feedtray.gms

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feedtray.gms:

References:

GAMS Development, GAMS Model Library.
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.
Original source: GAMS model feedtray.gms from Gams Model Library

Point: p1
Best known point (p1): Solution value -13.41 (global optimum, BARON certificate)

$offlisting * MINLP written by GAMS Convert at 05/14/01 17:28:54 * * Equation counts * Total E G L N X * 92 84 1 7 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 0 0 0 0 0 0 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*x1*exp((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) - 3925.690806)/x54) + 1.2*x19 =E= 0; e2.. - 41*x2*exp((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) - 4311.896226)/x54) + 1.2*x20 =E= 0; e3.. - 48.9*x3*exp((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) - 3925.690806)/x55) + 1.12*x21 =E= 0; e4.. - 41*x4*exp((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) - 4311.896226)/x55) + 1.12*x22 =E= 0; e5.. - 48.9*x5*exp((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) - 3925.690806)/x56) + 1.11333333333333*x23 =E= 0; e6.. - 41*x6*exp((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) - 4311.896226)/x56) + 1.11333333333333*x24 =E= 0; e7.. - 48.9*x7*exp((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) - 3925.690806)/x57) + 1.10666666666667*x25 =E= 0; e8.. - 41*x8*exp((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) - 4311.896226)/x57) + 1.10666666666667*x26 =E= 0; e9.. - 48.9*x9*exp((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) - 3925.690806)/x58) + 1.1*x27 =E= 0; e10.. - 41*x10*exp((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) - 4311.896226)/x58) + 1.1*x28 =E= 0; e11.. - 48.9*x11*exp((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) - 3925.690806)/x59) + 1.09333333333333*x29 =E= 0; e12.. - 41*x12*exp((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) - 4311.896226)/x59) + 1.09333333333333*x30 =E= 0; e13.. - 48.9*x13*exp((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) - 3925.690806)/x60) + 1.08666666666667*x31 =E= 0; e14.. - 41*x14*exp((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) - 4311.896226)/x60) + 1.08666666666667*x32 =E= 0; e15.. - 48.9*x15*exp((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) - 3925.690806)/x61) + 1.08*x33 =E= 0; e16.. - 41*x16*exp((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) - 4311.896226)/x61) + 1.08*x34 =E= 0; e17.. - 48.9*x17*exp((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) - 3925.690806)/x62) + 1.05*x35 =E= 0; e18.. - 41*x18*exp((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) - 4311.896226)/x62) + 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*(x1*(x54*(x54*(0.23695 + x54*(1.7825e-8*x54 - 0.000100566666666667)) - 33.92) + 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*x54*(1.998195*(1 - 0.00177872643187478*x54)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x54) - 20.00394*(1 - 0.00177872643187478*x54)**5 - 6.98273) - 46242.079590558) + x2*(x54*(x54*(0.25625 + x54*(1.22775e-8* x54 - 9.21666666666667e-5)) - 24.35) + 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*x54*(2.071365*(1 - 0.00168976005407232*x54)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x54) - 16.75008*(1 - 0.00168976005407232*x54)**5 - 7.28607) - 55570.3234397208)) + x73 =E= 0; e58.. - 3.13659116407937e-5*(x3*(x55*(x55*(0.23695 + x55*(1.7825e-8*x55 - 0.000100566666666667)) - 33.92) + 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*x55*(1.998195*(1 - 0.00177872643187478*x55)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x55) - 20.00394*(1 - 0.00177872643187478*x55)**5 - 6.98273) - 46242.079590558) + x4*(x55*(x55*(0.25625 + x55*(1.22775e-8* x55 - 9.21666666666667e-5)) - 24.35) + 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*x55*(2.071365*(1 - 0.00168976005407232*x55)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x55) - 16.75008*(1 - 0.00168976005407232*x55)**5 - 7.28607) - 55570.3234397208)) + x74 =E= 0; e59.. - 3.13659116407937e-5*(x5*(x56*(x56*(0.23695 + x56*(1.7825e-8*x56 - 0.000100566666666667)) - 33.92) + 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*x56*(1.998195*(1 - 0.00177872643187478*x56)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x56) - 20.00394*(1 - 0.00177872643187478*x56)**5 - 6.98273) - 46242.079590558) + x6*(x56*(x56*(0.25625 + x56*(1.22775e-8* x56 - 9.21666666666667e-5)) - 24.35) + 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*x56*(2.071365*(1 - 0.00168976005407232*x56)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x56) - 16.75008*(1 - 0.00168976005407232*x56)**5 - 7.28607) - 55570.3234397208)) + x75 =E= 0; e60.. - 3.13659116407937e-5*(x7*(x57*(x57*(0.23695 + x57*(1.7825e-8*x57 - 0.000100566666666667)) - 33.92) + 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*x57*(1.998195*(1 - 0.00177872643187478*x57)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x57) - 20.00394*(1 - 0.00177872643187478*x57)**5 - 6.98273) - 46242.079590558) + x8*(x57*(x57*(0.25625 + x57*(1.22775e-8* x57 - 9.21666666666667e-5)) - 24.35) + 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*x57*(2.071365*(1 - 0.00168976005407232*x57)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x57) - 16.75008*(1 - 0.00168976005407232*x57)**5 - 7.28607) - 55570.3234397208)) + x76 =E= 0; e61.. - 3.13659116407937e-5*(x9*(x58*(x58*(0.23695 + x58*(1.7825e-8*x58 - 0.000100566666666667)) - 33.92) + 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*x58*(1.998195*(1 - 0.00177872643187478*x58)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x58) - 20.00394*(1 - 0.00177872643187478*x58)**5 - 6.98273) - 46242.079590558) + x10*(x58*(x58*(0.25625 + x58*(1.22775e-8 *x58 - 9.21666666666667e-5)) - 24.35) + 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*x58*(2.071365*(1 - 0.00168976005407232*x58)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x58) - 16.75008*(1 - 0.00168976005407232*x58)**5 - 7.28607) - 55570.3234397208)) + x77 =E= 0; e62.. - 3.13659116407937e-5*(x11*(x59*(x59*(0.23695 + x59*(1.7825e-8*x59 - 0.000100566666666667)) - 33.92) + 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*x59*(1.998195*(1 - 0.00177872643187478*x59)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x59) - 20.00394*(1 - 0.00177872643187478*x59)**5 - 6.98273) - 46242.079590558) + x12*(x59*(x59*(0.25625 + x59*(1.22775e-8 *x59 - 9.21666666666667e-5)) - 24.35) + 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*x59*(2.071365*(1 - 0.00168976005407232*x59)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x59) - 16.75008*(1 - 0.00168976005407232*x59)**5 - 7.28607) - 55570.3234397208)) + x78 =E= 0; e63.. - 3.13659116407937e-5*(x13*(x60*(x60*(0.23695 + x60*(1.7825e-8*x60 - 0.000100566666666667)) - 33.92) + 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*x60*(1.998195*(1 - 0.00177872643187478*x60)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x60) - 20.00394*(1 - 0.00177872643187478*x60)**5 - 6.98273) - 46242.079590558) + x14*(x60*(x60*(0.25625 + x60*(1.22775e-8 *x60 - 9.21666666666667e-5)) - 24.35) + 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*x60*(2.071365*(1 - 0.00168976005407232*x60)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x60) - 16.75008*(1 - 0.00168976005407232*x60)**5 - 7.28607) - 55570.3234397208)) + x79 =E= 0; e64.. - 3.13659116407937e-5*(x15*(x61*(x61*(0.23695 + x61*(1.7825e-8*x61 - 0.000100566666666667)) - 33.92) + 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*x61*(1.998195*(1 - 0.00177872643187478*x61)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x61) - 20.00394*(1 - 0.00177872643187478*x61)**5 - 6.98273) - 46242.079590558) + x16*(x61*(x61*(0.25625 + x61*(1.22775e-8 *x61 - 9.21666666666667e-5)) - 24.35) + 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*x61*(2.071365*(1 - 0.00168976005407232*x61)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x61) - 16.75008*(1 - 0.00168976005407232*x61)**5 - 7.28607) - 55570.3234397208)) + x80 =E= 0; e65.. - 3.13659116407937e-5*(x17*(x62*(x62*(0.23695 + x62*(1.7825e-8*x62 - 0.000100566666666667)) - 33.92) + 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*x62*(1.998195*(1 - 0.00177872643187478*x62)**0.5 - 7.88589*sqr(1 - 0.00177872643187478*x62) - 20.00394*(1 - 0.00177872643187478*x62)**5 - 6.98273) - 46242.079590558) + x18*(x62*(x62*(0.25625 + x62*(1.22775e-8 *x62 - 9.21666666666667e-5)) - 24.35) + 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*x62*(2.071365*(1 - 0.00168976005407232*x62)**0.5 - 8.50299*sqr(1 - 0.00168976005407232*x62) - 16.75008*(1 - 0.00168976005407232*x62)**5 - 7.28607) - 55570.3234397208)) + x81 =E= 0; e66.. - 3.13659116407937e-5*(x19*(x54*(x54*(0.23695 + x54*(1.7825e-8*x54 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x20*(x54*(x54*( 0.25625 + x54*(1.22775e-8*x54 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x82 =E= 0; e67.. - 3.13659116407937e-5*(x21*(x55*(x55*(0.23695 + x55*(1.7825e-8*x55 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x22*(x55*(x55*( 0.25625 + x55*(1.22775e-8*x55 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x83 =E= 0; e68.. - 3.13659116407937e-5*(x23*(x56*(x56*(0.23695 + x56*(1.7825e-8*x56 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x24*(x56*(x56*( 0.25625 + x56*(1.22775e-8*x56 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x84 =E= 0; e69.. - 3.13659116407937e-5*(x25*(x57*(x57*(0.23695 + x57*(1.7825e-8*x57 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x26*(x57*(x57*( 0.25625 + x57*(1.22775e-8*x57 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x85 =E= 0; e70.. - 3.13659116407937e-5*(x27*(x58*(x58*(0.23695 + x58*(1.7825e-8*x58 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x28*(x58*(x58*( 0.25625 + x58*(1.22775e-8*x58 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x86 =E= 0; e71.. - 3.13659116407937e-5*(x29*(x59*(x59*(0.23695 + x59*(1.7825e-8*x59 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x30*(x59*(x59*( 0.25625 + x59*(1.22775e-8*x59 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x87 =E= 0; e72.. - 3.13659116407937e-5*(x31*(x60*(x60*(0.23695 + x60*(1.7825e-8*x60 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x32*(x60*(x60*( 0.25625 + x60*(1.22775e-8*x60 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x88 =E= 0; e73.. - 3.13659116407937e-5*(x33*(x61*(x61*(0.23695 + x61*(1.7825e-8*x61 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x34*(x61*(x61*( 0.25625 + x61*(1.22775e-8*x61 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + x89 =E= 0; e74.. - 3.13659116407937e-5*(x35*(x62*(x62*(0.23695 + x62*(1.7825e-8*x62 - 0.000100566666666667)) - 33.92) - 13603.886229474) + x36*(x62*(x62*( 0.25625 + x62*(1.22775e-8*x62 - 9.21666666666667e-5)) - 24.35) - 19721.2182167568)) + 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; objvar.lo = -100; $if set nostart $goto modeldef * 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; * set non default marginals $label modeldef Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set MINLP $set MINLP MINLP Solve m using %MINLP% minimizing objvar;