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synheat.gms:

References:

Point: p1 
Best known point (p1): Solution value 154997.33 (global optimum, LINDOGLOBAL certificate)


$offlisting * MINLP written by GAMS Convert at 04/17/01 16:41:21 * * Equation counts * Total E G L N X * 65 21 12 32 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 57 45 12 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 225 197 28 0 * * Solve m using MINLP minimizing objvar; Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,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,objvar; Positive Variables x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39 ,x40; Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12; 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; e1.. 10*x13 - 10*x14 - x25 - x28 =E= 0; e2.. 10*x14 - 10*x15 - x26 - x29 =E= 0; e3.. 20*x16 - 20*x17 - x31 - x34 =E= 0; e4.. 20*x17 - 20*x18 - x32 - x35 =E= 0; e5.. 10*x15 - x37 =E= 3700; e6.. 20*x18 - x38 =E= 7400; e7.. - x25 - x26 - x28 - x29 - x37 =E= -2800; e8.. - x31 - x32 - x34 - x35 - x38 =E= -4400; e9.. 15*x19 - 15*x20 - x25 - x31 =E= 0; e10.. 15*x20 - 15*x21 - x26 - x32 =E= 0; e11.. 13*x22 - 13*x23 - x28 - x34 =E= 0; e12.. 13*x23 - 13*x24 - x29 - x35 =E= 0; e13.. - 15*x19 - x39 =E= -9750; e14.. - 13*x22 - x40 =E= -6500; e15.. - x25 - x26 - x31 - x32 - x39 =E= -3600; e16.. - x28 - x29 - x34 - x35 - x40 =E= -1950; e17.. x13 - x14 =G= 0; e18.. x14 - x15 =G= 0; e19.. x16 - x17 =G= 0; e20.. x17 - x18 =G= 0; e21.. x19 - x20 =G= 0; e22.. x20 - x21 =G= 0; e23.. x22 - x23 =G= 0; e24.. x23 - x24 =G= 0; e25.. x15 =G= 370; e26.. x18 =G= 370; e27.. - x19 =G= -650; e28.. - x22 =G= -500; e29.. - x13 =E= -650; e30.. - x16 =E= -590; e31.. - x21 =E= -410; e32.. - x24 =E= -350; e33.. - 2800*b1 + x25 =L= 0; e34.. - 2800*b2 + x26 =L= 0; e35.. - 1950*b3 + x28 =L= 0; e36.. - 1950*b4 + x29 =L= 0; e37.. - 3600*b5 + x31 =L= 0; e38.. - 3600*b6 + x32 =L= 0; e39.. - 1950*b7 + x34 =L= 0; e40.. - 1950*b8 + x35 =L= 0; e41.. - 3600*b11 + x39 =L= 0; e42.. - 1950*b12 + x40 =L= 0; e43.. - 2800*b9 + x37 =L= 0; e44.. - 4400*b10 + x38 =L= 0; e45.. 280*b1 - x13 + x19 + x41 =L= 280; e46.. 280*b2 - x14 + x20 + x42 =L= 280; e47.. 130*b3 - x13 + x22 + x44 =L= 130; e48.. 130*b4 - x14 + x23 + x45 =L= 130; e49.. 280*b5 - x16 + x19 + x47 =L= 280; e50.. 280*b6 - x17 + x20 + x48 =L= 280; e51.. 130*b7 - x16 + x22 + x50 =L= 130; e52.. 130*b8 - x17 + x23 + x51 =L= 130; e53.. 280*b1 - x14 + x20 + x42 =L= 280; e54.. 280*b2 - x15 + x21 + x43 =L= 280; e55.. 130*b3 - x14 + x23 + x45 =L= 130; e56.. 130*b4 - x15 + x24 + x46 =L= 130; e57.. 280*b5 - x17 + x20 + x48 =L= 280; e58.. 280*b6 - x18 + x21 + x49 =L= 280; e59.. 130*b7 - x17 + x23 + x51 =L= 130; e60.. 130*b8 - x18 + x24 + x52 =L= 130; e61.. - x15 + x53 =L= -320; e62.. - x18 + x54 =L= -320; e63.. x19 + x55 =L= 680; e64.. x22 + x56 =L= 680; e65.. - (150*(2*x25/(1e-6 + (1e-6 + 0.5*x41*x42*(x41 + x42))**0.33333) + 2*x26 /(1e-6 + (1e-6 + 0.5*x42*x43*(x42 + x43))**0.33333) + 2*x28/(1e-6 + (1e-6 + 0.5*x44*x45*(x44 + x45))**0.33333) + 2*x29/(1e-6 + (1e-6 + 0.5*x45*x46 *(x45 + x46))**0.33333) + 2*x31/(1e-6 + (1e-6 + 0.5*x47*x48*(x47 + x48)) **0.33333) + 2*x32/(1e-6 + (1e-6 + 0.5*x48*x49*(x48 + x49))**0.33333) + 2 *x34/(1e-6 + (1e-6 + 0.5*x50*x51*(x50 + x51))**0.33333) + 2*x35/(1e-6 + ( 1e-6 + 0.5*x51*x52*(x51 + x52))**0.33333)) + 150*(1.2*x39/(1e-6 + 30*x55* (15 + 0.5*x55))**0.33333 + 1.2*x40/(1e-6 + 180*x56*(90 + 0.5*x56))** 0.33333) + 150*(2*x37/(1e-6 + 35*x53*(70 + x53))**0.33333 + 2*x38/(1e-6 + 35*x54*(70 + x54))**0.33333) + 80*x39 + 80*x40 + 15*x37 + 15*x38) - 5500*b1 - 5500*b2 - 5500*b3 - 5500*b4 - 5500*b5 - 5500*b6 - 5500*b7 - 5500*b8 - 5500*b9 - 5500*b10 - 5500*b11 - 5500*b12 - 29995.6190569812*x27 - 29995.6190569812*x30 - 29995.6190569812*x33 - 29995.6190569812*x36 + objvar =E= 0.0024; * set non default bounds x13.lo = 370; x13.up = 650; x14.lo = 370; x14.up = 650; x15.lo = 370; x15.up = 650; x16.lo = 370; x16.up = 590; x17.lo = 370; x17.up = 590; x18.lo = 370; x18.up = 590; x19.lo = 410; x19.up = 650; x20.lo = 410; x20.up = 650; x21.lo = 410; x21.up = 650; x22.lo = 350; x22.up = 500; x23.lo = 350; x23.up = 500; x24.lo = 350; x24.up = 500; x41.lo = 10; x42.lo = 10; x43.lo = 10; x44.lo = 10; x45.lo = 10; x46.lo = 10; x47.lo = 10; x48.lo = 10; x49.lo = 10; x50.lo = 10; x51.lo = 10; x52.lo = 10; x53.lo = 10; x54.lo = 10; x55.lo = 10; x56.lo = 10; $if set nostart $goto modeldef * set non default levels x25.l = 2800; x26.l = 2800; x28.l = 1950; x29.l = 1950; x31.l = 3600; x32.l = 3600; x34.l = 1950; x35.l = 1950; x41.l = 240; x42.l = 240; x43.l = 240; x44.l = 300; x45.l = 300; x46.l = 300; x47.l = 180; x48.l = 180; x49.l = 180; x50.l = 240; x51.l = 240; x52.l = 240; x53.l = 330; x54.l = 270; x55.l = 270; x56.l = 330; * 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;