MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance water3
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 895.35889780 (LINDO) 408.34291370 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Brooke, Anthony, Drud, Arne S, and Meeraus, Alexander, Modeling Systems and Nonlinear Programming in a Research Environment. In Ragavan, R and Rohde, S M, Eds, Computers in Engineering, Vol. III, ACME, 1985. Drud, Arne S and Rosenborg, A, Dimensioning Water Distribution Networks, Masters thesis, Institute of Mathematical Statistics and Operations Research, Technical University of Denmark, 1973. In Danish. |
| Sourceⓘ | modified GAMS Model Library model waterx |
| Applicationⓘ | Water Network Design |
| Added to libraryⓘ | 01 May 2001 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 195 |
| #Binary Variablesⓘ | 28 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 46 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 3 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 137 |
| #Linear Constraintsⓘ | 122 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 14 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 753 |
| #Nonlinear Nonzeros in Jacobianⓘ | 46 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 116 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 28 |
| #Blocks in Hessian of Lagrangianⓘ | 16 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 3 |
| Average blocksize in Hessian of Lagrangianⓘ | 2.875 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 14 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.3750e-02 |
| Maximal coefficientⓘ | 6.3468e+04 |
| Infeasibility of initial pointⓘ | 9717 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 138 54 14 70 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 196 70 28 0 98 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 757 711 46 0
*
* Solve m using MINLP minimizing objvar;
Sets s1 /99*105/,s2 /106*112/,s3 /113*119/,s4 /120*126/,s5 /127*133/
,s6 /134*140/,s7 /141*147/,s8 /148*154/,s9 /155*161/,s10 /162*168/
,s11 /169*175/,s12 /176*182/,s13 /183*189/,s14 /190*196/;
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
,objvar,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,s1s1(s1)
,s1s2(s2),s1s3(s3),s1s4(s4),s1s5(s5),s1s6(s6),s1s7(s7),s1s8(s8)
,s1s9(s9),s1s10(s10),s1s11(s11),s1s12(s12),s1s13(s13),s1s14(s14);
Positive 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,x65,x66;
Binary Variables b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98;
SOS1 Variables s1s1(s1),s1s2(s2),s1s3(s3),s1s4(s4),s1s5(s5),s1s6(s6),s1s7(s7)
,s1s8(s8),s1s9(s9),s1s10(s10),s1s11(s11),s1s12(s12),s1s13(s13)
,s1s14(s14);
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,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138;
e1.. - x1 - x2 - x3 + x15 + x16 + x17 + x65 =E= 0;
e2.. - x4 - x5 - x6 - x7 + x18 + x19 + x20 + x21 + x66 =E= 0;
e3.. x1 + x4 - x8 - x9 - x10 - x11 - x15 - x18 + x22 + x23 + x24 + x25
=E= 1.212;
e4.. x2 + x8 + x12 - x16 - x22 - x26 =E= 0.452;
e5.. x9 - x12 + x13 - x23 + x26 - x27 =E= 0.245;
e6.. x5 + x10 - x13 - x14 - x19 - x24 + x27 + x28 =E= 0.652;
e7.. x6 + x14 - x20 - x28 =E= 0.252;
e8.. x3 + x7 + x11 - x17 - x21 - x25 =E= 0.456;
e9.. x29 - 38721.1970117411*s1s1('99') - 2543.8701482414*s1s1('100')
- 207.747320703761*s1s1('101') - 23.9314504121258*s1s1('102')
- 1.5722267648148*s1s1('103') - 0.181112645550961*s1s1('104')
- 0.0390863672545667*s1s1('105') =E= 0;
e10.. x30 - 32510.4890865135*s1s2('106') - 2135.84468132099*s1s2('107')
- 174.425573683688*s1s2('108') - 20.0929521164322*s1s2('109')
- 1.32004857865156*s1s2('110') - 0.152062982061963*s1s2('111')
- 0.0328170876451919*s1s2('112') =E= 0;
e11.. x31 - 63468.4628982673*s1s3('113') - 4169.69361956223*s1s3('114')
- 340.521578201805*s1s3('115') - 39.2263796008983*s1s3('116')
- 2.57705917665854*s1s3('117') - 0.296864304610023*s1s3('118')
- 0.0640670186196026*s1s3('119') =E= 0;
e12.. x32 - 50797.5773435889*s1s4('120') - 3337.25325093014*s1s4('121')
- 272.539627020641*s1s4('122') - 31.3951994533022*s1s4('123')
- 2.06257339263358*s1s4('124') - 0.237598120158509*s1s4('125')
- 0.0512766370081929*s1s4('126') =E= 0;
e13.. x33 - 59165.7349698592*s1s5('127') - 3887.01689524085*s1s5('128')
- 317.436542928413*s1s5('129') - 36.5670992066393*s1s5('130')
- 2.40235218067626*s1s5('131') - 0.27673893405488*s1s5('132')
- 0.0597237127048799*s1s5('133') =E= 0;
e14.. x34 - 32977.2294678044*s1s6('134') - 2166.50816836621*s1s6('135')
- 176.929733450444*s1s6('136') - 20.3814187742893*s1s6('137')
- 1.339*s1s6('138') - 0.154246090843839*s1s6('139')
- 0.0332882297421199*s1s6('140') =E= 0;
e15.. x35 - 33843.9321019273*s1s7('141') - 2223.4480134252*s1s7('142')
- 181.579774357788*s1s7('143') - 20.9170801874496*s1s7('144')
- 1.37419139860501*s1s7('145') - 0.158299963634093*s1s7('146')
- 0.0341631060391402*s1s7('147') =E= 0;
e16.. x36 - 31810.181054648*s1s8('148') - 2089.8364782095*s1s8('149')
- 170.668274619734*s1s8('150') - 19.660130090483*s1s8('151')
- 1.2916134290104*s1s8('152') - 0.148787395299671*s1s8('153')
- 0.0321101751776739*s1s8('154') =E= 0;
e17.. x37 - 39461.9459070343*s1s9('155') - 2592.53519858857*s1s9('156')
- 211.721593458417*s1s9('157') - 24.3892667200816*s1s9('158')
- 1.60230396616872*s1s9('159') - 0.184577388442944*s1s9('160')
- 0.0398341019735132*s1s9('161') =E= 0;
e18.. x38 - 32977.2294678044*s1s10('162') - 2166.50816836621*s1s10('163')
- 176.929733450444*s1s10('164') - 20.3814187742893*s1s10('165')
- 1.339*s1s10('166') - 0.154246090843839*s1s10('167')
- 0.0332882297421199*s1s10('168') =E= 0;
e19.. x39 - 52785.5148814787*s1s11('169') - 3467.85497167945*s1s11('170')
- 283.205327698691*s1s11('171') - 32.6238347301504*s1s11('172')
- 2.14329116080854*s1s11('173') - 0.246896402610059*s1s11('174')
- 0.0532833223041444*s1s11('175') =E= 0;
e20.. x40 - 30677.4142839491*s1s12('176') - 2015.41699236491*s1s12('177')
- 164.590743970989*s1s12('178') - 18.9600290116536*s1s12('179')
- 1.24561882211213*s1s12('180') - 0.143489047044288*s1s12('181')
- 0.0309667255575633*s1s12('182') =E= 0;
e21.. x41 - 28361.2795383154*s1s13('183') - 1863.25366856746*s1s13('184')
- 152.164196629274*s1s13('185') - 17.5285530220005*s1s13('186')
- 1.15157500841239*s1s13('187') - 0.132655670919396*s1s13('188')
- 0.0286287479053886*s1s13('189') =E= 0;
e22.. x42 - 50797.5773435889*s1s14('190') - 3337.25325093014*s1s14('191')
- 272.539627020641*s1s14('192') - 31.3951994533022*s1s14('193')
- 2.06257339263358*s1s14('194') - 0.237598120158509*s1s14('195')
- 0.0512766370081929*s1s14('196') =E= 0;
e23.. -(x1 + x15)*(x1 - x15)*x29 + x43 - x45 - x51 =E= 0;
e24.. -(x2 + x16)*(x2 - x16)*x30 + x43 - x46 - x52 =E= 0;
e25.. -(x3 + x17)*(x3 - x17)*x31 + x43 - x50 - x53 =E= 0;
e26.. -(x4 + x18)*(x4 - x18)*x32 + x44 - x45 - x54 =E= 0;
e27.. -(x5 + x19)*(x5 - x19)*x33 + x44 - x48 - x55 =E= 0;
e28.. -(x6 + x20)*(x6 - x20)*x34 + x44 - x49 - x56 =E= 0;
e29.. -(x7 + x21)*(x7 - x21)*x35 + x44 - x50 - x57 =E= 0;
e30.. -(x8 + x22)*(x8 - x22)*x36 + x45 - x46 - x58 =E= 0;
e31.. -(x9 + x23)*(x9 - x23)*x37 + x45 - x47 - x59 =E= 0;
e32.. -(x10 + x24)*(x10 - x24)*x38 + x45 - x48 - x60 =E= 0;
e33.. -(x11 + x25)*(x11 - x25)*x39 + x45 - x50 - x61 =E= 0;
e34.. -(x12 + x26)*(x12 - x26)*x40 - x46 + x47 - x62 =E= 0;
e35.. -(x13 + x27)*(x13 - x27)*x41 - x47 + x48 - x63 =E= 0;
e36.. -(x14 + x28)*(x14 - x28)*x42 + x48 - x49 - x64 =E= 0;
e37.. x51 + 12*b85 =L= 12;
e38.. x52 + 12*b86 =L= 12;
e39.. x53 + 12*b87 =L= 12;
e40.. x54 + 12*b88 =L= 12;
e41.. x55 + 12*b89 =L= 12;
e42.. x56 + 12*b90 =L= 12;
e43.. x57 + 12*b91 =L= 12;
e44.. x58 + 12*b92 =L= 12;
e45.. x59 + 12*b93 =L= 12;
e46.. x60 + 12*b94 =L= 12;
e47.. x61 + 12*b95 =L= 12;
e48.. x62 + 12*b96 =L= 12;
e49.. x63 + 12*b97 =L= 12;
e50.. x64 + 12*b98 =L= 12;
e51.. x51 - 12*b85 =G= -12;
e52.. x52 - 12*b86 =G= -12;
e53.. x53 - 12*b87 =G= -12;
e54.. x54 - 12*b88 =G= -12;
e55.. x55 - 12*b89 =G= -12;
e56.. x56 - 12*b90 =G= -12;
e57.. x57 - 12*b91 =G= -12;
e58.. x58 - 12*b92 =G= -12;
e59.. x59 - 12*b93 =G= -12;
e60.. x60 - 12*b94 =G= -12;
e61.. x61 - 12*b95 =G= -12;
e62.. x62 - 12*b96 =G= -12;
e63.. x63 - 12*b97 =G= -12;
e64.. x64 - 12*b98 =G= -12;
e65.. -(1.02*x65*(-6.5 + x43) + 1.02*x66*(-3.25 + x44)) + x67 =E= 0;
e66.. x68 - 9.11349113439539*s1s1('99') - 17.6144733325531*s1s1('100')
- 32.2986551864818*s1s1('101') - 54.4931814987685*s1s1('102')
- 105.323928905069*s1s1('103') - 177.698914733437*s1s1('104')
- 257.546555368226*s1s1('105') - 7.65172765642961*s1s2('106')
- 14.7891900880288*s1s2('107') - 27.118094428506*s1s2('108')
- 45.7527173518919*s1s2('109') - 88.4304387640365*s1s2('110')
- 149.196798497086*s1s2('111') - 216.237232413786*s1s2('112')
- 14.9380525029139*s1s3('113') - 28.8721329260735*s1s3('114')
- 52.941183552398*s1s3('115') - 89.3205462402005*s1s3('116')
- 172.637944844116*s1s3('117') - 291.268810037089*s1s3('118')
- 422.148209648796*s1s3('119') - 11.9558099050809*s1s4('120')
- 23.1080813747994*s1s4('121') - 42.3719709499612*s1s4('122')
- 71.4885338137291*s1s4('123') - 138.172392322055*s1s4('124')
- 233.119713791557*s1s4('125') - 337.870264236031*s1s4('126')
- 13.9253546563734*s1s5('127') - 26.9147996770731*s1s5('128')
- 49.3521332015331*s1s5('129') - 83.2652237802191*s1s5('130')
- 160.93427229773*s1s5('131') - 271.522775764452*s1s5('132')
- 393.529446744536*s1s5('133') - 7.76158051882097*s1s6('134')
- 15.0015127080393*s1s6('135') - 27.5074183079396*s1s6('136')
- 46.4095712271164*s1s6('137') - 89.7*s1s6('138')
- 151.338758602103*s1s6('139') - 219.341665817957*s1s6('140')
- 7.96556922221359*s1s7('141') - 15.3957802311063*s1s7('142')
- 28.2303641796868*s1s7('143') - 47.6293006671023*s1s7('144')
- 92.0574820424717*s1s7('145') - 155.316221319321*s1s7('146')
- 225.10637081608*s1s7('147') - 7.48690188831565*s1s8('148')
- 14.4706163324673*s1s8('149') - 26.5339439013751*s1s8('150')
- 44.7671586494086*s1s8('151') - 86.5255598074927*s1s8('152')
- 145.982952158506*s1s8('153') - 211.579268940989*s1s8('154')
- 9.28783513744935*s1s9('155') - 17.9514438466182*s1s9('156')
- 32.916538800503*s1s9('157') - 55.5356535066454*s1s9('158')
- 107.338809384118*s1s9('159') - 181.098351861986*s1s9('160')
- 262.473503425068*s1s9('161') - 7.76158051882097*s1s10('162')
- 15.0015127080393*s1s10('163') - 27.5074183079396*s1s10('164')
- 46.4095712271164*s1s10('165') - 89.7*s1s10('166')
- 151.338758602103*s1s10('167') - 219.341665817957*s1s10('168')
- 12.4236944883441*s1s11('169') - 24.0124044704238*s1s11('170')
- 44.0301766363479*s1s11('171') - 74.2862014846846*s1s11('172')
- 143.579699122125*s1s11('173') - 242.242736071415*s1s11('174')
- 351.092646411238*s1s11('175') - 7.22029184733547*s1s12('176')
- 13.9553148538372*s1s12('177') - 25.5890649679471*s1s12('178')
- 43.1729913716576*s1s12('179') - 83.44436769489*s1s12('180')
- 140.784470672041*s1s12('181') - 204.044889780639*s1s12('182')
- 6.67516217420068*s1s13('183') - 12.9016931463472*s1s13('184')
- 23.6570989315674*s1s13('185') - 39.913444642481*s1s13('186')
- 77.1443452237428*s1s13('187') - 130.155289178744*s1s13('188')
- 188.639567333459*s1s13('189') - 11.9558099050809*s1s14('190')
- 23.1080813747994*s1s14('191') - 42.3719709499612*s1s14('192')
- 71.4885338137291*s1s14('193') - 138.172392322055*s1s14('194')
- 233.119713791557*s1s14('195') - 337.870264236031*s1s14('196') =E= 0;
e67.. - 0.2*x65 - 0.17*x66 + x69 =E= 0;
e68.. - 10*x67 - x68 - 10*x69 + objvar =E= 0;
e69.. x1 - 2*b71 =L= 0;
e70.. x2 - 2*b72 =L= 0;
e71.. x3 - 2*b73 =L= 0;
e72.. x4 - 2*b74 =L= 0;
e73.. x5 - 2*b75 =L= 0;
e74.. x6 - 2*b76 =L= 0;
e75.. x7 - 2*b77 =L= 0;
e76.. x8 - 2*b78 =L= 0;
e77.. x9 - 2*b79 =L= 0;
e78.. x10 - 2*b80 =L= 0;
e79.. x11 - 2*b81 =L= 0;
e80.. x12 - 2*b82 =L= 0;
e81.. x13 - 2*b83 =L= 0;
e82.. x14 - 2*b84 =L= 0;
e83.. x15 + 2*b71 =L= 2;
e84.. x16 + 2*b72 =L= 2;
e85.. x17 + 2*b73 =L= 2;
e86.. x18 + 2*b74 =L= 2;
e87.. x19 + 2*b75 =L= 2;
e88.. x20 + 2*b76 =L= 2;
e89.. x21 + 2*b77 =L= 2;
e90.. x22 + 2*b78 =L= 2;
e91.. x23 + 2*b79 =L= 2;
e92.. x24 + 2*b80 =L= 2;
e93.. x25 + 2*b81 =L= 2;
e94.. x26 + 2*b82 =L= 2;
e95.. x27 + 2*b83 =L= 2;
e96.. x28 + 2*b84 =L= 2;
e97.. x1 + x15 - 2*b85 =L= 0;
e98.. x2 + x16 - 2*b86 =L= 0;
e99.. x3 + x17 - 2*b87 =L= 0;
e100.. x4 + x18 - 2*b88 =L= 0;
e101.. x5 + x19 - 2*b89 =L= 0;
e102.. x6 + x20 - 2*b90 =L= 0;
e103.. x7 + x21 - 2*b91 =L= 0;
e104.. x8 + x22 - 2*b92 =L= 0;
e105.. x9 + x23 - 2*b93 =L= 0;
e106.. x10 + x24 - 2*b94 =L= 0;
e107.. x11 + x25 - 2*b95 =L= 0;
e108.. x12 + x26 - 2*b96 =L= 0;
e109.. x13 + x27 - 2*b97 =L= 0;
e110.. x14 + x28 - 2*b98 =L= 0;
e111.. - b85 + s1s1('99') + s1s1('100') + s1s1('101') + s1s1('102')
+ s1s1('103') + s1s1('104') + s1s1('105') =E= 0;
e112.. - b86 + s1s2('106') + s1s2('107') + s1s2('108') + s1s2('109')
+ s1s2('110') + s1s2('111') + s1s2('112') =E= 0;
e113.. - b87 + s1s3('113') + s1s3('114') + s1s3('115') + s1s3('116')
+ s1s3('117') + s1s3('118') + s1s3('119') =E= 0;
e114.. - b88 + s1s4('120') + s1s4('121') + s1s4('122') + s1s4('123')
+ s1s4('124') + s1s4('125') + s1s4('126') =E= 0;
e115.. - b89 + s1s5('127') + s1s5('128') + s1s5('129') + s1s5('130')
+ s1s5('131') + s1s5('132') + s1s5('133') =E= 0;
e116.. - b90 + s1s6('134') + s1s6('135') + s1s6('136') + s1s6('137')
+ s1s6('138') + s1s6('139') + s1s6('140') =E= 0;
e117.. - b91 + s1s7('141') + s1s7('142') + s1s7('143') + s1s7('144')
+ s1s7('145') + s1s7('146') + s1s7('147') =E= 0;
e118.. - b92 + s1s8('148') + s1s8('149') + s1s8('150') + s1s8('151')
+ s1s8('152') + s1s8('153') + s1s8('154') =E= 0;
e119.. - b93 + s1s9('155') + s1s9('156') + s1s9('157') + s1s9('158')
+ s1s9('159') + s1s9('160') + s1s9('161') =E= 0;
e120.. - b94 + s1s10('162') + s1s10('163') + s1s10('164') + s1s10('165')
+ s1s10('166') + s1s10('167') + s1s10('168') =E= 0;
e121.. - b95 + s1s11('169') + s1s11('170') + s1s11('171') + s1s11('172')
+ s1s11('173') + s1s11('174') + s1s11('175') =E= 0;
e122.. - b96 + s1s12('176') + s1s12('177') + s1s12('178') + s1s12('179')
+ s1s12('180') + s1s12('181') + s1s12('182') =E= 0;
e123.. - b97 + s1s13('183') + s1s13('184') + s1s13('185') + s1s13('186')
+ s1s13('187') + s1s13('188') + s1s13('189') =E= 0;
e124.. - b98 + s1s14('190') + s1s14('191') + s1s14('192') + s1s14('193')
+ s1s14('194') + s1s14('195') + s1s14('196') =E= 0;
e125.. x1 + x15 - 0.0176041976445841*s1s1('99')
- 0.0686820348432157*s1s1('100') - 0.240338257044582*s1s1('101')
- 0.708118780382974*s1s1('102') - 2.76269556439349*s1s1('103')
- 8.13984688781727*s1s1('104') - 17.521769741878*s1s1('105') =L= 0;
e126.. x2 + x16 - 0.0192122784105588*s1s2('106')
- 0.0749558941482069*s1s2('107') - 0.262292300976835*s1s2('108')
- 0.772802909347502*s1s2('109') - 3.01505796619323*s1s2('110')
- 8.88339291488115*s1s2('111') - 19.1223210124677*s1s2('112') =L= 0;
e127.. x3 + x17 - 0.0137502828767635*s1s3('113')
- 0.0536461488738445*s1s3('114') - 0.187723353667753*s1s3('115')
- 0.553097263345606*s1s3('116') - 2.15788565203237*s1s3('117')
- 6.35786984108667*s1s3('118') - 13.6859001084016*s1s3('119') =L= 0;
e128.. x4 + x18 - 0.0153698320860398*s1s4('120')
- 0.0599647518268192*s1s4('121') - 0.209833968534382*s1s4('122')
- 0.618242703881818*s1s4('123') - 2.41204784147821*s1s4('124')
- 7.10671865867823*s1s4('125') - 15.297866123752*s1s4('126') =L= 0;
e129.. x5 + x19 - 0.0142414920290718*s1s5('127')
- 0.0555625806701283*s1s5('128') - 0.194429501479406*s1s5('129')
- 0.572855870518057*s1s5('130') - 2.23497302480958*s1s5('131')
- 6.58499563065165*s1s5('132') - 14.1748092785675*s1s5('133') =L= 0;
e130.. x6 + x20 - 0.0190758342372385*s1s6('134')
- 0.0744235629590588*s1s6('135') - 0.260429520550158*s1s6('136')
- 0.767314520523847*s1s6('137') - 2.99364524861134*s1s6('138')
- 8.82030371865732*s1s6('139') - 18.9865157099025*s1s6('140') =L= 0;
e131.. x7 + x21 - 0.0188299954674205*s1s7('141')
- 0.0734644333642121*s1s7('142') - 0.257073249355929*s1s7('143')
- 0.757425796631457*s1s7('144') - 2.95506480929543*s1s7('145')
- 8.70663253716935*s1s7('146') - 18.7418280277177*s1s7('147') =L= 0;
e132.. x8 + x22 - 0.0194226083350049*s1s8('148')
- 0.0757764874800376*s1s8('149') - 0.265163793814297*s1s8('150')
- 0.781263310246409*s1s8('151') - 3.04806586357418*s1s8('152')
- 8.98064548017735*s1s8('153') - 19.3316661118795*s1s8('154') =L= 0;
e133.. x9 + x23 - 0.0174381887671401*s1s9('155')
- 0.0680343582075014*s1s9('156') - 0.238071849619242*s1s9('157')
- 0.701441168247406*s1s9('158') - 2.73664314220282*s1s9('159')
- 8.06308753350335*s1s9('160') - 17.3565381656137*s1s9('161') =L= 0;
e134.. x10 + x24 - 0.0190758342372385*s1s10('162')
- 0.0744235629590588*s1s10('163') - 0.260429520550158*s1s10('164')
- 0.767314520523847*s1s10('165') - 2.99364524861134*s1s10('166')
- 8.82030371865732*s1s10('167') - 18.9865157099025*s1s10('168') =L= 0;
e135.. x11 + x25 - 0.0150776355652448*s1s11('169')
- 0.0588247594211735*s1s11('170') - 0.205844806180028*s1s11('171')
- 0.606489265973719*s1s11('172') - 2.36619229905421*s1s11('173')
- 6.97161253294371*s1s11('174') - 15.0070377508768*s1s11('175') =L= 0;
e136.. x12 + x26 - 0.0197779487583483*s1s12('176')
- 0.0771628331590627*s1s12('177') - 0.270015017353593*s1s12('178')
- 0.795556675515238*s1s12('179') - 3.10383082550202*s1s12('180')
- 9.14494814806731*s1s12('181') - 19.6853427294401*s1s12('182') =L= 0;
e137.. x13 + x27 - 0.02056968839856*s1s13('183')
- 0.0802517719822704*s1s13('184') - 0.280824105561038*s1s13('185')
- 0.827403949655566*s1s13('186') - 3.22808162274528*s1s13('187')
- 9.5110335315907*s1s13('188') - 20.4733752175652*s1s13('189') =L= 0;
e138.. x14 + x28 - 0.0153698320860398*s1s14('190')
- 0.0599647518268192*s1s14('191') - 0.209833968534382*s1s14('192')
- 0.618242703881818*s1s14('193') - 2.41204784147821*s1s14('194')
- 7.10671865867823*s1s14('195') - 15.297866123752*s1s14('196') =L= 0;
* set non-default bounds
x43.lo = 6.5;
x44.lo = 3.25;
x45.lo = 16.58;
x46.lo = 14.92;
x47.lo = 12.925;
x48.lo = 12.26;
x49.lo = 8.76;
x50.lo = 16.08;
x65.up = 2.5;
x66.up = 6;
* set non-default levels
x43.l = 11.5;
x44.l = 8.25;
x45.l = 21.58;
x46.l = 19.92;
x47.l = 17.925;
x48.l = 17.26;
x49.l = 13.76;
x50.l = 21.08;
x65.l = 0.961470588235294;
x66.l = 2.30752941176471;
s1s1.l('99') = 0.142857142857143;
s1s1.l('100') = 0.142857142857143;
s1s1.l('101') = 0.142857142857143;
s1s1.l('102') = 0.142857142857143;
s1s1.l('103') = 0.142857142857143;
s1s1.l('104') = 0.142857142857143;
s1s1.l('105') = 0.142857142857143;
s1s2.l('106') = 0.142857142857143;
s1s2.l('107') = 0.142857142857143;
s1s2.l('108') = 0.142857142857143;
s1s2.l('109') = 0.142857142857143;
s1s2.l('110') = 0.142857142857143;
s1s2.l('111') = 0.142857142857143;
s1s2.l('112') = 0.142857142857143;
s1s3.l('113') = 0.142857142857143;
s1s3.l('114') = 0.142857142857143;
s1s3.l('115') = 0.142857142857143;
s1s3.l('116') = 0.142857142857143;
s1s3.l('117') = 0.142857142857143;
s1s3.l('118') = 0.142857142857143;
s1s3.l('119') = 0.142857142857143;
s1s4.l('120') = 0.142857142857143;
s1s4.l('121') = 0.142857142857143;
s1s4.l('122') = 0.142857142857143;
s1s4.l('123') = 0.142857142857143;
s1s4.l('124') = 0.142857142857143;
s1s4.l('125') = 0.142857142857143;
s1s4.l('126') = 0.142857142857143;
s1s5.l('127') = 0.142857142857143;
s1s5.l('128') = 0.142857142857143;
s1s5.l('129') = 0.142857142857143;
s1s5.l('130') = 0.142857142857143;
s1s5.l('131') = 0.142857142857143;
s1s5.l('132') = 0.142857142857143;
s1s5.l('133') = 0.142857142857143;
s1s6.l('134') = 0.142857142857143;
s1s6.l('135') = 0.142857142857143;
s1s6.l('136') = 0.142857142857143;
s1s6.l('137') = 0.142857142857143;
s1s6.l('138') = 0.142857142857143;
s1s6.l('139') = 0.142857142857143;
s1s6.l('140') = 0.142857142857143;
s1s7.l('141') = 0.142857142857143;
s1s7.l('142') = 0.142857142857143;
s1s7.l('143') = 0.142857142857143;
s1s7.l('144') = 0.142857142857143;
s1s7.l('145') = 0.142857142857143;
s1s7.l('146') = 0.142857142857143;
s1s7.l('147') = 0.142857142857143;
s1s8.l('148') = 0.142857142857143;
s1s8.l('149') = 0.142857142857143;
s1s8.l('150') = 0.142857142857143;
s1s8.l('151') = 0.142857142857143;
s1s8.l('152') = 0.142857142857143;
s1s8.l('153') = 0.142857142857143;
s1s8.l('154') = 0.142857142857143;
s1s9.l('155') = 0.142857142857143;
s1s9.l('156') = 0.142857142857143;
s1s9.l('157') = 0.142857142857143;
s1s9.l('158') = 0.142857142857143;
s1s9.l('159') = 0.142857142857143;
s1s9.l('160') = 0.142857142857143;
s1s9.l('161') = 0.142857142857143;
s1s10.l('162') = 0.142857142857143;
s1s10.l('163') = 0.142857142857143;
s1s10.l('164') = 0.142857142857143;
s1s10.l('165') = 0.142857142857143;
s1s10.l('166') = 0.142857142857143;
s1s10.l('167') = 0.142857142857143;
s1s10.l('168') = 0.142857142857143;
s1s11.l('169') = 0.142857142857143;
s1s11.l('170') = 0.142857142857143;
s1s11.l('171') = 0.142857142857143;
s1s11.l('172') = 0.142857142857143;
s1s11.l('173') = 0.142857142857143;
s1s11.l('174') = 0.142857142857143;
s1s11.l('175') = 0.142857142857143;
s1s12.l('176') = 0.142857142857143;
s1s12.l('177') = 0.142857142857143;
s1s12.l('178') = 0.142857142857143;
s1s12.l('179') = 0.142857142857143;
s1s12.l('180') = 0.142857142857143;
s1s12.l('181') = 0.142857142857143;
s1s12.l('182') = 0.142857142857143;
s1s13.l('183') = 0.142857142857143;
s1s13.l('184') = 0.142857142857143;
s1s13.l('185') = 0.142857142857143;
s1s13.l('186') = 0.142857142857143;
s1s13.l('187') = 0.142857142857143;
s1s13.l('188') = 0.142857142857143;
s1s13.l('189') = 0.142857142857143;
s1s14.l('190') = 0.142857142857143;
s1s14.l('191') = 0.142857142857143;
s1s14.l('192') = 0.142857142857143;
s1s14.l('193') = 0.142857142857143;
s1s14.l('194') = 0.142857142857143;
s1s14.l('195') = 0.142857142857143;
s1s14.l('196') = 0.142857142857143;
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