 + 0.0418928571428571*x6*x40 + 0.141742857142857*
x6*x41 + 0.0211142857142858*x6*x42 - 0.0564071428571429*x6*x43 -
0.0231928571428568*x6*x44 - 0.171985714285714*x6*x45 - 0.00144285714285712
*x6*x46 - 0.00922142857142856*x6*x47 - 0.00284285714285716*x6*x48 + 0.1391
*x6*x49 - 0.0680357142857143*x6*x50 + 0.142949999999999*x6*x51 +
4.2131421182266*x7*x7 + 0.107162315270936*x7*x8 + 0.24068275862069*x7*x9
+ 0.743657142857144*x7*x10 + 1.35937216748768*x7*x11 + 0.064291625615764*
x7*x12 - 0.583558620689655*x7*x13 - 0.384515270935961*x7*x14 +
0.210421921182266*x7*x15 + 1.8489224137931*x7*x16 + 0.151878571428571*x7*
x17 + 0.300689408866996*x7*x18 + 0.352500246305419*x7*x19 +
0.511497044334974*x7*x20 + 0.0453169950738911*x7*x21 + 1.77857931034483*x7
*x22 + 0.03339039408867*x7*x23 + 0.106426354679803*x7*x24 +
0.481854433497537*x7*x25 + 0.0109369458128081*x7*x26 + 0.308978078817734*
x7*x27 + 0.182567980295567*x7*x28 + 0.0529573891625614*x7*x29 +
1.07010049261084*x7*x30 - 0.130058374384237*x7*x31 + 2.45368201970444*x7*
x32 + 2.37463620689655*x7*x33 + 0.504781280788178*x7*x34 +
1.21014384236453*x7*x35 + 0.137869950738916*x7*x36 + 0.871004187192115*x7*
x37 + 0.178502216748769*x7*x38 - 0.730171674876847*x7*x39 +
0.184975369458126*x7*x40 + 0.122044334975371*x7*x41 - 0.180492857142857*x7
*x42 - 0.146379064039408*x7*x43 - 0.856694334975368*x7*x44 +
1.90122438423645*x7*x45 - 0.0383874384236454*x7*x46 - 0.104314039408867*x7
*x47 - 0.10731527093596*x7*x48 + 1.19916674876847*x7*x49 +
0.645591133004926*x7*x50 + 3.35639187192118*x7*x51 + 0.0232891625615763*x8
*x8 - 0.00468965517241351*x8*x9 + 0.0290785714285715*x8*x10 -
0.0075704433497538*x8*x11 + 0.0126793103448275*x8*x12 - 0.0283091133004925
*x8*x13 - 0.0177394088669949*x8*x14 - 0.0144231527093596*x8*x15 +
0.023432266009853*x8*x16 + 0.0303214285714287*x8*x17 - 0.0325879310344824*
x8*x18 + 0.00405985221674876*x8*x19 + 0.00774605911330055*x8*x20 -
0.0210059113300495*x8*x21 + 0.0834581280788175*x8*x22 + 0.0014229064039409
*x8*x23 + 0.021461330049261*x8*x24 + 0.117870197044335*x8*x25 +
0.0101921182266011*x8*x26 + 0.0280660098522168*x8*x27 + 0.0290334975369464
*x8*x28 - 0.00953300492610832*x8*x29 + 0.0540625615763548*x8*x30 +
0.0155650246305417*x8*x31 + 0.0941593596059125*x8*x32 + 0.227676847290641*
x8*x33 + 0.0389083743842365*x8*x34 + 0.142853694581281*x8*x35 +
0.0062837438423645*x8*x36 + 0.0133746305418722*x8*x37 + 0.0475458128078817
*x8*x38 + 0.0223472906403946*x8*x39 + 0.00791477832512324*x8*x40 -
0.0256337438423643*x8*x41 + 0.00615714285714272*x8*x42 +
0.0277874384236453*x8*x43 + 0.0623123152709361*x8*x44 + 0.218111083743842*
x8*x45 - 0.00809753694581278*x8*x46 + 0.0129812807881773*x8*x47 +
0.00713916256157633*x8*x48 + 0.167462807881774*x8*x49 + 0.0681667487684728
*x8*x50 + 0.242453448275863*x8*x51 + 0.718225615763547*x9*x9 +
0.619507142857142*x9*x10 + 0.50159433497537*x9*x11 + 0.0401546798029561*x9
*x12 + 0.297204187192118*x9*x13 - 0.109959113300492*x9*x14 +
0.0575009852216748*x9*x15 - 0.380055172413796*x9*x16 + 0.1944*x9*x17 +
0.208978817733989*x9*x18 + 0.114021921182266*x9*x19 + 0.266251231527093*x9
*x20 - 0.0167517241379314*x9*x21 + 0.531994334975369*x9*x22 -
0.00737635467980299*x9*x23 - 0.0952830049261084*x9*x24 - 0.466105418719212
*x9*x25 + 0.038995320197044*x9*x26 - 0.108608128078817*x9*x27 +
0.731471674876846*x9*x28 + 0.0765647783251234*x9*x29 + 0.195893842364532*
x9*x30 - 0.318045320197044*x9*x31 + 3.34352832512315*x9*x32 -
0.132106157635468*x9*x33 + 0.293612561576355*x9*x34 + 0.00528054187192075*
x9*x35 + 0.0101970443349753*x9*x36 - 0.538748768472904*x9*x37 +
0.0460330049261084*x9*x38 + 0.792499507389162*x9*x39 - 0.367377832512316*
x9*x40 + 0.564445812807882*x9*x41 + 0.1032*x9*x42 + 0.0132561576354673*x9*
x43 - 0.417210098522166*x9*x44 + 0.140098768472906*x9*x45 +
0.00648226600985206*x9*x46 - 0.00375665024630549*x9*x47 +
0.0486694581280787*x9*x48 + 0.783812068965518*x9*x49 - 0.244310591133004*
x9*x50 + 1.20654802955665*x9*x51 + 0.725057142857143*x10*x10 +
0.340992857142858*x10*x11 + 0.0865214285714272*x10*x12 + 0.153928571428571
*x10*x13 - 0.155178571428573*x10*x14 + 0.0933428571428575*x10*x15 +
0.776385714285713*x10*x16 + 0.219457142857143*x10*x17 + 0.078307142857143*
x10*x18 + 0.0918714285714286*x10*x19 + 0.273978571428571*x10*x20 +
0.247964285714286*x10*x21 + 0.28495*x10*x22 - 0.00347857142857159*x10*x23
- 0.0398000000000001*x10*x24 - 0.115842857142857*x10*x25 + 0.11955*x10*
x26 + 0.00514285714285719*x10*x27 + 0.638392857142857*x10*x28 +
0.0231285714285715*x10*x29 - 0.0839357142857142*x10*x30 -
0.219235714285714*x10*x31 + 2.57428571428572*x10*x32 + 0.303171428571427*
x10*x33 + 0.274957142857143*x10*x34 + 0.0600857142857134*x10*x35 -
0.0117357142857146*x10*x36 - 0.116028571428572*x10*x37 + 0.089914285714285
*x10*x38 + 0.8229*x10*x39 + 0.156985714285713*x10*x40 + 0.299557142857143*
x10*x41 + 0.00705714285714317*x10*x42 - 0.139542857142858*x10*x43 - 0.3475
*x10*x44 + 0.602900000000001*x10*x45 - 0.0403357142857144*x10*x46 +
0.0135428571428572*x10*x47 + 0.0312571428571429*x10*x48 +
0.553907142857144*x10*x49 - 0.0704428571428571*x10*x50 + 1.30102142857143*
x10*x51 + 0.51814802955665*x11*x11 - 0.048774384236453*x11*x12 -
0.205356403940887*x11*x13 + 0.113779064039408*x11*x14 + 0.294256896551724*
x11*x15 + 0.00152093596059157*x11*x16 + 0.0313785714285712*x11*x17 +
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0.562622167487685*x25*x39 + 0.196681034482759*x25*x40 + 0.113888423645322*
x25*x41 - 0.0603999999999998*x25*x42 + 0.0877729064039415*x25*x43 +
0.642068719211823*x25*x44 + 0.924991133004926*x25*x45 - 0.0140091133004926
*x25*x46 + 0.0625778325123154*x25*x47 + 0.00648152709359603*x25*x48 +
1.66065689655173*x25*x49 + 0.977333743842363*x25*x50 + 1.0593815270936*x25
*x51 + 0.340645320197044*x26*x26 + 0.0191194581280789*x26*x27 +
0.524686206896552*x26*x28 + 0.0685081280788179*x26*x29 -
0.0757766009852219*x26*x30 - 0.206883497536946*x26*x31 - 0.449914778325121
*x26*x32 + 0.0998091133004924*x26*x33 + 0.135460837438424*x26*x34 +
0.274261083743842*x26*x35 + 0.0457940886699506*x26*x36 - 0.298711822660098
*x26*x37 - 0.00616256157635436*x26*x38 + 0.232541871921181*x26*x39 +
0.210501477832512*x26*x40 + 0.49393448275862*x26*x41 - 0.0772714285714284*
x26*x42 - 0.0158876847290642*x26*x43 - 0.00542733990147746*x26*x44 +
0.0339475369458132*x26*x45 - 0.0030426108374384*x26*x46 -
0.00653472906403944*x26*x47 + 0.00693177339901475*x26*x48 +
0.21613842364532*x26*x49 - 0.0797854679802956*x26*x50 + 0.235103201970443*
x26*x51 + 0.15114039408867*x27*x27 - 0.00139162561576286*x27*x28 -
0.0425546798029557*x27*x29 + 0.0949477832512316*x27*x30 -
0.035769458128079*x27*x31 - 0.14784408866995*x27*x32 - 0.214359359605911*
x27*x33 + 0.0381342364532022*x27*x34 - 0.031868719211823*x27*x35 +
0.0381352216748769*x27*x36 + 0.387556157635467*x27*x37 +
0.0200864532019702*x27*x38 - 0.094316748768472*x27*x39 - 0.154574876847291
*x27*x40 + 0.264514778325124*x27*x41 + 0.0293285714285714*x27*x42 +
0.0275950738916259*x27*x43 + 0.0247566502463055*x27*x44 -
0.0625704433497539*x27*x45 - 0.00709581280788172*x27*x46 +
0.01535960591133*x27*x47 + 0.0161544334975369*x27*x48 - 0.0849253694581275
*x27*x49 + 0.143732758620689*x27*x50 + 0.385418719211823*x27*x51 +
1.61812216748769*x28*x28 + 0.0973029556650245*x28*x29 + 0.211077339901477*
x28*x30 - 0.481021921182266*x28*x31 + 4.04656995073892*x28*x32 +
1.40049876847291*x28*x33 + 0.178411083743842*x28*x34 + 1.13099753694581*
x28*x35 + 0.062117980295566*x28*x36 - 0.271564039408864*x28*x37 +
0.144833743842365*x28*x38 + 0.601089901477831*x28*x39 + 0.130997290640394*
x28*x40 + 0.813953448275861*x28*x41 - 0.0779928571428569*x28*x42 +
0.14624408866995*x28*x43 + 0.332075123152709*x28*x44 + 1.37227832512315*
x28*x45 + 0.0749935960591131*x28*x46 - 0.048675615763547*x28*x47 +
0.0562810344827586*x28*x48 + 2.68209384236453*x28*x49 -
0.00335640394088612*x28*x50 + 2.30735246305419*x28*x51 +
0.0630100985221675*x29*x29 - 0.0210596059113302*x29*x30 -
0.0186509852216748*x29*x31 + 0.250111330049262*x29*x32 +
0.0458189655172416*x29*x33 - 0.0486778325123152*x29*x34 -
0.0746334975369457*x29*x35 + 0.0082573891625615*x29*x36 -
0.186656650246306*x29*x37 - 0.00342536945812802*x29*x38 -
0.205720197044335*x29*x39 + 0.112351724137931*x29*x40 + 0.0674640394088665
*x29*x41 + 0.0148571428571428*x29*x42 + 0.0868881773399015*x29*x43 +
0.000307389162561588*x29*x44 + 0.00952807881773482*x29*x45 +
0.000394334975369398*x29*x46 + 0.0176916256157635*x29*x47 -
0.014323645320197*x29*x48 - 0.0381194581280785*x29*x49 -
0.0861628078817733*x29*x50 + 0.116990640394089*x29*x51 + 0.377697536945813
*x30*x30 - 0.00108768472906412*x30*x31 + 1.9025369458128*x30*x32 +
0.920973645320196*x30*x33 + 0.136237192118226*x30*x34 + 0.886897290640394*
x30*x35 + 0.00654334975369454*x30*x36 - 0.00177044334975395*x30*x37 +
0.0443135467980295*x30*x38 - 0.0558618226600984*x30*x39 -
0.511560837438424*x30*x40 + 0.333149507389163*x30*x41 + 0.0766285714285713
*x30*x42 + 0.0984120689655171*x30*x43 + 0.153243349753695*x30*x44 +
0.901434729064039*x30*x45 - 0.0166613300492609*x30*x46 + 0.02629039408867*
x30*x47 - 0.017804433497537*x30*x48 + 1.25149679802956*x30*x49 +
0.270610098522168*x30*x50 + 1.19674556650246*x30*x51 + 0.286431034482759*
x31*x31 - 0.141078078817735*x31*x32 + 0.0550766009852219*x31*x33 -
0.0747536945812809*x31*x34 + 0.324624630541872*x31*x35 -
0.0159583743842364*x31*x36 - 0.260766748768474*x31*x37 - 0.07007315270936*
x31*x38 - 0.306884729064038*x31*x39 + 0.223041379310345*x31*x40 -
0.432791625615763*x31*x41 + 0.0459357142857142*x31*x42 + 0.120923399014778
*x31*x43 + 0.125834482758621*x31*x44 + 0.60125960591133*x31*x45 -
0.029585960591133*x31*x46 - 0.00029384236453202*x31*x47 -
0.00398177339901475*x31*x48 + 0.258704433497537*x31*x49 +
0.266228325123153*x31*x50 - 0.242481773399014*x31*x51 + 15.4825935960591*
x32*x32 + 2.70212980295566*x32*x33 + 0.311831773399015*x32*x34 +
4.26693103448275*x32*x35 + 0.0329248768472906*x32*x36 - 2.25548596059113*
x32*x37 - 0.0637623152709365*x32*x38 + 0.707795812807883*x32*x39 -
0.724611576354681*x32*x40 + 2.19690369458128*x32*x41 - 0.0683857142857145*
x32*x42 + 0.224741625615761*x32*x43 + 2.13260344827586*x32*x44 +
2.98767881773398*x32*x45 + 7.06896551724468e-5*x32*x46 + 0.420218472906404
*x32*x47 + 0.104633251231527*x32*x48 + 8.09003472906404*x32*x49 -
0.456907881773399*x32*x50 + 7.67475467980296*x32*x51 + 3.2989118226601*x33
*x33 + 0.279437192118225*x33*x34 + 3.56001157635468*x33*x35 -
0.143035221674877*x33*x36 - 0.568491871921184*x33*x37 + 0.380363546798031*
x33*x38 + 0.904802463054186*x33*x39 + 0.934960591133004*x33*x40 +
0.0137423645320185*x33*x41 - 0.0781500000000001*x33*x42 + 0.27704064039409
*x33*x43 + 1.51518620689655*x33*x44 + 4.65547044334975*x33*x45 -
0.0153970443349753*x33*x46 + 0.0462189655172412*x33*x47 -
0.102483004926108*x33*x48 + 4.63861108374384*x33*x49 + 0.788417241379311*
x33*x50 + 2.66967413793104*x33*x51 + 0.207543349753695*x34*x34 +
0.29931724137931*x34*x35 - 0.0170472906403941*x34*x36 - 0.100387438423644*
x34*x37 + 0.0250852216748766*x34*x38 + 0.164299261083744*x34*x39 +
0.0281261083743843*x34*x40 + 0.0955687192118222*x34*x41 +
0.0542285714285716*x34*x42 + 0.0645270935960591*x34*x43 -
0.183140147783251*x34*x44 + 0.602087438423645*x34*x45 - 0.0220908866995074
*x34*x46 - 0.0212206896551725*x34*x47 + 0.0129041871921182*x34*x48 +
0.558050246305418*x34*x49 + 0.162737684729064*x34*x50 + 0.525475615763547*
x34*x51 + 2.20904014778325*x35*x35 - 0.0332275862068964*x35*x36 -
0.568169458128079*x35*x37 + 0.0330699507389154*x35*x38 - 0.143916502463054
*x35*x39 + 0.339864039408867*x35*x40 + 0.166541871921182*x35*x41 -
0.147742857142857*x35*x42 + 0.241552709359606*x35*x43 + 1.17518669950739*
x35*x44 + 4.25709802955665*x35*x45 - 0.0712226600985219*x35*x46 +
0.0781307881773396*x35*x47 - 0.0430945812807882*x35*x48 + 4.53167216748769
*x35*x49 + 0.686013054187193*x35*x50 + 2.31962684729064*x35*x51 +
0.0250135467980295*x36*x36 + 0.134618472906404*x36*x37 - 0.011226354679803
*x36*x38 - 0.0569145320197044*x36*x39 + 0.106003940886699*x36*x40 +
0.0986943349753692*x36*x41 + 0.00685714285714292*x36*x42 +
0.0105566502463053*x36*x43 - 0.060215763546798*x36*x44 - 0.196318472906404
*x36*x45 - 0.00168743842364534*x36*x46 + 0.000414532019704503*x36*x47 +
0.00350615763546795*x36*x48 - 0.0464475369458133*x36*x49 +
0.0348339901477831*x36*x50 + 0.143399014778324*x36*x51 + 1.40320418719212*
x37*x37 - 0.00399556650246277*x37*x38 - 0.507329064039406*x37*x39 +
0.25936502463054*x37*x40 + 0.24306724137931*x37*x41 + 0.0259142857142863*
x37*x42 - 0.235050985221674*x37*x43 - 0.104274384236454*x37*x44 -
1.29969408866995*x37*x45 - 0.0437248768472902*x37*x46 - 0.0453137931034482
*x37*x47 - 0.0321519704433495*x37*x48 - 0.850559359605912*x37*x49 -
0.0117605911330055*x37*x50 - 0.227166256157635*x37*x51 +
0.0777394088669951*x38*x38 + 0.0755896551724147*x38*x39 -
0.0570130541871926*x38*x40 - 0.0736022167487678*x38*x41 -
0.0214214285714286*x38*x42 - 0.00264926108374407*x38*x43 +
0.000302216748768954*x38*x44 + 0.117824137931034*x38*x45 -
0.0015795566502462*x38*x46 - 0.00178251231527092*x38*x47 +
0.0112086206896551*x38*x48 + 0.0872677339901476*x38*x49 +
0.0392561576354679*x38*x50 + 0.370787192118227*x38*x51 + 1.67503866995074*
x39*x39 - 0.734744581280785*x39*x40 + 0.827950246305419*x39*x41 -
0.112564285714285*x39*x42 - 0.338002463054187*x39*x43 - 0.213643103448276*
x39*x44 - 0.159356650246308*x39*x45 + 0.0324413793103446*x39*x46 -
0.0654059113300491*x39*x47 + 0.0238450738916257*x39*x48 +
0.738490886699506*x39*x49 + 0.117555665024631*x39*x50 + 0.756009359605911*
x39*x51 + 1.8209066502463*x40*x40 - 0.553489655172414*x40*x41 +
0.0468500000000005*x40*x42 + 0.42082512315271*x40*x43 + 0.663225369458127*
x40*x44 + 0.667270689655171*x40*x45 - 0.0121763546798032*x40*x46 +
0.00156600985221694*x40*x47 + 0.0102002463054187*x40*x48 +
0.733945812807881*x40*x49 + 0.176737931034483*x40*x50 - 0.55817118226601*
x40*x51 + 0.867384975369458*x41*x41 + 0.175964285714286*x41*x42 -
0.0246923645320204*x41*x43 + 0.122658620689656*x41*x44 - 0.17479581280788*
x41*x45 + 0.0150160098522168*x41*x46 + 0.0775568965517241*x41*x47 +
0.0121366995073892*x41*x48 + 0.801518965517242*x41*x49 - 0.086341133004926
*x41*x50 + 1.25700098522167*x41*x51 + 0.114242857142857*x42*x42 +
0.0899214285714286*x42*x43 - 0.0179714285714289*x42*x44 +
0.170014285714285*x42*x45 - 0.00516428571428569*x42*x46 +
0.0364642857142857*x42*x47 + 0.0165857142857143*x42*x48 +
0.0373785714285712*x42*x49 + 0.0289285714285715*x42*x50 -
0.00252857142857135*x42*x51 + 0.17984039408867*x43*x43 + 0.113928078817733
*x43*x44 + 0.589200985221674*x43*x45 + 0.00622561576354674*x43*x46 +
0.0407667487684728*x43*x47 + 0.000533004926108325*x43*x48 +
0.523417487684729*x43*x49 + 0.140504187192119*x43*x50 + 0.279654433497537*
x43*x51 + 1.05286354679803*x44*x44 + 1.74681009852217*x44*x45 +
0.0141697044334975*x44*x46 + 0.179943103448276*x44*x47 +
0.00889187192118233*x44*x48 + 2.08214532019705*x44*x49 + 0.30272684729064*
x44*x50 + 0.173399014778326*x44*x51 + 4.36525418719212*x45*x45 -
0.061789408866995*x45*x46 + 0.126242364532019*x45*x47 + 0.0296019704433498
*x45*x48 + 5.99794507389163*x45*x49 + 1.26011773399015*x45*x50 +
2.33832339901478*x45*x51 + 0.00812339901477831*x46*x46 -
0.00190566502463048*x46*x47 + 0.00337266009852217*x46*x48 -
0.0271137931034484*x46*x49 - 0.0228032019704434*x46*x50 -
0.0284987684729064*x46*x51 + 0.0271386699507389*x47*x47 +
0.0030549261083744*x47*x48 + 0.137637684729064*x47*x49 -
0.00237709359605918*x47*x50 + 0.0727120689655171*x47*x51 +
0.00914014778325123*x48*x48 + 0.00886354679802967*x48*x49 -
0.00431305418719215*x48*x50 + 0.0226802955665024*x48*x51 +
3.66250270935961*x49*x49 + 1.07562906403941*x49*x50 + 3.87285640394089*x49
*x51 + 0.397459113300492*x50*x50 + 0.745258374384238*x50*x51 +
2.79586157635468*x51*x51) + objvar =E= 0;
e2.. x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14
+ x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26
+ x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38
+ x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49 + x50
+ x51 =E= 1;
e3.. - 0.0517241379310345*x3 + 0.0558620689655172*x4 + 0.116551724137931*x5
- 0.0172413793103448*x7 - 0.0496551724137931*x8 - 0.0644827586206896*x9
+ 0.00862068965517241*x11 + 0.0689655172413793*x12
- 0.0172413793103448*x13 - 0.0948275862068965*x14
- 0.0475862068965517*x15 + 0.344827586206897*x16 + 0.0299999999999999*x17
+ 0.0131034482758622*x18 + 0.0562068965517241*x19
- 0.0644827586206897*x20 - 0.301724137931034*x21 - 0.241379310344828*x22
- 0.00206896551724138*x23 - 0.0258620689655172*x24
- 0.198275862068966*x25 - 0.0389655172413793*x26 + 0.0775862068965517*x27
- 0.206896551724138*x28 + 0.0562068965517242*x29 - 0.0775862068965517*x30
+ 0.0689655172413793*x31 - 1.04310344827586*x32 - 0.327586206896552*x33
- 0.0217241379310345*x34 - 0.155172413793103*x35 - 0.0172413793103448*x36
- 0.28448275862069*x37 + 0.0558620689655173*x38 + 0.163793103448276*x39
- 0.370689655172414*x40 + 0.0172413793103448*x41 - 0.03*x42
+ 0.0475862068965517*x43 - 0.517241379310345*x44 - 0.21551724137931*x45
+ 0.00655172413793105*x46 - 0.0537931034482758*x47
- 0.0148275862068966*x48 - 0.417931034482759*x49 - 0.103448275862069*x50
- 0.124827586206896*x51 =G= -0.100241379310345;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f