MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance feedtray
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -65.57031214 (ANTIGONE) -68.68413786 (BARON) -68.68420000 (COUENNE) -21.31216102 (GUROBI) -61.93923340 (LINDO) -68.68421053 (SCIP) -75.00000000 (SHOT) -68.68416451 (XPRESS) |
| Referencesⓘ | Viswanathan, J and Grossmann, I E, A Combined Penalty Function and Outer Approximation Method for MINLP Optimization, Computers and Chemical Engineering, 14:7, 1990, 769-782. |
| Sourceⓘ | GAMS Model Library model feedtray |
| Applicationⓘ | Feed Plate Location |
| Added to libraryⓘ | 01 May 2001 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 97 |
| #Binary Variablesⓘ | 7 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 80 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 2 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 91 |
| #Linear Constraintsⓘ | 29 |
| #Quadratic Constraintsⓘ | 26 |
| #Polynomial Constraintsⓘ | 9 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 27 |
| Operands in Gen. Nonlin. Functionsⓘ | div exp mul sqr vcpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 448 |
| #Nonlinear Nonzeros in Jacobianⓘ | 282 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 187 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 9 |
| #Blocks in Hessian of Lagrangianⓘ | 9 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 8 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 9 |
| Average blocksize in Hessian of Lagrangianⓘ | 8.888889 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.2278e-08 |
| Maximal coefficientⓘ | 5.5570e+04 |
| Infeasibility of initial pointⓘ | 85.71 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 92 84 1 7 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 98 91 7 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 451 169 282 0
*
* Solve m using MINLP 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,b91,b92,b93,b94,b95,b96,b97,objvar;
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,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,x63,x64,x65,x66,x67,x68,x69,x82,x83,x84,x85,x86,x87,x88,x89
,x90;
Binary Variables b91,b92,b93,b94,b95,b96,b97;
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;
e1.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x54)**
1.5 + 0.012420366417645*x54 - 2.62863*(1 - 0.00177872643187478*x54)**3 -
3.33399*(1 - 0.00177872643187478*x54)**6))/x54)*x1 + 1.2*x19 =E= 0;
e2.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x54)**1.5
+ 0.0123117100371747*x54 - 2.83433*(1 - 0.00168976005407232*x54)**3 -
2.79168*(1 - 0.00168976005407232*x54)**6))/x54)*x2 + 1.2*x20 =E= 0;
e3.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x55)**
1.5 + 0.012420366417645*x55 - 2.62863*(1 - 0.00177872643187478*x55)**3 -
3.33399*(1 - 0.00177872643187478*x55)**6))/x55)*x3 + 1.12*x21 =E= 0;
e4.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x55)**1.5
+ 0.0123117100371747*x55 - 2.83433*(1 - 0.00168976005407232*x55)**3 -
2.79168*(1 - 0.00168976005407232*x55)**6))/x55)*x4 + 1.12*x22 =E= 0;
e5.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x56)**
1.5 + 0.012420366417645*x56 - 2.62863*(1 - 0.00177872643187478*x56)**3 -
3.33399*(1 - 0.00177872643187478*x56)**6))/x56)*x5 + 1.11333333333333*x23
=E= 0;
e6.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x56)**1.5
+ 0.0123117100371747*x56 - 2.83433*(1 - 0.00168976005407232*x56)**3 -
2.79168*(1 - 0.00168976005407232*x56)**6))/x56)*x6 + 1.11333333333333*x24
=E= 0;
e7.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x57)**
1.5 + 0.012420366417645*x57 - 2.62863*(1 - 0.00177872643187478*x57)**3 -
3.33399*(1 - 0.00177872643187478*x57)**6))/x57)*x7 + 1.10666666666667*x25
=E= 0;
e8.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x57)**1.5
+ 0.0123117100371747*x57 - 2.83433*(1 - 0.00168976005407232*x57)**3 -
2.79168*(1 - 0.00168976005407232*x57)**6))/x57)*x8 + 1.10666666666667*x26
=E= 0;
e9.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x58)**
1.5 + 0.012420366417645*x58 - 2.62863*(1 - 0.00177872643187478*x58)**3 -
3.33399*(1 - 0.00177872643187478*x58)**6))/x58)*x9 + 1.1*x27 =E= 0;
e10.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x58)**1.5
+ 0.0123117100371747*x58 - 2.83433*(1 - 0.00168976005407232*x58)**3 -
2.79168*(1 - 0.00168976005407232*x58)**6))/x58)*x10 + 1.1*x28 =E= 0;
e11.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x59)**
1.5 + 0.012420366417645*x59 - 2.62863*(1 - 0.00177872643187478*x59)**3 -
3.33399*(1 - 0.00177872643187478*x59)**6))/x59)*x11
+ 1.09333333333333*x29 =E= 0;
e12.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x59)**1.5
+ 0.0123117100371747*x59 - 2.83433*(1 - 0.00168976005407232*x59)**3 -
2.79168*(1 - 0.00168976005407232*x59)**6))/x59)*x12
+ 1.09333333333333*x30 =E= 0;
e13.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x60)**
1.5 + 0.012420366417645*x60 - 2.62863*(1 - 0.00177872643187478*x60)**3 -
3.33399*(1 - 0.00177872643187478*x60)**6))/x60)*x13
+ 1.08666666666667*x31 =E= 0;
e14.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x60)**1.5
+ 0.0123117100371747*x60 - 2.83433*(1 - 0.00168976005407232*x60)**3 -
2.79168*(1 - 0.00168976005407232*x60)**6))/x60)*x14
+ 1.08666666666667*x32 =E= 0;
e15.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x61)**
1.5 + 0.012420366417645*x61 - 2.62863*(1 - 0.00177872643187478*x61)**3 -
3.33399*(1 - 0.00177872643187478*x61)**6))/x61)*x15 + 1.08*x33 =E= 0;
e16.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x61)**1.5
+ 0.0123117100371747*x61 - 2.83433*(1 - 0.00168976005407232*x61)**3 -
2.79168*(1 - 0.00168976005407232*x61)**6))/x61)*x16 + 1.08*x34 =E= 0;
e17.. -48.9*exp((-3925.690806 + 562.2*(1.33213*(1 - 0.00177872643187478*x62)**
1.5 + 0.012420366417645*x62 - 2.62863*(1 - 0.00177872643187478*x62)**3 -
3.33399*(1 - 0.00177872643187478*x62)**6))/x62)*x17 + 1.05*x35 =E= 0;
e18.. -41*exp((-4311.896226 + 591.8*(1.38091*(1 - 0.00168976005407232*x62)**1.5
+ 0.0123117100371747*x62 - 2.83433*(1 - 0.00168976005407232*x62)**3 -
2.79168*(1 - 0.00168976005407232*x62)**6))/x62)*x18 + 1.05*x36 =E= 0;
e19.. - x1 - x2 + x19 + x20 =E= 0;
e20.. - x3 - x4 + x21 + x22 =E= 0;
e21.. - x5 - x6 + x23 + x24 =E= 0;
e22.. - x7 - x8 + x25 + x26 =E= 0;
e23.. - x9 - x10 + x27 + x28 =E= 0;
e24.. - x11 - x12 + x29 + x30 =E= 0;
e25.. - x13 - x14 + x31 + x32 =E= 0;
e26.. - x15 - x16 + x33 + x34 =E= 0;
e27.. - x17 - x18 + x35 + x36 =E= 0;
e28.. x38*x3 + x47*x21 - x39*x5 - x46*x19 - 0.7*x63 =E= 0;
e29.. x38*x4 + x47*x22 - x39*x6 - x46*x20 - 0.3*x63 =E= 0;
e30.. x39*x5 + x48*x23 - x40*x7 - x47*x21 - 0.7*x64 =E= 0;
e31.. x39*x6 + x48*x24 - x40*x8 - x47*x22 - 0.3*x64 =E= 0;
e32.. x40*x7 + x49*x25 - x41*x9 - x48*x23 - 0.7*x65 =E= 0;
e33.. x40*x8 + x49*x26 - x41*x10 - x48*x24 - 0.3*x65 =E= 0;
e34.. x41*x9 + x50*x27 - x42*x11 - x49*x25 - 0.7*x66 =E= 0;
e35.. x41*x10 + x50*x28 - x42*x12 - x49*x26 - 0.3*x66 =E= 0;
e36.. x42*x11 + x51*x29 - x43*x13 - x50*x27 - 0.7*x67 =E= 0;
e37.. x42*x12 + x51*x30 - x43*x14 - x50*x28 - 0.3*x67 =E= 0;
e38.. x43*x13 + x52*x31 - x44*x15 - x51*x29 - 0.7*x68 =E= 0;
e39.. x43*x14 + x52*x32 - x44*x16 - x51*x30 - 0.3*x68 =E= 0;
e40.. x44*x15 + x53*x33 - x45*x17 - x52*x31 - 0.7*x69 =E= 0;
e41.. x44*x16 + x53*x34 - x45*x18 - x52*x32 - 0.3*x69 =E= 0;
e42.. x37*x1 + x46*x19 - x38*x3 =E= 0;
e43.. x37*x2 + x46*x20 - x38*x4 =E= 0;
e44.. (x45 + x71)*x17 - x53*x33 =E= 0;
e45.. (x45 + x71)*x18 - x53*x34 =E= 0;
e46.. x38 - x39 - x46 + x47 - x63 =E= 0;
e47.. x39 - x40 - x47 + x48 - x64 =E= 0;
e48.. x40 - x41 - x48 + x49 - x65 =E= 0;
e49.. x41 - x42 - x49 + x50 - x66 =E= 0;
e50.. x42 - x43 - x50 + x51 - x67 =E= 0;
e51.. x43 - x44 - x51 + x52 - x68 =E= 0;
e52.. x44 - x45 - x52 + x53 - x69 =E= 0;
e53.. x37 - x38 + x46 =E= 0;
e54.. x45 - x53 + x71 =E= 0;
e55.. -x70*x71 + x45 =E= 0;
e56.. x37 - x72 =E= 0;
e57.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x54*(-
0.000100566666666667 + 1.7825e-8*x54))*x54)*x54 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x54)**1.5 + 0.012420366417645*x54 - 2.62863*(1 -
0.00177872643187478*x54)**3 - 3.33399*(1 - 0.00177872643187478*x54)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x54)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x54) - 20.00394*(1 -
0.00177872643187478*x54)**5)*x54)*x1 + (-55570.3234397208 + (-24.35 + (
0.25625 + x54*(-9.21666666666667e-5 + 1.22775e-8*x54))*x54)*x54 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x54)**1.5 +
0.0123117100371747*x54 - 2.83433*(1 - 0.00168976005407232*x54)**3 -
2.79168*(1 - 0.00168976005407232*x54)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x54)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x54) - 16.75008*(1 - 0.00168976005407232*x54)**5)*x54)*x2) + x73 =E= 0;
e58.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x55*(-
0.000100566666666667 + 1.7825e-8*x55))*x55)*x55 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x55)**1.5 + 0.012420366417645*x55 - 2.62863*(1 -
0.00177872643187478*x55)**3 - 3.33399*(1 - 0.00177872643187478*x55)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x55)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x55) - 20.00394*(1 -
0.00177872643187478*x55)**5)*x55)*x3 + (-55570.3234397208 + (-24.35 + (
0.25625 + x55*(-9.21666666666667e-5 + 1.22775e-8*x55))*x55)*x55 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x55)**1.5 +
0.0123117100371747*x55 - 2.83433*(1 - 0.00168976005407232*x55)**3 -
2.79168*(1 - 0.00168976005407232*x55)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x55)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x55) - 16.75008*(1 - 0.00168976005407232*x55)**5)*x55)*x4) + x74 =E= 0;
e59.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x56*(-
0.000100566666666667 + 1.7825e-8*x56))*x56)*x56 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x56)**1.5 + 0.012420366417645*x56 - 2.62863*(1 -
0.00177872643187478*x56)**3 - 3.33399*(1 - 0.00177872643187478*x56)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x56)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x56) - 20.00394*(1 -
0.00177872643187478*x56)**5)*x56)*x5 + (-55570.3234397208 + (-24.35 + (
0.25625 + x56*(-9.21666666666667e-5 + 1.22775e-8*x56))*x56)*x56 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x56)**1.5 +
0.0123117100371747*x56 - 2.83433*(1 - 0.00168976005407232*x56)**3 -
2.79168*(1 - 0.00168976005407232*x56)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x56)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x56) - 16.75008*(1 - 0.00168976005407232*x56)**5)*x56)*x6) + x75 =E= 0;
e60.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x57*(-
0.000100566666666667 + 1.7825e-8*x57))*x57)*x57 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x57)**1.5 + 0.012420366417645*x57 - 2.62863*(1 -
0.00177872643187478*x57)**3 - 3.33399*(1 - 0.00177872643187478*x57)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x57)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x57) - 20.00394*(1 -
0.00177872643187478*x57)**5)*x57)*x7 + (-55570.3234397208 + (-24.35 + (
0.25625 + x57*(-9.21666666666667e-5 + 1.22775e-8*x57))*x57)*x57 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x57)**1.5 +
0.0123117100371747*x57 - 2.83433*(1 - 0.00168976005407232*x57)**3 -
2.79168*(1 - 0.00168976005407232*x57)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x57)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x57) - 16.75008*(1 - 0.00168976005407232*x57)**5)*x57)*x8) + x76 =E= 0;
e61.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x58*(-
0.000100566666666667 + 1.7825e-8*x58))*x58)*x58 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x58)**1.5 + 0.012420366417645*x58 - 2.62863*(1 -
0.00177872643187478*x58)**3 - 3.33399*(1 - 0.00177872643187478*x58)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x58)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x58) - 20.00394*(1 -
0.00177872643187478*x58)**5)*x58)*x9 + (-55570.3234397208 + (-24.35 + (
0.25625 + x58*(-9.21666666666667e-5 + 1.22775e-8*x58))*x58)*x58 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x58)**1.5 +
0.0123117100371747*x58 - 2.83433*(1 - 0.00168976005407232*x58)**3 -
2.79168*(1 - 0.00168976005407232*x58)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x58)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x58) - 16.75008*(1 - 0.00168976005407232*x58)**5)*x58)*x10) + x77 =E= 0;
e62.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x59*(-
0.000100566666666667 + 1.7825e-8*x59))*x59)*x59 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x59)**1.5 + 0.012420366417645*x59 - 2.62863*(1 -
0.00177872643187478*x59)**3 - 3.33399*(1 - 0.00177872643187478*x59)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x59)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x59) - 20.00394*(1 -
0.00177872643187478*x59)**5)*x59)*x11 + (-55570.3234397208 + (-24.35 + (
0.25625 + x59*(-9.21666666666667e-5 + 1.22775e-8*x59))*x59)*x59 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x59)**1.5 +
0.0123117100371747*x59 - 2.83433*(1 - 0.00168976005407232*x59)**3 -
2.79168*(1 - 0.00168976005407232*x59)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x59)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x59) - 16.75008*(1 - 0.00168976005407232*x59)**5)*x59)*x12) + x78 =E= 0;
e63.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x60*(-
0.000100566666666667 + 1.7825e-8*x60))*x60)*x60 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x60)**1.5 + 0.012420366417645*x60 - 2.62863*(1 -
0.00177872643187478*x60)**3 - 3.33399*(1 - 0.00177872643187478*x60)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x60)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x60) - 20.00394*(1 -
0.00177872643187478*x60)**5)*x60)*x13 + (-55570.3234397208 + (-24.35 + (
0.25625 + x60*(-9.21666666666667e-5 + 1.22775e-8*x60))*x60)*x60 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x60)**1.5 +
0.0123117100371747*x60 - 2.83433*(1 - 0.00168976005407232*x60)**3 -
2.79168*(1 - 0.00168976005407232*x60)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x60)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x60) - 16.75008*(1 - 0.00168976005407232*x60)**5)*x60)*x14) + x79 =E= 0;
e64.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x61*(-
0.000100566666666667 + 1.7825e-8*x61))*x61)*x61 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x61)**1.5 + 0.012420366417645*x61 - 2.62863*(1 -
0.00177872643187478*x61)**3 - 3.33399*(1 - 0.00177872643187478*x61)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x61)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x61) - 20.00394*(1 -
0.00177872643187478*x61)**5)*x61)*x15 + (-55570.3234397208 + (-24.35 + (
0.25625 + x61*(-9.21666666666667e-5 + 1.22775e-8*x61))*x61)*x61 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x61)**1.5 +
0.0123117100371747*x61 - 2.83433*(1 - 0.00168976005407232*x61)**3 -
2.79168*(1 - 0.00168976005407232*x61)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x61)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x61) - 16.75008*(1 - 0.00168976005407232*x61)**5)*x61)*x16) + x80 =E= 0;
e65.. -3.13659116407937e-5*((-46242.079590558 + (-33.92 + (0.23695 + x62*(-
0.000100566666666667 + 1.7825e-8*x62))*x62)*x62 + 4674.1308*(1.33213*(1
- 0.00177872643187478*x62)**1.5 + 0.012420366417645*x62 - 2.62863*(1 -
0.00177872643187478*x62)**3 - 3.33399*(1 - 0.00177872643187478*x62)**6)
+ 8.314*(-6.98273 + 1.998195*(1 - 0.00177872643187478*x62)**0.5 -
7.88589*sqr(1 - 0.00177872643187478*x62) - 20.00394*(1 -
0.00177872643187478*x62)**5)*x62)*x17 + (-55570.3234397208 + (-24.35 + (
0.25625 + x62*(-9.21666666666667e-5 + 1.22775e-8*x62))*x62)*x62 +
4920.2252*(1.38091*(1 - 0.00168976005407232*x62)**1.5 +
0.0123117100371747*x62 - 2.83433*(1 - 0.00168976005407232*x62)**3 -
2.79168*(1 - 0.00168976005407232*x62)**6) + 8.314*(-7.28607 + 2.071365*(1
- 0.00168976005407232*x62)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*
x62) - 16.75008*(1 - 0.00168976005407232*x62)**5)*x62)*x18) + x81 =E= 0;
e66.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x54*(-
0.000100566666666667 + 1.7825e-8*x54))*x54)*x54)*x19 + (-19721.2182167568
+ (-24.35 + (0.25625 + x54*(-9.21666666666667e-5 + 1.22775e-8*x54))*x54)
*x54)*x20) + x82 =E= 0;
e67.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x55*(-
0.000100566666666667 + 1.7825e-8*x55))*x55)*x55)*x21 + (-19721.2182167568
+ (-24.35 + (0.25625 + x55*(-9.21666666666667e-5 + 1.22775e-8*x55))*x55)
*x55)*x22) + x83 =E= 0;
e68.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x56*(-
0.000100566666666667 + 1.7825e-8*x56))*x56)*x56)*x23 + (-19721.2182167568
+ (-24.35 + (0.25625 + x56*(-9.21666666666667e-5 + 1.22775e-8*x56))*x56)
*x56)*x24) + x84 =E= 0;
e69.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x57*(-
0.000100566666666667 + 1.7825e-8*x57))*x57)*x57)*x25 + (-19721.2182167568
+ (-24.35 + (0.25625 + x57*(-9.21666666666667e-5 + 1.22775e-8*x57))*x57)
*x57)*x26) + x85 =E= 0;
e70.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x58*(-
0.000100566666666667 + 1.7825e-8*x58))*x58)*x58)*x27 + (-19721.2182167568
+ (-24.35 + (0.25625 + x58*(-9.21666666666667e-5 + 1.22775e-8*x58))*x58)
*x58)*x28) + x86 =E= 0;
e71.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x59*(-
0.000100566666666667 + 1.7825e-8*x59))*x59)*x59)*x29 + (-19721.2182167568
+ (-24.35 + (0.25625 + x59*(-9.21666666666667e-5 + 1.22775e-8*x59))*x59)
*x59)*x30) + x87 =E= 0;
e72.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x60*(-
0.000100566666666667 + 1.7825e-8*x60))*x60)*x60)*x31 + (-19721.2182167568
+ (-24.35 + (0.25625 + x60*(-9.21666666666667e-5 + 1.22775e-8*x60))*x60)
*x60)*x32) + x88 =E= 0;
e73.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x61*(-
0.000100566666666667 + 1.7825e-8*x61))*x61)*x61)*x33 + (-19721.2182167568
+ (-24.35 + (0.25625 + x61*(-9.21666666666667e-5 + 1.22775e-8*x61))*x61)
*x61)*x34) + x89 =E= 0;
e74.. -3.13659116407937e-5*((-13603.886229474 + (-33.92 + (0.23695 + x62*(-
0.000100566666666667 + 1.7825e-8*x62))*x62)*x62)*x35 + (-19721.2182167568
+ (-24.35 + (0.25625 + x62*(-9.21666666666667e-5 + 1.22775e-8*x62))*x62)
*x62)*x36) + x90 =E= 0;
e75.. x38*x74 + x47*x83 - x39*x75 - x46*x82 + 0.999444137682208*x63 =E= 0;
e76.. x39*x75 + x48*x84 - x40*x76 - x47*x83 + 0.999444137682208*x64 =E= 0;
e77.. x40*x76 + x49*x85 - x41*x77 - x48*x84 + 0.999444137682208*x65 =E= 0;
e78.. x41*x77 + x50*x86 - x42*x78 - x49*x85 + 0.999444137682208*x66 =E= 0;
e79.. x42*x78 + x51*x87 - x43*x79 - x50*x86 + 0.999444137682208*x67 =E= 0;
e80.. x43*x79 + x52*x88 - x44*x80 - x51*x87 + 0.999444137682208*x68 =E= 0;
e81.. x44*x80 + x53*x89 - x45*x81 - x52*x88 + 0.999444137682208*x69 =E= 0;
e82.. x17 =G= 0.95;
e83.. x63 + x64 + x65 + x66 + x67 + x68 + x69 =E= 100;
e84.. b91 + b92 + b93 + b94 + b95 + b96 + b97 =E= 1;
e85.. x63 - 100*b91 =L= 0;
e86.. x64 - 100*b92 =L= 0;
e87.. x65 - 100*b93 =L= 0;
e88.. x66 - 100*b94 =L= 0;
e89.. x67 - 100*b95 =L= 0;
e90.. x68 - 100*b96 =L= 0;
e91.. x69 - 100*b97 =L= 0;
e92.. 50*x70 - x71 - objvar =E= 0;
* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x54.lo = 345; x54.up = 390;
x55.lo = 345; x55.up = 390;
x56.lo = 345; x56.up = 390;
x57.lo = 345; x57.up = 390;
x58.lo = 345; x58.up = 390;
x59.lo = 345; x59.up = 390;
x60.lo = 345; x60.up = 390;
x61.lo = 345; x61.up = 390;
x62.lo = 345; x62.up = 390;
x63.up = 100;
x64.up = 100;
x65.up = 100;
x66.up = 100;
x67.up = 100;
x68.up = 100;
x69.up = 100;
x70.lo = 0.1; x70.up = 0.95;
x71.lo = 50; x71.up = 80;
x72.lo = 20; x72.up = 50;
x73.lo = -1.5; x73.up = -0.496714536653818;
x74.lo = -1.5; x74.up = -0.496714536653818;
x75.lo = -1.5; x75.up = -0.496714536653818;
x76.lo = -1.5; x76.up = -0.496714536653818;
x77.lo = -1.5; x77.up = -0.496714536653818;
x78.lo = -1.5; x78.up = -0.496714536653818;
x79.lo = -1.5; x79.up = -0.496714536653818;
x80.lo = -1.5; x80.up = -0.496714536653818;
x81.lo = -1.5; x81.up = -0.496714536653818;
x82.up = 0.151822697193183;
x83.up = 0.151822697193183;
x84.up = 0.151822697193183;
x85.up = 0.151822697193183;
x86.up = 0.151822697193183;
x87.up = 0.151822697193183;
x88.up = 0.151822697193183;
x89.up = 0.151822697193183;
x90.up = 0.151822697193183;
* set non-default levels
x1.l = 0.4;
x2.l = 0.6;
x3.l = 0.4625;
x4.l = 0.5375;
x5.l = 0.525;
x6.l = 0.475;
x7.l = 0.5875;
x8.l = 0.4125;
x9.l = 0.65;
x10.l = 0.35;
x11.l = 0.7125;
x12.l = 0.2875;
x13.l = 0.775;
x14.l = 0.225;
x15.l = 0.8375;
x16.l = 0.1625;
x17.l = 0.9;
x18.l = 0.1;
x19.l = 0.2;
x20.l = 0.8;
x21.l = 0.3;
x22.l = 0.7;
x23.l = 0.4;
x24.l = 0.6;
x25.l = 0.5;
x26.l = 0.5;
x27.l = 0.6;
x28.l = 0.4;
x29.l = 0.7;
x30.l = 0.3;
x31.l = 0.8;
x32.l = 0.2;
x33.l = 0.9;
x34.l = 0.1;
x35.l = 1;
x37.l = 40;
x38.l = 127;
x39.l = 127;
x40.l = 127;
x41.l = 127;
x42.l = 127;
x43.l = 27;
x44.l = 27;
x45.l = 27;
x46.l = 87;
x47.l = 87;
x48.l = 87;
x49.l = 87;
x50.l = 87;
x51.l = 87;
x52.l = 87;
x53.l = 87;
x54.l = 380;
x55.l = 375;
x56.l = 372.5;
x57.l = 370;
x58.l = 367.5;
x59.l = 365;
x60.l = 362.5;
x61.l = 360;
x62.l = 355;
x63.l = 14.2857142857143;
x64.l = 14.2857142857143;
x65.l = 14.2857142857143;
x66.l = 14.2857142857143;
x67.l = 14.2857142857143;
x68.l = 14.2857142857143;
x69.l = 14.2857142857143;
x70.l = 0.45;
x71.l = 60;
x72.l = 40;
x73.l = -0.954871459437791;
x74.l = -0.972170917937763;
x75.l = -0.977321724319633;
x76.l = -0.982151492959225;
x77.l = -0.986662793667597;
x78.l = -0.990858232660528;
x79.l = -0.994740453837617;
x80.l = -0.998312139997537;
x81.l = -1.01209290612999;
x82.l = 0.0971285302367615;
x83.l = 0.0755763285867959;
x84.l = 0.0644929360644884;
x85.l = 0.0538822972811403;
x86.l = 0.0437417989462674;
x87.l = 0.0340688284351046;
x88.l = 0.0248607738701702;
x89.l = 0.0161150242028288;
b91.l = 0.142857142857143;
b92.l = 0.142857142857143;
b93.l = 0.142857142857143;
b94.l = 0.142857142857143;
b95.l = 0.142857142857143;
b96.l = 0.142857142857143;
b97.l = 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: 2025-08-07 Git hash: e62cedfc