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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waterno1_01
| Formatsⓘ | ams gms osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 151.0556006 (COUENNE) 151.0556006 (LINDO) 151.0556006 (SCIP) |
| Referencesⓘ | Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011. Gleixner, Ambros, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711. |
| Applicationⓘ | Water Network Operation |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 157 |
| #Binary Variablesⓘ | 15 |
| #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ⓘ | 12 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 182 |
| #Linear Constraintsⓘ | 136 |
| #Quadratic Constraintsⓘ | 24 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 22 |
| Operands in Gen. Nonlin. Functionsⓘ | signpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 471 |
| #Nonlinear Nonzeros in Jacobianⓘ | 58 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 58 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 34 |
| #Blocks in Hessian of Lagrangianⓘ | 34 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 2 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.352941 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.8052e-04 |
| Maximal coefficientⓘ | 6.0160e+04 |
| Infeasibility of initial pointⓘ | 5796 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 183 102 39 42 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 158 143 15 0 0 0 0 0
* FX 5
*
* Nonzero counts
* Total const NL DLL
* 484 426 58 0
*
* Solve m using MINLP minimizing objvar;
Variables objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,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,x136,x137,x138,x139,x140,x141
,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
,x155,x156,x157,x158;
Positive Variables x18,x21,x23,x25,x27,x29,x31,x33,x41,x48,x49,x53,x56,x58
,x60,x62,x66,x68,x70,x71,x73,x74,x75,x77,x79,x80,x81,x83,x85,x86,x87
,x89,x91,x92,x93,x99,x100,x102,x104,x106,x107,x109,x110,x121,x122
,x124,x128,x131,x134,x137,x139,x145,x147,x148,x149,x150,x151,x152
,x153,x154,x155,x156,x157,x158;
Binary Variables b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16;
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,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183;
e1.. objvar - x147 - x148 - x149 - x150 - x151 - x152 - x153 - x154 - x155
- x156 - x157 - x158 =E= 0;
e2.. x72 + x74 =E= 413.764247971;
e3.. - 443.128162372*x76 + x78 + x80 =E= 0;
e4.. - 443.128162372*x82 + x84 + x86 =E= 0;
e5.. - 443.128162372*x88 + x90 + x92 =E= 0;
e6.. - 443.128162372*x94 + x144 + x145 =E= 0;
e7.. x17 + x18 - 443.128162372*x146 =E= 0;
e8.. - 443.128162372*x19 + x20 + x21 =E= 0;
e9.. x22 + x23 =E= 413.764247971;
e10.. x24 + x25 =E= 106.777870451;
e11.. x26 + x27 =E= 106.777870451;
e12.. x28 + x29 =E= 106.777870451;
e13.. x30 + x31 =E= 106.777870452;
e14.. - x32 + x33 =E= 0;
e15.. x32 - x34 - x35 - x36 =E= 0;
e16.. x37 =E= 0.025;
e17.. x38 =E= 0.013;
e18.. x39 + x40 - x41 =E= 0;
e19.. x36 - x39 + x42 - x43 =E= 0;
e20.. x35 - x44 =E= 0;
e21.. x41 + x45 + x46 + x47 - x48 - x49 =E= 0;
e22.. - x37 + x43 + x44 - x50 =E= 0;
e23.. - x38 - x40 + x50 =E= 0;
e24.. x34 - x42 =E= 0;
e25.. - x51 =E= 0.1624;
e26.. x51 - x52 + x53 =E= 0;
e27.. x54 + x55 - x56 =E= 0;
e28.. x56 + x57 - x58 =E= 0;
e29.. - x57 - x59 =E= 0.0138888888888889;
e30.. - x46 + x59 - x60 =E= 0;
e31.. x61 =E= 0;
e32.. - x47 + x58 =E= 0;
e33.. - x45 - x53 =E= 0;
e34.. - x33 + x62 =E= 0;
e35.. 3600*x52 + 239.978718892*x63 - 239.978718892*x64 =E= 0;
e36.. 3600*x48 - 3600*x54 + 416.560177655*x65 - 416.560177655*x66 =E= 0;
e37.. 3600*x49 - 3600*x55 + 416.560177655*x67 - 416.560177655*x68 =E= 0;
e38.. 3600*x60 - 3600*x61 + 165.129961038*x69 - 165.129961038*x70 =E= 0;
e39.. - 0.037494*b2 + x71 =G= 0;
e40.. - 0.074997*b3 + x73 =G= 0;
e41.. - 0.074997*b4 + x75 =G= 0;
e42.. - 0.074997*b5 + x77 =G= 0;
e43.. - 0.074997*b6 + x79 =G= 0;
e44.. - 0.074997*b7 + x81 =G= 0;
e45.. - 0.074997*b8 + x83 =G= 0;
e46.. - 0.037494*b9 + x85 =G= 0;
e47.. - 0.097497*b10 + x87 =G= 0;
e48.. - 0.097497*b11 + x89 =G= 0;
e49.. - 0.097497*b12 + x91 =G= 0;
e50.. - 0.058743*b13 + x93 =G= 0;
e51.. - 0.045826*b2 + x71 =L= 0;
e52.. - 0.091663*b3 + x73 =L= 0;
e53.. - 0.091663*b4 + x75 =L= 0;
e54.. - 0.091663*b5 + x77 =L= 0;
e55.. - 0.091663*b6 + x79 =L= 0;
e56.. - 0.091663*b7 + x81 =L= 0;
e57.. - 0.091663*b8 + x83 =L= 0;
e58.. - 0.045826*b9 + x85 =L= 0;
e59.. - 0.119163*b10 + x87 =L= 0;
e60.. - 0.119163*b11 + x89 =L= 0;
e61.. - 0.119163*b12 + x91 =L= 0;
e62.. - 0.071797*b13 + x93 =L= 0;
e63.. - x63 + x95 =E= 300;
e64.. - x65 + x96 =E= 240;
e65.. - x67 + x97 =E= 240;
e66.. - x69 + x98 =E= 243;
e67.. x99 - x100 - x101 =E= 0;
e68.. x100 - x102 - x103 =E= 0;
e69.. x100 - x104 - x105 =E= 0;
e70.. x106 - x107 - x108 =E= 0;
e71.. - x109 + x110 - x111 =E= 0;
e72.. x104 - x109 - x112 =E= 0;
e73.. x100 - x106 - x113 =E= 0;
e74.. x107 - x110 - x114 =E= 0;
e75.. x102 - x104 - x115 =E= 0;
e76.. x104 - x107 - x116 =E= 0;
e77.. x107 - x117 - x118 =E= 0;
e78.. x110 - x119 - x120 =E= 0;
e79.. - x121 + x122 - x123 =E= 0;
e80.. - x124 + x125 - x126 =E= 0;
e81.. - x95 + x124 - x127 =E= 0;
e82.. x96 - x128 - x129 =E= 0;
e83.. x97 - x128 - x130 =E= 0;
e84.. - x131 + x132 - x133 =E= 0;
e85.. - x121 + x134 - x135 =E= 0;
e86.. x132 - x134 - x136 =E= 0;
e87.. - x121 + x137 - x138 =E= 0;
e88.. x98 - x139 - x140 =E= 0;
e89.. x99 - x141 - x142 =E= 0;
e90.. - x128 + x131 - x143 =E= 0;
e91.. - 239.978718892*x63 + 239.978718892*x64 - 416.560177655*x65
+ 416.560177655*x66 - 416.560177655*x67 + 416.560177655*x68
- 165.129961038*x69 + 165.129961038*x70 =G= 0;
e92.. b2 - b9 =G= 0;
e93.. b3 - b4 =G= 0;
e94.. b4 - b5 =G= 0;
e95.. b5 - b6 =G= 0;
e96.. b6 - b7 =G= 0;
e97.. b7 - b8 =G= 0;
e98.. b10 - b11 =G= 0;
e99.. b11 - b12 =G= 0;
e100.. x33 - x71 - x73 - x75 - x77 - x79 - x81 - x83 - x85 =E= 0;
e101.. x56 - x87 - x89 - x91 - x93 =E= 0;
e102.. - 712.572602172813*b2 + x72 - x142 =G= -712.572602172813;
e103.. - 851.700667228731*b3 + x78 - x142 =G= -851.700667228731;
e104.. - 851.700667228731*b4 + x84 - x142 =G= -851.700667228731;
e105.. - 851.700667228731*b5 + x90 - x142 =G= -851.700667228731;
e106.. - 851.700667228731*b6 - x142 + x144 =G= -851.700667228731;
e107.. - 851.700667228731*b7 + x17 - x142 =G= -851.700667228731;
e108.. - 851.700667228731*b8 + x20 - x142 =G= -851.700667228731;
e109.. - 712.572602172813*b9 + x22 - x142 =G= -712.572602172813;
e110.. - 925.825187656153*b10 + x24 - x143 =G= -925.825187656153;
e111.. - 925.825187656153*b11 + x26 - x143 =G= -925.825187656153;
e112.. - 925.825187656153*b12 + x28 - x143 =G= -925.825187656153;
e113.. - 925.825187656502*b13 + x30 - x143 =G= -925.825187656502;
e114.. 447.864247971*b2 + x72 - x142 =L= 447.864247971;
e115.. 672.20455381568*b3 + x78 - x142 =L= 672.20455381568;
e116.. 672.20455381568*b4 + x84 - x142 =L= 672.20455381568;
e117.. 672.20455381568*b5 + x90 - x142 =L= 672.20455381568;
e118.. 672.20455381568*b6 - x142 + x144 =L= 672.20455381568;
e119.. 672.20455381568*b7 + x17 - x142 =L= 672.20455381568;
e120.. 672.20455381568*b8 + x20 - x142 =L= 672.20455381568;
e121.. 447.864247971*b9 + x22 - x142 =L= 447.864247971;
e122.. 1106.777870451*b10 + x24 - x143 =L= 1106.777870451;
e123.. 1106.777870451*b11 + x26 - x143 =L= 1106.777870451;
e124.. 1106.777870451*b12 + x28 - x143 =L= 1106.777870451;
e125.. 1106.777870452*b13 + x30 - x143 =L= 1106.777870452;
e126.. - 5*b14 + x41 =L= 0;
e127.. - 5*b15 + x58 =L= 0;
e128.. - 5*b16 + x53 =L= 0;
e129.. - 1000*b14 + x109 - x121 =G= -1000;
e130.. - 1000*b15 + x131 - x137 =G= -1000;
e131.. - 1000*b16 + x122 - x124 =G= -1000;
e132.. - 1000*b14 + x109 - x121 =L= 0;
e133.. - 1000*b15 + x131 - x137 =L= 0;
e134.. - 1000*b16 + x122 - x124 =L= 0;
e135.. - x96 + x121 =G= 60;
e136.. - x97 + x121 =G= 60;
e137.. - x98 + x134 =G= 50;
e138.. 60159.7666785*sqr(x71) - x74 =E= 0;
e139.. 16103.4266989*sqr(x73) - x80 =E= 0;
e140.. 16103.4266989*sqr(x75) - x86 =E= 0;
e141.. 16103.4266989*sqr(x77) - x92 =E= 0;
e142.. 16103.4266989*sqr(x79) - x145 =E= 0;
e143.. 16103.4266989*sqr(x81) - x18 =E= 0;
e144.. 16103.4266989*sqr(x83) - x21 =E= 0;
e145.. 60159.7666785*sqr(x85) - x23 =E= 0;
e146.. 2296.01902001*sqr(x87) - x25 =E= 0;
e147.. 2296.01902001*sqr(x89) - x27 =E= 0;
e148.. 2296.01902001*sqr(x91) - x29 =E= 0;
e149.. 6324.78464025*sqr(x93) - x31 =E= 0;
e150.. 2.4525*x71*x72 - x147 =L= 0;
e151.. 2.4525*x73*x78 - x148 =L= 0;
e152.. 2.4525*x75*x84 - x149 =L= 0;
e153.. 2.4525*x77*x90 - x150 =L= 0;
e154.. 2.4525*x79*x144 - x151 =L= 0;
e155.. 2.4525*x17*x81 - x152 =L= 0;
e156.. 2.4525*x20*x83 - x153 =L= 0;
e157.. 2.4525*x22*x85 - x154 =L= 0;
e158.. 2.4525*x24*x87 - x155 =L= 0;
e159.. 2.4525*x26*x89 - x156 =L= 0;
e160.. 2.4525*x28*x91 - x157 =L= 0;
e161.. 2.4525*x30*x93 - x158 =L= 0;
e162.. SignPower(x32,2) - 0.107595782151047*x101 =E= 0;
e163.. SignPower(x34,2) - 0.000240846101592208*x103 =E= 0;
e164.. SignPower(x36,2) - 0.0011039398274554*x105 =E= 0;
e165.. SignPower(x44,2) - 0.0147658094299242*x108 =E= 0;
e166.. SignPower(x40,2) - 0.0126524872624481*x111 =E= 0;
e167.. SignPower(x39,2) - 0.000713164667292268*x112 =E= 0;
e168.. SignPower(x35,2) - 0.0253049745248962*x113 =E= 0;
e169.. SignPower(x50,2) - 0.0196735206566467*x114 =E= 0;
e170.. SignPower(x42,2) - 0.13436247753087*x115 =E= 0;
e171.. SignPower(x43,2) - 0.13436247753087*x116 =E= 0;
e172.. SignPower(x37,2) - 0.00268724955062101*x118 =E= 0;
e173.. SignPower(x38,2) - 0.00175817654162355*x120 =E= 0;
e174.. SignPower(x45,2) - 0.0156579704750926*x123 =E= 0;
e175.. SignPower(x51,2) - 0.4031634796292*x126 =E= 0;
e176.. SignPower(x52,2) - 0.4031634796292*x127 =E= 0;
e177.. SignPower(x54,2) - 8.06326959261651*x129 =E= 0;
e178.. SignPower(x55,2) - 8.06326959261651*x130 =E= 0;
e179.. SignPower(x57,2) - 0.000180519501834947*x133 =E= 0;
e180.. SignPower(x46,2) - 0.000180519501834947*x135 =E= 0;
e181.. SignPower(x59,2) - 0.013538962637621*x136 =E= 0;
e182.. SignPower(x47,2) - 0.0463936827608069*x138 =E= 0;
e183.. SignPower(x61,2) - 0.0964450219247959*x140 =E= 0;
* set non-default bounds
x17.lo = 148.299332771269; x17.up = 638.10455381568;
x18.up = 135.302691146811;
x19.lo = 0.8; x19.up = 1.2;
x20.lo = 148.299332771269; x20.up = 638.10455381568;
x21.up = 135.302691146811;
x22.lo = 287.427397827187; x22.up = 413.764247971;
x23.up = 126.336850143813;
x24.lo = 74.1748123438468; x24.up = 106.777870451;
x25.up = 32.6030581071532;
x26.lo = 74.1748123438468; x26.up = 106.777870451;
x27.up = 32.6030581071532;
x28.lo = 74.1748123438468; x28.up = 106.777870451;
x29.up = 32.6030581071532;
x30.lo = 74.1748123434975; x30.up = 106.777870452;
x31.up = 32.6030581085025;
x32.lo = -5; x32.up = 5;
x33.up = 0.64163;
x34.lo = -5; x34.up = 5;
x35.lo = -5; x35.up = 5;
x36.lo = -5; x36.up = 5;
x37.lo = -5; x37.up = 5;
x38.lo = -5; x38.up = 5;
x39.lo = -5; x39.up = 5;
x40.lo = -5; x40.up = 5;
x41.up = 5;
x42.lo = -5; x42.up = 5;
x43.lo = -5; x43.up = 5;
x44.lo = -5; x44.up = 5;
x45.lo = -5; x45.up = 5;
x46.lo = -5; x46.up = 5;
x47.lo = -5; x47.up = 5;
x48.up = 5;
x49.up = 5;
x50.lo = -5; x50.up = 5;
x51.lo = -5; x51.up = 5;
x52.lo = -5; x52.up = 5;
x53.up = 5;
x54.lo = -5; x54.up = 5;
x55.lo = -5; x55.up = 5;
x56.up = 0.429286;
x57.lo = -5; x57.up = 5;
x58.up = 5;
x59.lo = -5; x59.up = 5;
x60.up = 5;
x61.lo = -5; x61.up = 5;
x62.up = 5;
x63.fx = 6.3;
x64.lo = 5; x64.up = 10;
x65.fx = 4.6;
x66.up = 6;
x67.fx = 4.6;
x68.up = 6;
x69.fx = 10;
x70.up = 16.5;
x71.up = 0.045826;
x72.lo = 287.427397827187; x72.up = 413.764247971;
x73.up = 0.091663;
x74.up = 126.336850143813;
x75.up = 0.091663;
x76.lo = 0.8; x76.up = 1.2;
x77.up = 0.091663;
x78.lo = 148.299332771269; x78.up = 638.10455381568;
x79.up = 0.091663;
x80.up = 135.302691146811;
x81.up = 0.091663;
x82.lo = 0.8; x82.up = 1.2;
x83.up = 0.091663;
x84.lo = 148.299332771269; x84.up = 638.10455381568;
x85.up = 0.045826;
x86.up = 135.302691146811;
x87.up = 0.119163;
x88.lo = 0.8; x88.up = 1.2;
x89.up = 0.119163;
x90.lo = 148.299332771269; x90.up = 638.10455381568;
x91.up = 0.119163;
x92.up = 135.302691146811;
x93.up = 0.071797;
x94.lo = 0.8; x94.up = 1.2;
x95.lo = 305; x95.up = 310;
x96.lo = 240; x96.up = 246;
x97.lo = 240; x97.up = 246;
x98.lo = 243; x98.up = 259.5;
x99.up = 1000;
x100.up = 1000;
x101.lo = -232.35111544525; x101.up = 232.35111544525;
x102.up = 1000;
x103.lo = -103800.7251715; x103.up = 103800.7251715;
x104.up = 1000;
x105.lo = -22646.161845275; x105.up = 22646.161845275;
x106.up = 1000;
x107.up = 1000;
x108.lo = -1693.1005454625; x108.up = 1693.1005454625;
x109.up = 1000;
x110.up = 1000;
x111.lo = -1975.896081255; x111.up = 1975.896081255;
x112.lo = -35055.017651; x112.up = 35055.017651;
x113.lo = -987.9480406275; x113.up = 987.9480406275;
x114.lo = -1270.74357642; x114.up = 1270.74357642;
x115.lo = -186.06385100525; x115.up = 186.06385100525;
x116.lo = -186.06385100525; x116.up = 186.06385100525;
x117.lo = 214.9; x117.up = 1000;
x118.lo = -9303.19255025; x118.up = 9303.19255025;
x119.lo = 231.04; x119.up = 1000;
x120.lo = -14219.27742075; x120.up = 14219.27742075;
x121.up = 1000;
x122.up = 1000;
x123.lo = -1596.630932455; x123.up = 1596.630932455;
x124.up = 1000;
x125.lo = 300; x125.up = 1000;
x126.lo = -62.00958485375; x126.up = 62.00958485375;
x127.lo = -62.00958485375; x127.up = 62.00958485375;
x128.up = 1000;
x129.lo = -3.100479242675; x129.up = 3.100479242675;
x130.lo = -3.100479242675; x130.up = 3.100479242675;
x131.up = 1000;
x132.lo = 243; x132.up = 1000;
x133.lo = -138489.1922805; x133.up = 138489.1922805;
x134.up = 1000;
x135.lo = -138489.1922805; x135.up = 138489.1922805;
x136.lo = -1846.52256374; x136.up = 1846.52256374;
x137.up = 1000;
x138.lo = -538.866468715; x138.up = 538.866468715;
x139.up = 1000;
x140.lo = -259.21503776; x140.up = 259.21503776;
x141.fx = 34.1;
x142.lo = -34.1; x142.up = 1000;
x143.lo = -1000; x143.up = 1000;
x144.lo = 148.299332771269; x144.up = 638.10455381568;
x145.up = 135.302691146811;
x146.lo = 0.8; x146.up = 1.2;
x147.up = 46.5022459484905;
x148.up = 143.448141849487;
x149.up = 143.448141849487;
x150.up = 143.448141849487;
x151.up = 143.448141849487;
x152.up = 143.448141849487;
x153.up = 143.448141849487;
x154.up = 46.5022459484905;
x155.up = 31.205539800995;
x156.up = 31.205539800995;
x157.up = 31.205539800995;
x158.up = 18.8016762007756;
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: 2026-09-14 Git hash: 9472b011