MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance rsyn0810m
Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1721.45210000 (ALPHAECP) 1721.44771100 (ANTIGONE) 1721.44771100 (BARON) 1761.99830000 (BONMIN) 1721.44771100 (COUENNE) 1721.44771100 (LINDO) 1721.44771100 (SCIP) 1721.44771100 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | RSyn0810M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Retrofit Planning |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 185 |
| #Binary Variablesⓘ | 74 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 6 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 53 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 312 |
| #Linear Constraintsⓘ | 306 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 6 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 763 |
| #Nonlinear Nonzeros in Jacobianⓘ | 6 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 6 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 6 |
| #Blocks in Hessian of Lagrangianⓘ | 6 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 2.0000e-01 |
| Maximal coefficientⓘ | 5.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 313 75 93 145 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 186 112 74 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 817 811 6 0
*
* Solve m using MINLP maximizing 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,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,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x175,x176,b177,b178,b179,b180
,b181,b182,b183,b184,b185,b186;
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
,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,x152,x153,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163
,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176;
Binary Variables b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b177,b178
,b179,b180,b181,b182,b183,b184,b185,b186;
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,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313;
e1.. objvar + 4*x2 + 8*x7 + 5*x11 + 8*x23 - 23*x27 - 19*x29 + 10*x30 - 2*x33
- 3*x34 - 25*x35 - 24*x36 + 6*b89 + 40*b90 + 46*b91 + 7*b93 + 30*b94
+ 37*b95 + 7*b97 + 15*b98 + 22*b99 + 11*b101 + 13*b102 + 24*b103
+ 10*b105 + 13*b106 + 23*b107 + 9*b109 + 30*b110 + 39*b111 + 8*b113
+ 20*b114 + 28*b115 + 8*b117 + 15*b118 + 23*b119 - 5*x158 + 2*x163
- 200*x171 - 250*x172 - 200*x173 - 200*x174 - 500*x175 - 350*x176
+ 5*b177 + 8*b178 + 6*b179 + 10*b180 + 6*b181 + 7*b182 + 4*b183 + 5*b184
+ 2*b185 + 4*b186 =E= 0;
e2.. x2 - 0.2*x37 =E= 0;
e3.. x3 - 0.2*x38 =E= 0;
e4.. x4 - 0.2*x39 =E= 0;
e5.. x5 - 0.2*x40 =E= 0;
e6.. x6 - 0.2*x41 =E= 0;
e7.. x7 - 0.5*x42 =E= 0;
e8.. x8 - 0.5*x43 =E= 0;
e9.. x9 - 0.7*x44 =E= 0;
e10.. x10 - 0.7*x45 =E= 0;
e11.. x11 - 1.2*x46 =E= 0;
e12.. x12 - 1.2*x47 =E= 0;
e13.. x13 - 0.5*x48 =E= 0;
e14.. x14 - 0.7*x49 =E= 0;
e15.. x15 - 1.2*x50 =E= 0;
e16.. x16 - 1.2*x51 =E= 0;
e17.. x17 - 1.2*x52 =E= 0;
e18.. x18 - 1.2*x53 =E= 0;
e19.. x19 - 0.3*x54 =E= 0;
e20.. x20 - 0.9*x55 =E= 0;
e21.. x21 - 0.3*x56 =E= 0;
e22.. x22 - 0.9*x57 =E= 0;
e23.. x23 - 0.4*x58 =E= 0;
e24.. x24 - 0.4*x59 =E= 0;
e25.. x25 - 0.4*x60 =E= 0;
e26.. x26 - 1.6*x61 =E= 0;
e27.. x27 - 1.6*x62 =E= 0;
e28.. x28 - 1.1*x63 =E= 0;
e29.. x29 - 1.1*x64 =E= 0;
e30.. x30 - 0.7*x65 =E= 0;
e31.. x31 - 0.7*x66 =E= 0;
e32.. x32 - 0.7*x67 =E= 0;
e33.. x33 - 0.2*x68 =E= 0;
e34.. x34 - 0.7*x69 =E= 0;
e35.. x35 - 0.3*x70 =E= 0;
e36.. x36 - 0.9*x71 =E= 0;
e37.. x27 =G= 0.4;
e38.. x29 =G= 0.3;
e39.. x33 =G= 0.2;
e40.. x34 =G= 0.5;
e41.. x35 =G= 0.2;
e42.. x36 =G= 0.3;
e43.. x2 =L= 35;
e44.. x7 =L= 36;
e45.. x11 =L= 25;
e46.. x23 =L= 24;
e47.. x30 =L= 30;
e48.. x2 - x3 - x4 =E= 0;
e49.. x5 - x6 =E= 0;
e50.. x7 - x8 + x13 =E= 0;
e51.. x9 - x10 + x14 =E= 0;
e52.. x11 - x12 - x15 =E= 0;
e53.. x16 - x17 - x18 =E= 0;
e54.. x19 - x21 =E= 0;
e55.. x20 - x22 =E= 0;
e56.. x23 - x24 - x25 =E= 0;
e57.. x26 - x27 =E= 0;
e58.. x28 - x29 =E= 0;
e59.. x30 - x31 =E= 0;
e60.. x3 - x5 - x72 =E= 0;
e61.. x4 + x8 - x9 - x73 =E= 0;
e62.. x12 - x13 - x14 - x74 =E= 0;
e63.. x15 - x16 - x75 =E= 0;
e64.. x18 - x19 - x20 - x76 =E= 0;
e65.. x17 + x24 - x26 - x77 =E= 0;
e66.. x25 - x28 + x32 - x78 =E= 0;
e67.. x31 - x32 - x79 =E= 0;
e68.. x39 - x43 =L= 0;
e69.. x52 - x59 =L= 0;
e70.. x60 - x67 =L= 0;
e71.. - 0.8*x38 + x40 + 148.75*b88 =L= 148.75;
e72.. - 0.85*x38 + x40 + 148.75*b89 =L= 148.75;
e73.. - 0.8*x38 + x40 + 148.75*b90 =L= 148.75;
e74.. - 0.85*x38 + x40 + 148.75*b91 =L= 148.75;
e75.. - 0.8*x38 + x40 - 148.75*b88 =G= -148.75;
e76.. - 0.85*x38 + x40 - 148.75*b89 =G= -148.75;
e77.. - 0.8*x38 + x40 - 148.75*b90 =G= -148.75;
e78.. - 0.85*x38 + x40 - 148.75*b91 =G= -148.75;
e79.. - 0.9*x39 + x44 + 254.045833333333*b92 =L= 254.045833333333;
e80.. - 0.95*x39 + x44 + 254.045833333333*b93 =L= 254.045833333333;
e81.. - 0.9*x39 + x44 + 254.045833333333*b94 =L= 254.045833333333;
e82.. - 0.95*x39 + x44 + 254.045833333333*b95 =L= 254.045833333333;
e83.. - 0.9*x39 + x44 - 166.25*b92 =G= -166.25;
e84.. - 0.95*x39 + x44 - 166.25*b93 =G= -166.25;
e85.. - 0.9*x39 + x44 - 166.25*b94 =G= -166.25;
e86.. - 0.95*x39 + x44 - 166.25*b95 =G= -166.25;
e87.. - 0.85*x47 + x48 + 20.4166666666667*b96 =L= 20.4166666666667;
e88.. - 0.98*x47 + x48 + 20.4166666666667*b97 =L= 20.4166666666667;
e89.. - 0.85*x47 + x48 + 20.4166666666667*b98 =L= 20.4166666666667;
e90.. - 0.98*x47 + x48 + 20.4166666666667*b99 =L= 20.4166666666667;
e91.. - 0.85*x47 + x49 + 20.4166666666667*b96 =L= 20.4166666666667;
e92.. - 0.98*x47 + x49 + 20.4166666666667*b97 =L= 20.4166666666667;
e93.. - 0.85*x47 + x49 + 20.4166666666667*b98 =L= 20.4166666666667;
e94.. - 0.98*x47 + x49 + 20.4166666666667*b99 =L= 20.4166666666667;
e95.. - 0.85*x47 + x48 - 20.4166666666667*b96 =G= -20.4166666666667;
e96.. - 0.98*x47 + x48 - 20.4166666666667*b97 =G= -20.4166666666667;
e97.. - 0.85*x47 + x48 - 20.4166666666667*b98 =G= -20.4166666666667;
e98.. - 0.98*x47 + x48 - 20.4166666666667*b99 =G= -20.4166666666667;
e99.. - 0.85*x47 + x49 - 20.4166666666667*b96 =G= -20.4166666666667;
e100.. - 0.98*x47 + x49 - 20.4166666666667*b97 =G= -20.4166666666667;
e101.. - 0.85*x47 + x49 - 20.4166666666667*b98 =G= -20.4166666666667;
e102.. - 0.98*x47 + x49 - 20.4166666666667*b99 =G= -20.4166666666667;
e103.. - 0.85*x50 + x51 + 18.75*b100 =L= 18.75;
e104.. - 0.9*x50 + x51 + 18.75*b101 =L= 18.75;
e105.. - 0.85*x50 + x51 + 18.75*b102 =L= 18.75;
e106.. - 0.9*x50 + x51 + 18.75*b103 =L= 18.75;
e107.. - 0.85*x50 + x51 - 18.75*b100 =G= -18.75;
e108.. - 0.9*x50 + x51 - 18.75*b101 =G= -18.75;
e109.. - 0.85*x50 + x51 - 18.75*b102 =G= -18.75;
e110.. - 0.9*x50 + x51 - 18.75*b103 =G= -18.75;
e111.. - 0.75*x53 + x54 + 17.8125*b104 =L= 17.8125;
e112.. - 0.95*x53 + x54 + 17.8125*b105 =L= 17.8125;
e113.. - 0.9*x53 + x54 + 17.8125*b106 =L= 17.8125;
e114.. - 0.95*x53 + x54 + 17.8125*b107 =L= 17.8125;
e115.. - 0.75*x53 + x55 + 17.8125*b104 =L= 17.8125;
e116.. - 0.95*x53 + x55 + 17.8125*b105 =L= 17.8125;
e117.. - 0.9*x53 + x55 + 17.8125*b106 =L= 17.8125;
e118.. - 0.95*x53 + x55 + 17.8125*b107 =L= 17.8125;
e119.. - 0.75*x53 + x54 - 17.8125*b104 =G= -17.8125;
e120.. - 0.95*x53 + x54 - 17.8125*b105 =G= -17.8125;
e121.. - 0.9*x53 + x54 - 17.8125*b106 =G= -17.8125;
e122.. - 0.95*x53 + x54 - 17.8125*b107 =G= -17.8125;
e123.. - 0.75*x53 + x55 - 17.8125*b104 =G= -17.8125;
e124.. - 0.95*x53 + x55 - 17.8125*b105 =G= -17.8125;
e125.. - 0.9*x53 + x55 - 17.8125*b106 =G= -17.8125;
e126.. - 0.95*x53 + x55 - 17.8125*b107 =G= -17.8125;
e127.. - 0.8*x52 + x61 + 66.9375*b108 =L= 66.9375;
e128.. - 0.85*x52 + x61 + 66.9375*b109 =L= 66.9375;
e129.. - 0.8*x52 + x61 + 66.9375*b110 =L= 66.9375;
e130.. - 0.85*x52 + x61 + 66.9375*b111 =L= 66.9375;
e131.. - 0.8*x52 + x61 - 15.9375*b108 =G= -15.9375;
e132.. - 0.85*x52 + x61 - 15.9375*b109 =G= -15.9375;
e133.. - 0.8*x52 + x61 - 15.9375*b110 =G= -15.9375;
e134.. - 0.85*x52 + x61 - 15.9375*b111 =G= -15.9375;
e135.. - 0.85*x60 + x63 + 94.4571428571429*b112 =L= 94.4571428571429;
e136.. - 0.95*x60 + x63 + 94.4571428571429*b113 =L= 94.4571428571429;
e137.. - 0.85*x60 + x63 + 94.4571428571429*b114 =L= 94.4571428571429;
e138.. - 0.95*x60 + x63 + 94.4571428571429*b115 =L= 94.4571428571429;
e139.. - 0.85*x60 + x63 - 57*b112 =G= -57;
e140.. - 0.95*x60 + x63 - 57*b113 =G= -57;
e141.. - 0.85*x60 + x63 - 57*b114 =G= -57;
e142.. - 0.95*x60 + x63 - 57*b115 =G= -57;
e143.. - 0.8*x66 + x67 + 39.4285714285714*b116 =L= 39.4285714285714;
e144.. - 0.92*x66 + x67 + 39.4285714285714*b117 =L= 39.4285714285714;
e145.. - 0.8*x66 + x67 + 39.4285714285714*b118 =L= 39.4285714285714;
e146.. - 0.92*x66 + x67 + 39.4285714285714*b119 =L= 39.4285714285714;
e147.. - 0.8*x66 + x67 - 39.4285714285714*b116 =G= -39.4285714285714;
e148.. - 0.92*x66 + x67 - 39.4285714285714*b117 =G= -39.4285714285714;
e149.. - 0.8*x66 + x67 - 39.4285714285714*b118 =G= -39.4285714285714;
e150.. - 0.92*x66 + x67 - 39.4285714285714*b119 =G= -39.4285714285714;
e151.. x3 + 25*b88 =L= 35;
e152.. x3 + 25*b89 =L= 35;
e153.. x3 - 15*b90 =L= 35;
e154.. x3 - 15*b91 =L= 35;
e155.. x4 + x8 + 56*b92 =L= 96;
e156.. x4 + x8 + 56*b93 =L= 96;
e157.. x4 + x8 + 36*b94 =L= 96;
e158.. x4 + x8 + 36*b95 =L= 96;
e159.. x12 + 10*b96 =L= 25;
e160.. x12 + 10*b97 =L= 25;
e161.. x12 =L= 25;
e162.. x12 =L= 25;
e163.. x15 + 10*b100 =L= 25;
e164.. x15 + 10*b101 =L= 25;
e165.. x15 + 5*b102 =L= 25;
e166.. x15 + 5*b103 =L= 25;
e167.. x18 + 15*b104 =L= 25;
e168.. x18 + 15*b105 =L= 25;
e169.. x18 + 5*b106 =L= 25;
e170.. x18 + 5*b107 =L= 25;
e171.. x17 + x24 + 29*b108 =L= 49;
e172.. x17 + x24 + 29*b109 =L= 49;
e173.. x17 + x24 - 6*b110 =L= 49;
e174.. x17 + x24 - 6*b111 =L= 49;
e175.. x25 + x32 + 29*b112 =L= 54;
e176.. x25 + x32 + 29*b113 =L= 54;
e177.. x25 + x32 + 4*b114 =L= 54;
e178.. x25 + x32 + 4*b115 =L= 54;
e179.. x31 + 15*b116 =L= 30;
e180.. x31 + 15*b117 =L= 30;
e181.. x31 - 5*b118 =L= 30;
e182.. x31 - 5*b119 =L= 30;
e183.. x80 + 46*b120 =L= 46;
e184.. x80 + 40*b121 =L= 46;
e185.. x80 + 6*b122 =L= 46;
e186.. x80 =L= 46;
e187.. x81 + 37*b124 =L= 37;
e188.. x81 + 30*b125 =L= 37;
e189.. x81 + 7*b126 =L= 37;
e190.. x81 =L= 37;
e191.. x82 + 22*b128 =L= 22;
e192.. x82 + 15*b129 =L= 22;
e193.. x82 + 7*b130 =L= 22;
e194.. x82 =L= 22;
e195.. x83 + 24*b132 =L= 24;
e196.. x83 + 13*b133 =L= 24;
e197.. x83 + 11*b134 =L= 24;
e198.. x83 =L= 24;
e199.. x84 + 23*b136 =L= 23;
e200.. x84 + 13*b137 =L= 23;
e201.. x84 + 10*b138 =L= 23;
e202.. x84 =L= 23;
e203.. x85 + 39*b140 =L= 39;
e204.. x85 + 30*b141 =L= 39;
e205.. x85 + 9*b142 =L= 39;
e206.. x85 =L= 39;
e207.. x86 + 28*b144 =L= 28;
e208.. x86 + 20*b145 =L= 28;
e209.. x86 + 8*b146 =L= 28;
e210.. x86 =L= 28;
e211.. x87 + 23*b148 =L= 23;
e212.. x87 + 15*b149 =L= 23;
e213.. x87 + 8*b150 =L= 23;
e214.. x87 =L= 23;
e215.. x80 =G= 0;
e216.. x80 - 6*b121 =G= 0;
e217.. x80 - 40*b122 =G= 0;
e218.. x80 - 46*b123 =G= 0;
e219.. x81 =G= 0;
e220.. x81 - 7*b125 =G= 0;
e221.. x81 - 30*b126 =G= 0;
e222.. x81 - 37*b127 =G= 0;
e223.. x82 =G= 0;
e224.. x82 - 7*b129 =G= 0;
e225.. x82 - 15*b130 =G= 0;
e226.. x82 - 22*b131 =G= 0;
e227.. x83 =G= 0;
e228.. x83 - 11*b133 =G= 0;
e229.. x83 - 13*b134 =G= 0;
e230.. x83 - 24*b135 =G= 0;
e231.. x84 =G= 0;
e232.. x84 - 10*b137 =G= 0;
e233.. x84 - 13*b138 =G= 0;
e234.. x84 - 23*b139 =G= 0;
e235.. x85 =G= 0;
e236.. x85 - 9*b141 =G= 0;
e237.. x85 - 30*b142 =G= 0;
e238.. x85 - 39*b143 =G= 0;
e239.. x86 =G= 0;
e240.. x86 - 8*b145 =G= 0;
e241.. x86 - 20*b146 =G= 0;
e242.. x86 - 28*b147 =G= 0;
e243.. x87 =G= 0;
e244.. x87 - 8*b149 =G= 0;
e245.. x87 - 15*b150 =G= 0;
e246.. x87 - 23*b151 =G= 0;
e247.. 4*x2 + 8*x7 + 5*x11 + 8*x23 + 10*x30 + x80 + x81 + x82 + x83 + x84
+ x85 + x86 + x87 =L= 4000;
e248.. b88 + b89 + b90 + b91 =E= 1;
e249.. b92 + b93 + b94 + b95 =E= 1;
e250.. b96 + b97 + b98 + b99 =E= 1;
e251.. b100 + b101 + b102 + b103 =E= 1;
e252.. b104 + b105 + b106 + b107 =E= 1;
e253.. b108 + b109 + b110 + b111 =E= 1;
e254.. b112 + b113 + b114 + b115 =E= 1;
e255.. b116 + b117 + b118 + b119 =E= 1;
e256.. x6 - x33 - x152 =E= 0;
e257.. x10 - x34 - x163 =E= 0;
e258.. x21 - x35 =E= 0;
e259.. x22 - x36 =E= 0;
e260.. x152 - x153 - x154 =E= 0;
e261.. - x155 - x156 + x157 =E= 0;
e262.. x157 - x158 - x159 =E= 0;
e263.. x159 - x160 - x161 - x162 =E= 0;
e264.. x164 - x167 - x168 =E= 0;
e265.. x166 - x169 - x170 - x171 =E= 0;
e266.. -log(1 + x153) + x155 + b177 =L= 1;
e267.. x153 - 10*b177 =L= 0;
e268.. x155 - 2.39789527279837*b177 =L= 0;
e269.. -1.2*log(1 + x154) + x156 + b178 =L= 1;
e270.. x154 - 10*b178 =L= 0;
e271.. x156 - 2.87747432735804*b178 =L= 0;
e272.. - 0.75*x160 + x164 + b179 =L= 1;
e273.. - 0.75*x160 + x164 - b179 =G= -1;
e274.. x160 - 2.87747432735804*b179 =L= 0;
e275.. x164 - 2.15810574551853*b179 =L= 0;
e276.. -1.5*log(1 + x161) + x165 + b180 =L= 1;
e277.. x161 - 2.87747432735804*b180 =L= 0;
e278.. x165 - 2.03277599268042*b180 =L= 0;
e279.. - x162 + x166 + b181 =L= 1;
e280.. - x162 + x166 - b181 =G= -1;
e281.. - 0.5*x163 + x166 + b181 =L= 1;
e282.. - 0.5*x163 + x166 - b181 =G= -1;
e283.. x162 - 2.87747432735804*b181 =L= 0;
e284.. x163 - 7*b181 =L= 0;
e285.. x166 - 3.5*b181 =L= 0;
e286.. -1.25*log(1 + x167) + x172 + b182 =L= 1;
e287.. x167 - 2.15810574551853*b182 =L= 0;
e288.. x172 - 1.43746550029693*b182 =L= 0;
e289.. -0.9*log(1 + x168) + x173 + b183 =L= 1;
e290.. x168 - 2.15810574551853*b183 =L= 0;
e291.. x173 - 1.03497516021379*b183 =L= 0;
e292.. -log(1 + x165) + x174 + b184 =L= 1;
e293.. x165 - 2.03277599268042*b184 =L= 0;
e294.. x174 - 1.10947836929589*b184 =L= 0;
e295.. - 0.9*x169 + x175 + b185 =L= 1;
e296.. - 0.9*x169 + x175 - b185 =G= -1;
e297.. x169 - 3.5*b185 =L= 0;
e298.. x175 - 3.15*b185 =L= 0;
e299.. - 0.6*x170 + x176 + b186 =L= 1;
e300.. - 0.6*x170 + x176 - b186 =G= -1;
e301.. x170 - 3.5*b186 =L= 0;
e302.. x176 - 2.1*b186 =L= 0;
e303.. b177 + b178 =E= 1;
e304.. - b179 + b182 + b183 =G= 0;
e305.. - b180 + b184 =G= 0;
e306.. b177 + b178 - b179 =G= 0;
e307.. b177 + b178 - b180 =G= 0;
e308.. b177 + b178 - b181 =G= 0;
e309.. b179 - b182 =G= 0;
e310.. b179 - b183 =G= 0;
e311.. b180 - b184 =G= 0;
e312.. b181 - b185 =G= 0;
e313.. b181 - b186 =G= 0;
* set non-default bounds
x152.up = 10;
x163.up = 7;
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% maximizing objvar;
Last updated: 2024-04-02 Git hash: 1dd5fb9b