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st_e31.gms:

Reference:

Point: p1 
Best known point (p1): Solution value -2.00 (global optimum, BARON certificate)


$offlisting * MINLP written by GAMS Convert at 08/29/02 11:35:05 * * Equation counts * Total E G L N X C * 136 82 28 26 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 113 89 24 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 314 300 14 0 * * Solve m using MINLP minimizing objvar; Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19 ,b20,b21,b22,b23,b24,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,objvar; Negative Variables x45,x57,x62,x64,x66,x68,x70,x72,x74,x76,x78,x80,x82,x84; Positive Variables x35,x36,x37,x63,x65,x67,x69,x71,x73,x75,x77,x79,x81,x83,x85 ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x102,x103,x104,x105 ,x109,x110,x111,x112; Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17 ,b18,b19,b20,b21,b22,b23,b24; 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; e1.. - x36*x31 - x25 + x27 =E= 0; e2.. - x36*x32 - x26 + x28 =E= 0; e3.. (-x37*x31) - x35*x33 - x25 + x29 =E= 0; e4.. (-x37*x32) - x35*x34 - x26 + x30 =E= 0; e5.. sqr(x31) + sqr(x32) =E= 1; e6.. x32 + x33 =E= 0; e7.. - x31 + x34 =E= 0; e8.. - x36 + x112 =L= 0; e9.. - x35 + x112 =L= 0; e10.. - x25 - x50 =E= 0; e11.. - x25 + x39 =E= 1; e12.. - x25 + 0.8944*x40 - 0.4472*x52 =E= 1; e13.. - x25 - 0.8944*x41 - 0.4772*x53 =E= 1; e14.. - x27 - x54 =E= 0; e15.. - x27 + x43 =E= 1; e16.. - x27 + 0.8944*x44 - 0.4472*x56 =E= 1; e17.. - x27 - 0.8944*x45 - 0.4772*x57 =E= 1; e18.. - x29 - x58 =E= 0; e19.. - x29 + x47 =E= 1; e20.. - x29 + 0.8944*x48 - 0.4472*x60 =E= 1; e21.. - x29 - 0.8944*x49 - 0.4772*x61 =E= 1; e22.. - x26 + x38 =E= 1; e23.. - x26 + x51 =E= 0; e24.. - x26 + 0.4472*x40 + 0.8944*x52 =E= 0; e25.. - x26 + 0.4772*x41 - 0.8944*x53 =E= 0; e26.. - x28 + x42 =E= 1; e27.. - x28 + x55 =E= 0; e28.. - x28 + 0.4472*x44 + 0.8944*x56 =E= 0; e29.. - x28 + 0.4772*x45 - 0.8944*x57 =E= 0; e30.. - x30 + x46 =E= 1; e31.. - x30 + x59 =E= 0; e32.. - x30 + 0.4472*x48 + 0.8944*x60 =E= 0; e33.. - x30 + 0.4772*x49 - 0.8944*x61 =E= 0; e34.. - 3.5*b1 - x62 =L= 0; e35.. - 3.5*b3 - x64 =L= 0; e36.. - 3.5*b5 - x66 =L= 0; e37.. - 3.5*b7 - x68 =L= 0; e38.. - 3.5*b9 - x70 =L= 0; e39.. - 3.5*b11 - x72 =L= 0; e40.. - 3.5*b13 - x74 =L= 0; e41.. - 3.5*b15 - x76 =L= 0; e42.. - 3.5*b17 - x78 =L= 0; e43.. - 3.5*b19 - x80 =L= 0; e44.. - 3.5*b21 - x82 =L= 0; e45.. - 3.5*b23 - x84 =L= 0; e46.. - x63 =L= 0; e47.. - x65 =L= 0; e48.. - x67 =L= 0; e49.. - x69 =L= 0; e50.. - x71 =L= 0; e51.. - x73 =L= 0; e52.. - x75 =L= 0; e53.. - x77 =L= 0; e54.. - x79 =L= 0; e55.. - x81 =L= 0; e56.. - x83 =L= 0; e57.. - x85 =L= 0; e58.. - x62 =G= 0; e59.. - x64 =G= 0; e60.. - x66 =G= 0; e61.. - x68 =G= 0; e62.. - x70 =G= 0; e63.. - x72 =G= 0; e64.. - x74 =G= 0; e65.. - x76 =G= 0; e66.. - x78 =G= 0; e67.. - x80 =G= 0; e68.. - x82 =G= 0; e69.. - x84 =G= 0; e70.. 3.5*b2 - x63 =G= 0; e71.. 3.5*b4 - x65 =G= 0; e72.. 3.5*b6 - x67 =G= 0; e73.. 3.5*b8 - x69 =G= 0; e74.. 3.5*b10 - x71 =G= 0; e75.. 3.5*b12 - x73 =G= 0; e76.. 3.5*b14 - x75 =G= 0; e77.. 3.5*b16 - x77 =G= 0; e78.. 3.5*b18 - x79 =G= 0; e79.. 3.5*b20 - x81 =G= 0; e80.. 3.5*b22 - x83 =G= 0; e81.. 3.5*b24 - x85 =G= 0; e82.. b1 + b2 =E= 1; e83.. b3 + b4 =E= 1; e84.. b5 + b6 =E= 1; e85.. b7 + b8 =E= 1; e86.. b9 + b10 =E= 1; e87.. b11 + b12 =E= 1; e88.. b13 + b14 =E= 1; e89.. b15 + b16 =E= 1; e90.. b17 + b18 =E= 1; e91.. b19 + b20 =E= 1; e92.. b21 + b22 =E= 1; e93.. b23 + b24 =E= 1; e94.. x50 - x62 - x63 =E= 0; e95.. x51 - x64 - x65 =E= 0; e96.. x52 - x66 - x67 =E= 0; e97.. x53 - x68 - x69 =E= 0; e98.. x54 - x70 - x71 =E= 0; e99.. x55 - x72 - x73 =E= 0; e100.. x56 - x74 - x75 =E= 0; e101.. x57 - x76 - x77 =E= 0; e102.. x58 - x78 - x79 =E= 0; e103.. x59 - x80 - x81 =E= 0; e104.. x60 - x82 - x83 =E= 0; e105.. x61 - x84 - x85 =E= 0; e106.. - x63 + x86 =E= 0; e107.. - x65 + x87 =E= 0; e108.. - x67 + x88 =E= 0; e109.. - x69 + x89 =E= 0; e110.. - x71 + x90 =E= 0; e111.. - x73 + x91 =E= 0; e112.. - x75 + x92 =E= 0; e113.. - x77 + x93 =E= 0; e114.. - x79 + x94 =E= 0; e115.. - x81 + x95 =E= 0; e116.. - x83 + x96 =E= 0; e117.. - x85 + x97 =E= 0; e118.. - x50 - x54 - x58 + x98 =E= 0; e119.. - x51 - x55 - x59 + x99 =E= 0; e120.. - x52 - x56 - x60 + x100 =E= 0; e121.. - x53 - x57 - x61 + x101 =E= 0; e122.. - x86 - x90 - x94 + x102 =E= 0; e123.. - x87 - x91 - x95 + x103 =E= 0; e124.. - x88 - x92 - x96 + x104 =E= 0; e125.. - x89 - x93 - x97 + x105 =E= 0; e126.. x102 =G= 0; e127.. x103 =G= 0; e128.. x104 =G= 0; e129.. x105 =G= 0; e130.. - x50 - x51 - x52 - x53 + x106 =E= 0; e131.. - x54 - x55 - x56 - x57 + x107 =E= 0; e132.. - x58 - x59 - x60 - x61 + x108 =E= 0; e133.. - x86 - x87 - x88 - x89 + x109 =E= 0; e134.. - x90 - x91 - x92 - x93 + x110 =E= 0; e135.. - x94 - x95 - x96 - x97 + x111 =E= 0; e136.. x112 + objvar =E= 0; * set non default bounds x25.lo = -1; x25.up = 1; x26.lo = -1; x26.up = 1; x27.lo = -1; x27.up = 1; x28.lo = -1; x28.up = 1; x29.lo = -1; x29.up = 1; x30.lo = -1; x30.up = 1; x31.lo = -1; x31.up = 1; x32.lo = -1; x32.up = 1; x33.lo = -1; x33.up = 1; x34.lo = -1; x34.up = 1; x35.up = 3; x36.up = 3; x37.up = 3; x38.lo = -3; x38.up = 3; x39.lo = -3; x39.up = 3; x40.lo = -3; x40.up = 3; x41.lo = -3; x41.up = 3; x42.lo = -3; x42.up = 3; x43.lo = -3; x43.up = 3; x44.lo = -3; x44.up = 3; x45.up = 3; x46.lo = -3; x46.up = 3; x47.lo = -3; x47.up = 3; x48.lo = -3; x48.up = 3; x49.lo = -3; x49.up = 3; x50.lo = -3; x50.up = 3; x51.lo = -3; x51.up = 3; x52.lo = -3; x52.up = 3; x53.lo = -3; x53.up = 3; x54.lo = -3; x54.up = 3; x55.lo = -3; x55.up = 3; x56.lo = -3; x56.up = 3; x57.up = 3; x58.lo = -3; x58.up = 3; x59.lo = -3; x59.up = 3; x60.lo = -3; x60.up = 3; x61.lo = -3; x61.up = 3; x62.lo = -3; x63.up = 3; x64.lo = -3; x65.up = 3; x66.lo = -3; x67.up = 3; x68.lo = -3; x69.up = 3; x70.lo = -3; x71.up = 3; x72.lo = -3; x73.up = 3; x74.lo = -3; x75.up = 3; x76.lo = -3; x77.up = 3; x78.lo = -3; x79.up = 3; x80.lo = -3; x81.up = 3; x82.lo = -3; x83.up = 3; x84.lo = -3; x85.up = 3; x86.up = 3; x87.up = 3; x88.up = 3; x89.up = 3; x90.up = 3; x91.up = 3; x92.up = 3; x93.up = 3; x94.up = 3; x95.up = 3; x96.up = 3; x97.up = 3; x98.lo = -6; x98.up = 6; x99.lo = -6; x99.up = 6; x100.lo = -6; x101.lo = -6; x102.up = 6; x103.up = 6; x106.lo = -6; x106.up = 6; x107.lo = -6; x107.up = 6; x108.lo = -6; x108.up = 6; x109.up = 6; x110.up = 6; x111.up = 6; x112.up = 3; $if set nostart $goto modeldef * set non default levels * 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;