MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance btest14
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -61.34875560 (ANTIGONE) -61.58361168 (GUROBI) -59.81738781 (LINDO) -60.20587505 (SCIP) |
| Sourceⓘ | GAMS Software Client Models |
| Added to libraryⓘ | 31 Jul 2001 |
| Problem typeⓘ | NLP |
| #Variablesⓘ | 135 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 83 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 43 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 93 |
| #Linear Constraintsⓘ | 7 |
| #Quadratic Constraintsⓘ | 37 |
| #Polynomial Constraintsⓘ | 7 |
| #Signomial Constraintsⓘ | 19 |
| #General Nonlinear Constraintsⓘ | 23 |
| Operands in Gen. Nonlin. Functionsⓘ | exp |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 578 |
| #Nonlinear Nonzeros in Jacobianⓘ | 224 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 222 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 80 |
| #Blocks in Hessian of Lagrangianⓘ | 55 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 29 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.509091 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 4.0796e-08 |
| Maximal coefficientⓘ | 9.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 94 93 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 136 136 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 622 398 224 0
*
* Solve m using NLP minimizing objvar;
Variables x1,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,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,objvar;
Positive Variables x14,x22,x26,x37,x40,x134,x135;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94;
e1.. - 2*x1 + x89 =E= -1;
e2.. - 2*x2 + x90 =E= -1;
e3.. -(0.146204505730132*x6*x26 + 0.705667399054065*x26*x39 - 8.97564390530744*
x36*x36 - 0.58351985494149*x36*x40 - 0.314424400434*x44*x6 +
0.088432662779296*x44*x10 - 0.1724777937207*x44*x24 + 0.167817417463219*
x44*x36 - 0.8762574858969*x6 - 0.090926799404628*x10 - 0.088996490897*x24
- 0.83097375324915*x26 + 8.9318794963968*x36 - 1.2297184187103*x39 +
0.5275789087182*x40 + 0.453537188441*x44 + 2.034983334639e-7*POWER(256*x36
,3)) + x91 =E= 2.489997416546;
e4.. -(1.1518006868352*x6*x6 + 0.459536604012759*x6*x7 - 0.703663799755776*x6*
x36 + 1.04544221512617*x6*x39 + 0.212447402269932*x9*x36 -
0.93571348845105*x36*x39 - 0.535946180536538*x37*x38 - 1.05145338638997*
x37*x40 - 0.79070109549399*x38*x40 + 2.2331399965065*x39*x39 +
0.72226979421516*x39*x40 - 2.1649445039853*x40*x40 - 0.2967513786156*x44*
x6 + 0.290069094680064*x44*x36 - 0.46832829863166*x44*x39 - 3.243885134673
*x6 - 0.608025879748004*x7 - 0.21903943136112*x9 + 1.54031920069709*x36 +
1.20435810433248*x37 + 0.95109544168785*x38 - 5.0961041726562*x39 +
4.978918124709*x40 + 0.5990178719411*x44) + x92 =E= 4.430231606651;
e5.. -(0.924257360399966*x6*x7 - 0.516801085443*x6*x16 + 0.5058897687399*x6*x23
+ 0.498288404219416*x7*x27 - 1.52884826438741*x7*x39 + 0.779302840822875*
x17*x17 - 0.347767311861888*x17*x36 + 1.03052751208398*x27*x27 -
6.76173213154017*x36*x36 - 0.99245267967744*x36*x40 + 1.42052814693324*x39
*x40 - 0.2345867913546*x44*x6 - 0.21856106576205*x44*x17 -
0.307219734072832*x44*x36 - 0.62014313139408*x44*x39 + 0.3378608139888*x44
*x40 - 1.37026508147115*x6 - 0.192769958876914*x7 + 0.4523018932502*x16 -
0.834815523597*x17 - 0.4977753155234*x23 - 1.7323844004168*x27 +
7.31809575076608*x36 - 1.5847739199432*x39 - 0.04410976168002*x40 +
0.5355994282979*x44 + 1.700285097355e-7*POWER(256*x36,3))
- 0.30336178647804*x8 + 0.13491263371388*x11 + 0.13984651156632*x15 + x93
=E= 3.734961589817;
e6.. -(1.01315140568842*x6*x6 + 0.584229793231586*x6*x7 - 0.575893814169216*x6*
x36 + 1.29734698607195*x6*x39 - 0.489631561160448*x14*x14 +
0.321893053794731*x17*x17 - 0.374957681257155*x22*x38 - 2.68128652916621*
x36*x36 - 0.264865746725574*x36*x38 - 0.757051242708326*x36*x39 -
0.331379999280999*x36*x40 - 0.319790798054753*x37*x37 - 0.410866320029286*
x37*x38 - 1.02510136513693*x37*x40 - 0.63325821649452*x38*x40 +
73.8944534307042*x39*x39 + 0.71637024087909*x39*x40 - 4.0652394277797*x40*
x40 - 0.25812742422195*x44*x6 + 0.275101343701504*x44*x36 -
0.51060461587515*x44*x39 + 0.14993458828602*x44*x40 - 3.3364541114835*x6
- 0.76978121536809*x7 + 0.50760066311088*x14 - 0.2371573878732*x17 +
0.33094891766296*x22 + 2.60318233052672*x36 + 1.40873861917749*x37 +
1.03682105539925*x38 - 61.955843837112*x39 + 5.692496094027*x40 +
0.5633456996915*x44 + 1.126995885892e-7*POWER(256*x36,3) -
4.07963707148e-8*POWER(900*x39,3) + 4.963051932898e-5*POWER(30*x40,3))
+ x94 =E= 18.97863147768;
e7.. -(0.000877757522268323*x26*x26 - 0.00061498887155568*x9*x9 +
0.00066010416739608*x9 - 0.00090378018509135*x26) - 0.000347455006539*x6
- 0.000313469000455109*x7 + 0.00019696459311036*x8
- 0.00022497857292636*x10 - 0.00025315348259632*x14
- 0.00013041066279416*x15 + 0.00024819009759999*x27
+ 0.001116360829524*x33 + 0.0001275409670291*x44 + x95
=E= 0.001196513506352;
e8.. -(-0.000747600224572512*x9*x9 - 0.00084090176373599*x10*x10 +
0.00083432738305548*x9 + 0.00108407522425928*x10) - 0.00029817479082767*x3
- 0.0004929533924013*x6 - 0.00038337969203288*x14
+ 0.00025718969999658*x27 + 0.0010596884812*x33 + 0.0002193632982754*x44
+ x96 =E= 0.0009313697550609;
e9.. -(0.02677551623072*x22*x22 + 0.2381548479827*x33*x33 - 0.037884583757344*
x22 - 0.4120111930931*x33) - 0.031961057677815*x6 - 0.0072793562241202*x10
+ 0.01092104558418*x16 + 0.0064621644987614*x27 + 0.009126798073713*x44
+ x97 =E= 0.2345164830694;
e10.. -(0.2359222697694*x33*x33 - 0.4122179688784*x33) - 0.019235478568509*x5
- 0.03859622678868*x6 - 0.013536316848152*x15 - 0.007969909522014*x18
+ 0.012482973130678*x20 + 0.01211628347112*x22 + 0.01237028609597*x44
+ 0.006633342891298*x45 + x98 =E= 0.2148158150597;
e11.. -(-0.178150195029045*x4*x4 - 0.092889494283825*x6*x6 - 0.07963734288619*
x16*x16 + 0.2364786764668*x33*x33 + 0.289121241556475*x4 +
0.146594028553065*x6 + 0.06949823547088*x16 - 0.396098589751*x33)
+ 0.012318868970748*x8 - 0.011589448462056*x15 - 0.019705859822109*x18
+ 0.014895944768832*x19 + 0.010907241296472*x20 + 0.01430448527648*x22
+ 0.01347700652316*x24 + 0.013997880931151*x27 - 0.020306863604082*x29
+ 0.008933395804681*x44 + 0.01027464857304*x45 + x99 =E= 0.1159960764571
;
e12.. -(0.06403297573616*x33*x33 - 0.113478971396*x33) - 0.010958364678063*x6
+ 0.002722432896123*x17 + 0.00357907160041*x20 + 0.0045963326850304*x22
+ 0.002664625719444*x44 + 0.002317642999308*x45 + x100
=E= 0.06274066767188;
e13.. -(0.05389595937138*x33*x33 - 0.1008769684169*x33) - 0.0108026855268645*x6
- 0.002530205084104*x15 + 0.002298727308428*x44 + 0.001611267597143*x45
+ x101 =E= 0.05729679836434;
e14.. -(0.04180936698794*x33*x33 - 0.08464574484787*x33) - 0.012847503442122*x6
- 0.00555629682704112*x7 + 0.002569050765369*x44 + 0.001544051903693*x45
+ x102 =E= 0.05299695174132;
e15.. -(0.04322480730842*x33*x33 - 0.0142403847874304*x14*x14 +
0.022161568311704*x14 - 0.08541248247495*x33) - 0.009751816013685*x6
- 0.0038301910280744*x15 + 0.0039623300029984*x22 + 0.00288629999987*x44
+ 0.001896550235215*x45 + x103 =E= 0.05344341996323;
e16.. -(0.03938585789447*x33*x33 - 0.07783882163504*x33) - 0.008957990536224*x6
- 0.0068973850419912*x14 - 0.0043002751360336*x15
+ 0.0051707953799152*x22 + 0.003488811009217*x44 + 0.002727617282737*x45
+ x104 =E= 0.05663839812388;
e17.. -(0.03633839567711*x33*x33 - 0.0165472389477056*x14*x14 +
0.02805076307704*x14 - 0.07018576739435*x33) - 0.007043125736955*x6
- 0.005251407553668*x15 + 0.0060124740152832*x22 + 0.004173716984069*x44
+ 0.003013403772536*x45 + x105 =E= 0.05230125501392;
e18.. -(0.000866890148317795*x26*x26 - 0.000626529111379056*x9*x9 -
0.00195249736065544*x28*x28 + 0.00069162716437968*x9 -
0.00091245945394415*x26 + 0.00279100265724*x28) - 0.000320041885281*x6
- 0.000248676460207666*x7 + 0.00023309691579768*x8
- 0.00017337773128566*x10 - 0.00028467210046624*x14
- 0.0001531298978348*x15 + 0.00020203617888272*x27
+ 0.001027231449602*x33 + 9.769148390847E-5*x44 + x106
=E= 0.000342354325588;
e19.. -(0.0055419204862038*x5*x5 - 0.0010519425401423*x9*x9 -
0.00151958851524139*x10*x10 - 0.00065583539010944*x14*x14 -
0.00163765881202725*x28*x28 - 0.00895800515228388*x5 + 0.0011138728419714
*x9 + 0.0018872680298406*x10 + 0.00116990556924*x14 + 0.00286810998159375
*x28) - 0.000392905104879715*x3 - 0.000399019591698*x6
- 0.0002297900760144*x15 + 7.3343733352155E-5*x17
- 0.00012676532149554*x18 + 0.00023736531595725*x27
- 0.000206899237966524*x32 + 0.0009281636574725*x33
+ 0.0002182806725429*x44 + x107 =E= 0.002826473114451;
e20.. -(0.065962070493184*x22*x22 - 0.06109295869864*x23*x23 + 0.2021019615233*
x33*x33 - 0.08874513272304*x22 + 0.07108040657768*x23 - 0.3988964831796*
x33) - 0.0206628895890994*x3 + 0.024581660668776*x8
- 0.021719103140136*x14 - 0.0156190148312*x15 - 0.016184653341774*x32
+ x108 =E= 0.2525545368977;
e21.. -(0.1713342295281*x33*x33 - 0.352226862905*x33) - 0.0463998607783956*x5
+ 0.029638733477916*x8 - 0.023003613233392*x15 + 0.013591316240016*x22
+ 0.01489807719952*x31 + x109 =E= 0.2436469959178;
e22.. -(0.0607441386158437*x13*x13 + 0.111082440136188*x29*x29 +
0.04040930136988*x33*x33 - 0.07427964848739*x13 - 0.16616765354035*x29 -
0.07457786388422*x33) - 0.0131448718955445*x4 + 0.0059061635894327*x10
+ 0.0051756398176197*x11 + 0.009117275987079*x16 - 0.005800080529377*x18
+ 0.01481680095629*x31 - 0.005718654623351*x44 + x110
=E= 0.1406054385457;
e23.. -(-4.51340226295762*x13*x13 - 9.85654788959654*x29*x29 + 5.62252413532575
*x13 + 14.513221564424*x29) - 0.9869215570718*x16 + 0.6661787943843*x18
- 0.6404040990278*x23 - 1.079427076373*x31 - 2.05983227192*x33
+ 0.4619177163699*x44 + x111 =E= -5.008912102507;
e24.. -(2.05176199738702*x26*x26 - 5.80233284755312*x13*x13 + 6.927154336077*
x13 - 2.3469955287709*x26) + 1.04873630802673*x7 + 0.7238304849542*x20
- 2.264220310618*x33 + 0.440846180839*x44 + x112 =E= 1.568419934885;
e25.. -(2.2229402955924*x20*x20 - 3.123147197822*x33*x33 - 3.216849220312*x20
+ 5.015640143376*x33) - 0.870461072305099*x3 + 0.6544461836478*x6
+ 1.37276984413223*x7 - 0.5362412566068*x9 + 0.669465409586*x21
+ 0.5779478175228*x44 + x113 =E= 2.57284621061;
e26.. -(3.0584023399228*x20*x20 - 9.28512444829398*x29*x29 - 4.118466877288*x20
+ 13.901568527165*x29) + 0.913128381036404*x7 - 0.61433088833544*x9
+ 0.854366690143*x21 - 0.6710640137256*x23 - 1.374008381931*x33
+ 0.6403473353191*x44 + x114 =E= -1.859560646134;
e27.. -(2.437839571323*x16*x16 - 5.12326210692038*x13*x13 + 2.20551258145*x20*
x20 + 2.8274344590636*x21*x21 - 10.3486086088051*x29*x29 +
5.9922537839595*x13 - 2.345044734494*x16 - 3.428833437316*x20 -
3.733366776722*x21 + 15.832261662965*x29) - 0.928457422833888*x3
+ 1.48219405584735*x4 + 2.35175646180925*x7 + 0.8362854866264*x14
- 0.7127894505155*x31 - 1.689978798214*x33 + 0.6479493800563*x44 + x115
=E= -0.8108747083381;
e28.. -(0.441352793900588*x13*x13 - 0.7946434459442*x16*x16 + 1.31912696395799*
x29*x29 + 0.6402416340876*x33*x33 - 0.546296066946075*x13 +
0.8291869547057*x16 - 2.0116719018759*x29 - 0.8843954656283*x33)
+ 0.146564485777733*x3 - 0.162203474614175*x4 - 0.13647394724094*x6
- 0.261741118787855*x7 + 0.1293399004067*x23 + 0.1853723670269*x31
- 0.08753209556268*x44 - 0.03412217150477*x45 + x116 =E= 1.187807867385;
e29.. -(2.012524878396*x21*x21 + 2.412453381554*x25*x25 - 2.32428512025645*x27*
x27 - 7.03113389594902*x29*x29 - 3.70031577746*x33*x33 - 2.859456595874*
x21 - 2.142525377594*x25 + 2.4525202372957*x27 + 9.9278802923102*x29 +
5.712547052553*x33) + 1.31302648868395*x4 + 0.8241481693188*x6
+ 0.44158825258273*x10 + 0.713991181117725*x12 + 0.9259368554952*x14
+ 0.60309494742105*x17 - 0.8201286351*x22 - 0.7254172512704*x23
- 0.4356367040951*x30 - 0.8328403016813*x31 + 0.5475854253854*x44 + x117
=E= -0.8586779950976;
e30.. -(2.52870602627587*x12*x12 - 1.44488151194832*x8*x8 - 3.064858767713*x33*
x33 + 2.1446919075276*x8 - 3.4181367227865*x12 + 5.151361151014*x33)
+ 0.45222953327025*x6 + 0.56320147202748*x10 + 0.495001877235*x21
+ 0.23915860198191*x27 - 0.776473583038*x31 - 0.466443977876546*x32
- 0.5773844387808*x34 + 0.1660237424941*x44 + x118 =E= 1.954721142275;
e31.. -(0.004602507134156*x33 - 0.02141764516469*x33*x33)
- 0.0145245595273845*x6 - 0.00782352930931531*x7 - 0.002806749788812*x21
- 0.003246482303008*x22 + x119 =E= 0.05431618656739;
e32.. -(3.696964891409*x33 - 2.346067374841*x33*x33) + 1.10810932910463*x4
+ 1.17265063626849*x7 + 0.72425758716146*x10 + 0.48512259390825*x17
+ 0.6187862322855*x19 + 0.8407266410546*x20 + 1.2902877646004*x21
- 0.48414279711584*x22 - 0.51323515009286*x27 - 1.073333080849*x31
+ 0.8296257845547*x44 + x120 =E= 3.410131517262;
e33.. -(7.4210835482746*x7*x7 - 2.71404090839664*x8*x8 + 4.0712906419605*x12*
x12 - 7.8354430014069*x34*x34 - 9.75241218397524*x7 + 3.8388775619052*x8
- 5.62029106297575*x12 + 13.434870720522*x34) + 0.89497203808854*x4
+ 0.395604637251*x19 + 0.3846775677674*x21 - 0.5260826151462*x31
- 1.04331793976*x33 + 1.44840541594905*x35 + 0.7696996685075*x44
+ 0.3040154336275*x45 + x121 =E= 2.246888278023;
e34.. -(2.20721740066069*x12*x12 - 1.17955738642944*x22*x22 - 2.871389544981*
x12 + 1.407254403988*x22) + 0.47300750978745*x6 - 0.27890466245208*x9
- 0.3053273238626*x16 + 0.29607494021247*x18 - 0.1877993221909*x31
- 1.213046478988*x33 - 0.988254012339*x34 + 0.483364984653395*x35 + x122
=E= 1.538908572291;
e35.. -(0.254666472284981*x13*x13 + 0.2487290499716*x16*x16 - 0.2424174928804*
x20*x20 + 0.1318746470705*x24*x24 - 0.1034478212448*x30*x30 +
0.47492121764214*x34*x34 - 0.275271550312275*x13 - 0.2880413530398*x16 +
0.3241903766252*x20 - 0.1544320072727*x24 + 0.138230853585*x30 -
0.7311202769286*x34) - 0.0697930476351375*x4 - 0.05844457632774*x19
- 0.05923560271958*x21 + 0.03216926433432*x23 + 0.046123763012054*x27
+ 0.03948386025441*x31 + 0.09999328446995*x33 - 0.07155146332687*x44
- 0.02890389647334*x45 + x123 =E= 0.4907393748262;
e36.. -(3.10158892624894*x12*x12 + 1.378326274479*x18*x18 + 1.1295431220051*x19
*x19 - 2.1412542007376*x23*x23 - 2.845736078*x24*x24 - 4.202007699288*x12
- 1.4654803894614*x18 - 1.3134759733212*x19 + 2.789062219906*x23 +
3.192718074293*x24) + 0.2995601543844*x6 - 0.35555306879868*x9
- 0.2849904232198*x16 + 0.475090840207725*x17 - 0.53582278211024*x22
- 0.3113826676592*x25 - 0.2500700591045*x30 + 0.454110476583938*x32
- 0.3685212344352*x33 - 2.8058328956613*x34 + 0.8375950252358*x35
+ 0.3476255248733*x44 + x124 =E= 0.3283197681486;
e37.. -(6.0135388585155*x6*x41 + 1.8427678171815*x6*x44 - 8.2907749152864*x8*
x42 - 6.10052398582095*x26*x41 + 98.400043682829*x41*x41 -
13.5448878202668*x41*x42 + 20.337967231908*x42*x43 - 3.7532696750852*x42*
x44 - 177.77367353908*x43*x43 - 6.2961006175185*x6 + 3.6075659325504*x8
+ 5.131686761061*x26 - 85.313410601661*x41 + 20.436612334108*x42 +
104.302969683388*x43 + 0.4480892162516*x44 - 5.258883176124e-5*POWER(90*
x41,3) + 5.563323179074*POWER(2.47*x43,3)) - 2.2668719064*x28 + x125
=E= 18.79612039807;
e38.. -(0.946239422730413*x6*x28 - 0.967532556792937*x6*x17 + 2.0377657366389*
x6*x41 + 1.4110895489508*x8*x17 + 0.61127794185408*x8*x19 -
1.58201747510544*x8*x41 - 1.03210080362448*x8*x42 + 0.69266106046572*x8*
x44 - 1.02101992381294*x12*x17 - 1.56130595897794*x12*x28 +
0.657753094014278*x17*x41 - 0.522517930157925*x17*x44 + 13.941054801684*
x18*x18 - 0.952776586823565*x18*x26 + 0.8549649392358*x18*x42 +
1.4516462940588*x18*x44 + 1.02122227903944*x19*x42 + 1.36049338559624*x26
*x42 - 0.52401838627495*x26*x44 + 1.12942426510437*x28*x5 -
1.80547120935698*x28*x18 - 1.773044696829*x28*x24 - 3.032054834331*x28*
x42 + 1.06107736116569*x41*x5 + 2.89590750250133*x41*x43 +
2.61542042432642*x42*x43 - 23.5616803328772*x43*x43 - 2.0519667342662*x5
- 2.4366254226975*x6 + 1.3099632256788*x8 + 1.06846969893075*x12 -
0.2333387493336*x17 - 7.942979902344*x18 - 1.6180772270883*x19 +
0.9774548522739*x24 - 1.3151238840131*x26 + 2.70135417986175*x28 -
3.8284629157413*x41 + 3.0703651482588*x42 + 11.205474702516*x43 +
0.9543995667815*x44 - 0.2743250443488*POWER(3*x18,3) + 0.7899555131314*
POWER(2.47*x43,3)) - 0.593729458274822*x3 + 0.5753833582646*x25 + x126
=E= 4.163033048096;
e39.. -(1.3231924827408*x8*x13 + 0.950512779873*x8*x17 + 0.79652767163004*x8*
x44 - 1.1255865881733*x9*x17 - 1.1334971491002*x9*x41 + 0.31814476764264*
x9*x44 - 2.328562461724*x16*x21 + 1.65630428848115*x16*x26 -
2.1715168823968*x16*x42 + 1.18051442119463*x17*x17 - 1.06098360401194*x17
*x43 - 0.527277463438125*x17*x44 + 3.2673855449184*x21*x21 -
1.2872308497167*x21*x26 + 1.9614697952626*x26*x42 + 1.70003902637808*x41*
x42 + 1.92200947348838*x41*x43 + 0.70699695487659*x41*x44 +
3.74715327861987*x42*x43 - 13.9848784783649*x43*x43 - 0.37563657431844*x8
+ 1.6750730697144*x9 - 0.480295324142175*x13 + 1.995605336459*x16 -
1.1004913101105*x17 - 1.4049566052296*x21 - 3.1302346760804*x26 -
2.7216835711083*x41 + 0.575756194718*x42 + 5.53854006359342*x43 -
1.145306359438*x44 + 0.4882868002799*POWER(2.47*x43,3))
+ 0.80605451182485*x6 + 0.5490798506342*x24 + x127 =E= 5.950777856002;
e40.. -(1.09477736076672*x6*x9 - 1.19701441777742*x7*x17 - 0.660436333830037*x7
*x44 - 1.03772551896051*x8*x43 + 0.51395319677976*x8*x44 -
1.2063846423006*x9*x41 + 0.35520454459644*x9*x44 + 0.92897177812705*x16*
x26 - 0.767266901285547*x16*x43 - 1.781425950621*x17*x20 +
0.75316209611895*x17*x41 - 0.539364164945475*x17*x44 + 3.1396557317196*
x20*x20 + 3.2126735072216*x20*x42 - 1.021962146889*x24*x24 -
0.3871977491802*x26*x44 - 1.26559259235162*x27*x41 + 4.31671968515888*x41
*x43 + 0.64112663061018*x41*x44 + 2.92006392641922*x42*x43 -
24.1545595925436*x43*x43 - 1.1822502145974*x6 + 1.18515750699388*x7 +
0.99252135738264*x8 + 0.29230939922184*x9 + 0.3714976357546*x16 +
0.6224630360847*x17 - 4.291084910528*x20 + 0.6456518197839*x24 -
1.2053270347517*x26 + 0.35790325431822*x27 - 3.3461143774236*x41 +
0.085744010768*x42 + 12.7848117634591*x43 - 0.3824106787946*x44 +
0.7793667888691*POWER(2.47*x43,3)) + x128 =E= 4.95036598605;
e41.. -(2.64481110629634*x3*x3 + 1.636116654751*x31*x31 - 1.55382921749179*x32*
x32 - 3.338848561796*x33*x33 - 3.85256341550016*x3 - 0.5482976381186*x31
- 1.64366049296014*x32 + 4.787431857037*x33) + 0.641614705487735*x4
+ 0.4087654042209*x6 - 0.83213470844175*x13 + 1.1466889692096*x14
+ 0.5201481859558*x21 - 0.99316365224*x22 + 0.4151737460437*x26
+ 0.9752967329527*x30 + 1.3619969443977*x35 + x129 =E= 4.685447860117;
e42.. -(5.635409280889*x33 - 3.727954504013*x33*x33) + 0.8488710001668*x6
+ 0.4128450047876*x21 - 0.64241070203064*x22 - 1.138588140013*x31
+ 2.65871418189*x35 + 0.1938709266552*x44 + x130 =E= 3.542710619493;
e43.. -(8.28122856829613*x35*x35 - 4.140302247426*x33*x33 + 6.281845031028*x33
- 13.2034273414095*x35) + 0.7014443550387*x6 + 0.4159193713104*x21
- 0.63141473199112*x22 - 1.208283613543*x31 + 0.3741448269018*x44 + x131
=E= 6.072136747548;
e44.. -(4.49450165707369*x12*x12 - 2.48892883746752*x14*x14 - 5.0770402324334*
x29*x29 - 2.580491441703*x33*x33 + 7.36202857113327*x35*x35 -
6.0234600078495*x12 + 2.332467032256*x14 + 7.8349175077943*x29 +
4.419521320705*x33 - 11.2402391136165*x35) + 0.5366782892356*x21
- 0.5852219832224*x22 - 1.304747524462*x31 - 0.8458729509999*x34
+ 0.5543037593823*x44 + x132 =E= 3.239826231838;
e45.. -(1.23586154110469*x9*x9 + 4.16219587239656*x12*x12 - 2.93149368681356*
x13*x13 - 2.15209624078528*x14*x14 - 2.16706321150423*x27*x27 -
5.88278382747979*x29*x29 - 1.881960621575*x33*x33 - 1.3687450836792*x9 -
6.09597502737525*x12 + 3.95175095975025*x13 + 1.6211865860016*x14 +
2.0744644072113*x27 + 8.8780836448513*x29 + 3.56487836434*x33)
+ 1.32343837940235*x4 + 0.66568364586315*x6 + 0.7028681064192*x21
- 0.60866824860024*x22 - 1.477905357691*x31 + 1.5719415324821*x35
+ 0.7005443172593*x44 + 0.2617571526679*x45 + x133 =E= 1.924423629775;
e46.. x44 - x89 =E= 0;
e47.. x45 - x90 =E= 0;
e48.. -exp(x91) + x46 =E= 0;
e49.. -exp(x92) + x47 =E= 0;
e50.. -exp(x93) + x48 =E= 0;
e51.. -exp(x94) + x49 =E= 0;
e52.. -1/x95 + x50 =E= 0;
e53.. -1/x96 + x51 =E= 0;
e54.. -1/sqr(x97) + x52 =E= 0;
e55.. -1/sqr(x98) + x53 =E= 0;
e56.. -1/x99 + x54 =E= 0;
e57.. -1/x100 + x55 =E= 0;
e58.. -1/x101 + x56 =E= 0;
e59.. -1/x102 + x57 =E= 0;
e60.. -1/x103 + x58 =E= 0;
e61.. -1/x104 + x59 =E= 0;
e62.. -1/x105 + x60 =E= 0;
e63.. -1/x106 + x61 =E= 0;
e64.. -1/x107 + x62 =E= 0;
e65.. -1/sqr(x108) + x63 =E= 0;
e66.. -1/sqr(x109) + x64 =E= 0;
e67.. -1/x110 + x65 =E= 0;
e68.. -exp(x111) + x66 =E= 0;
e69.. -exp(x112) + x67 =E= 0;
e70.. -exp(x113) + x68 =E= 0;
e71.. -exp(x114) + x69 =E= 0;
e72.. -exp(x115) + x70 =E= 0;
e73.. -1/sqr(x116) + x71 =E= 0;
e74.. -exp(x117) + x72 =E= 0;
e75.. -exp(x118) + x73 =E= 0;
e76.. -1/x119 + x74 =E= 0;
e77.. -exp(x120) + x75 =E= 0;
e78.. -exp(x121) + x76 =E= 0;
e79.. -exp(x122) + x77 =E= 0;
e80.. -1/x123 + x78 =E= 0;
e81.. -exp(x124) + x79 =E= 0;
e82.. -sqr(x125) + x80 =E= 0;
e83.. -exp(x126) + x81 =E= 0;
e84.. -exp(x127) + x82 =E= 0;
e85.. -exp(x128) + x83 =E= 0;
e86.. -exp(x129) + x84 =E= 0;
e87.. -exp(x130) + x85 =E= 0;
e88.. -exp(x131) + x86 =E= 0;
e89.. -exp(x132) + x87 =E= 0;
e90.. -exp(x133) + x88 =E= 0;
e91.. x1 - x134 =E= 0;
e92.. x2 - x135 =E= 0;
e93.. - 0.00277058963688652*x46 - 0.00193837893369775*x47
- 0.00220047178114988*x48 - 0.00180514212786544*x49
- 5.19262105700267E-5*x50 - 4.41651830845582E-5*x51
- 0.00138597026650268*x52 - 0.000854469636677801*x53
- 0.000673659295060009*x54 - 0.000773222141927398*x55
- 0.000796808114183878*x56 - 0.00108341997984622*x57
- 0.00103738281594038*x58 - 0.0011586251707379*x59
- 0.00105806546907058*x60 - 5.67747426883499E-5*x61
- 4.74857483397795E-5*x62 - 0.00111997985828223*x63
- 0.000780409535511951*x64 - 0.000825031318188839*x65
- 0.000277553576166808*x66 - 0.000275387748704053*x67
- 0.000628802526075812*x68 - 0.000527790965221478*x69
- 8.53443313273134E-5*x70 - 5.4578415174783E-5*x71
- 0.00569784628817507*x72 - 0.00555511546696356*x73
- 0.075561801997854*x74 - 0.00294835032723151*x75
- 0.0019342371365832*x76 - 0.0252206173502715*x77
- 0.0279391730675312*x78 - 0.0048665762424357*x79
- 0.000183752966921342*x80 - 7.84812312135553E-5*x81
- 7.73269615916982E-5*x82 - 8.2567519589144E-5*x83
- 0.00479455338735197*x84 - 0.000826919880559692*x85
- 0.000290693364720465*x86 - 0.00043605075805244*x87
- 0.000879089966067127*x88 - objvar =E= -1.46100504790011;
e94.. 8*x14 - 3*x18 - 3*x19 =G= 0;
* set non-default bounds
x3.lo = 0.769605263157895; x3.up = 1;
x4.lo = 0.995217391304348; x4.up = 1;
x5.lo = 0.995555555555556; x5.up = 1;
x6.lo = 0.992666666666667; x6.up = 1;
x7.lo = 0.993721719457014; x7.up = 1;
x8.lo = 0.166666666666667; x8.up = 1;
x9.lo = 0.829898754450936; x9.up = 1;
x10.lo = 0.990909090909091; x10.up = 1;
x11.lo = 0.0909090909090909; x11.up = 1;
x12.lo = 0.558008742888922; x12.up = 1;
x13.lo = 0.24; x13.up = 1;
x14.up = 1;
x15.lo = 0.99; x15.up = 1;
x16.lo = 0.195259734937315; x16.up = 1;
x17.lo = 0.99; x17.up = 1;
x18.lo = 0.99; x18.up = 1;
x19.lo = 0.99; x19.up = 1;
x20.lo = 0.799456530248838; x20.up = 1;
x21.lo = 0.99; x21.up = 1;
x22.up = 1;
x23.lo = 0.154691754638671; x23.up = 1;
x24.lo = 0.1; x24.up = 1;
x25.lo = 0.1; x25.up = 1;
x26.up = 1;
x27.lo = 0.990153846153846; x27.up = 1;
x28.lo = 0.466666666666667; x28.up = 1;
x29.lo = 0.454545454545455; x29.up = 1;
x30.lo = 0.99005; x30.up = 1;
x31.lo = 0.03; x31.up = 1;
x32.lo = -0.0790697674418604; x32.up = -0.0697674418604651;
x33.lo = 0.1; x33.up = 1;
x34.lo = 0.5; x34.up = 1;
x35.lo = 0.947739811219519; x35.up = 1;
x36.lo = 0.06015625; x36.up = 1;
x37.up = 1;
x38.lo = 0.99; x38.up = 1;
x39.lo = 0.996111111111111; x39.up = 1;
x40.up = 1;
x41.lo = 0.991111111111111; x41.up = 1;
x42.lo = 0.325; x42.up = 1;
x43.lo = 0.121457489878542; x43.up = 1;
x95.lo = 0.001;
x96.lo = 0.001;
x97.lo = 0.001;
x98.lo = 0.001;
x99.lo = 0.001;
x100.lo = 0.001;
x101.lo = 0.001;
x102.lo = 0.001;
x103.lo = 0.001;
x104.lo = 0.001;
x105.lo = 0.001;
x106.lo = 0.001;
x107.lo = 0.001;
x108.lo = 0.001;
x109.lo = 0.001;
x110.lo = 0.001;
x116.lo = 0.001;
x119.lo = 0.001;
x123.lo = 0.001;
x125.lo = 0.001;
x134.up = 1;
x135.up = 1;
* set non-default levels
x2.l = 1;
x7.l = 1;
x8.l = 0.609477392422885;
x9.l = 1;
x11.l = 0.75704303034117;
x12.l = 1;
x13.l = 0.620380485461038;
x14.l = 0.7425;
x16.l = 1;
x20.l = 1;
x22.l = 0.82722772047243;
x23.l = 1;
x24.l = 0.454439898473329;
x25.l = 1;
x26.l = 0.962110681567005;
x28.l = 1;
x29.l = 0.739627645250665;
x30.l = 1;
x31.l = 1;
x33.l = 1;
x34.l = 1;
x36.l = 1;
x40.l = 1;
x42.l = 1;
x43.l = 1;
x44.l = -1;
x45.l = 1;
x46.l = 26.4979299926163;
x47.l = 46.2412972809146;
x48.l = 35.0058586276389;
x49.l = 48.1108759451632;
x50.l = 972.417172849226;
x51.l = 850.971904032363;
x52.l = 162.731354097068;
x53.l = 98.996614722071;
x54.l = 10.9657631196244;
x55.l = 69.2369063745458;
x56.l = 41.268395873387;
x57.l = 33.9038699315052;
x58.l = 32.2122519448854;
x59.l = 30.3581513052414;
x60.l = 25.9497772261976;
x61.l = 1000;
x62.l = 626.515389156456;
x63.l = 211.859237363438;
x64.l = 130.563745077337;
x65.l = 1000;
x66.l = 775.463290420516;
x67.l = 67.1141014135916;
x68.l = 13.0703096228338;
x69.l = 45.7750821130056;
x70.l = 69.8013678011098;
x71.l = 68.7410092326304;
x72.l = 17.6407470715443;
x73.l = 39.3054946452578;
x74.l = 15.3358035549739;
x75.l = 3.9296524789746;
x76.l = 73.4594298739173;
x77.l = 19.7717275861156;
x78.l = 8.19148713473384;
x79.l = 59.5799324356918;
x80.l = 958.823093506976;
x81.l = 3.11046968904601;
x82.l = 867.663123649993;
x83.l = 9015.22493475262;
x84.l = 9.07228738195361;
x85.l = 34.5674547737145;
x86.l = 62.5049603369898;
x87.l = 255.87261501992;
x88.l = 82.7387357279696;
x89.l = -1;
x90.l = 1;
x91.l = 3.27706661645498;
x92.l = 3.83387327935368;
x93.l = 3.55551543684249;
x94.l = 3.8735082626785;
x95.l = 0.00102836522011441;
x96.l = 0.00117512692870525;
x97.l = 0.0783906708173649;
x98.l = 0.100505499919625;
x99.l = 0.0911929237473551;
x100.l = 0.0144431640921241;
x101.l = 0.0242316178963688;
x102.l = 0.0294951579869869;
x103.l = 0.031044088494985;
x104.l = 0.0329400822186101;
x105.l = 0.0385359762930879;
x107.l = 0.00159612998708046;
x108.l = 0.0687030943199246;
x109.l = 0.0875162500710887;
x111.l = 6.65346064483662;
x112.l = 4.20639417709323;
x113.l = 2.57034321693739;
x114.l = 3.82373988439852;
x115.l = 4.24565360558077;
x116.l = 0.120612424621861;
x117.l = 2.87021140067644;
x118.l = 3.67136432195874;
x119.l = 0.0652068863829224;
x120.l = 1.36855099422937;
x121.l = 4.29673327932026;
x122.l = 2.98425301758911;
x123.l = 0.122077955266603;
x124.l = 4.08731881327462;
x125.l = 30.9648686983648;
x126.l = 1.13477374020468;
x127.l = 6.76580353293355;
x128.l = 9.10667008649116;
x129.l = 2.2052244243886;
x130.l = 3.54291262593276;
x131.l = 4.13524591898493;
x132.l = 5.54467972305837;
x133.l = 4.41568788085814;
objvar.l = -4.92849561648889;
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: 2025-08-07 Git hash: e62cedfc