$offlisting * * Equation counts * Total E G L N X C B * 151 25 12 114 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 100 79 21 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 424 316 108 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,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87 ,b88,b89,b90,b91,b92,b93,x94,x95,x96,x97,x98,x99,objvar; Positive Variables 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 ,x94,x95,x96,x97,x98,x99; Binary Variables b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87 ,b88,b89,b90,b91,b92,b93; 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; e1.. - 300*x94 - 240*x95 - 100*x96 - 300*x97 - 240*x98 - 100*x99 + objvar =E= 0; e2.. - x1 + x2 + x94 =G= 0; e3.. - x1 + x3 + x95 =G= 0; e4.. - x2 + x3 + x96 =G= 0; e5.. x1 - x2 + x94 =G= 0; e6.. x1 - x3 + x95 =G= 0; e7.. x2 - x3 + x96 =G= 0; e8.. - x4 + x5 + x97 =G= 0; e9.. - x4 + x6 + x98 =G= 0; e10.. - x5 + x6 + x99 =G= 0; e11.. x4 - x5 + x97 =G= 0; e12.. x4 - x6 + x98 =G= 0; e13.. x5 - x6 + x99 =G= 0; e14.. x1 - x7 - x9 - x11 - x13 =E= 0; e15.. x1 - x8 - x10 - x12 - x14 =E= 0; e16.. x2 - x15 - x17 - x19 - x21 =E= 0; e17.. x2 - x16 - x18 - x20 - x22 =E= 0; e18.. x3 - x23 - x25 - x27 - x29 =E= 0; e19.. x3 - x24 - x26 - x28 - x30 =E= 0; e20.. x4 - x31 - x33 - x35 - x37 =E= 0; e21.. x4 - x32 - x34 - x36 - x38 =E= 0; e22.. x5 - x39 - x41 - x43 - x45 =E= 0; e23.. x5 - x40 - x42 - x44 - x46 =E= 0; e24.. x6 - x47 - x49 - x51 - x53 =E= 0; e25.. x6 - x48 - x50 - x52 - x54 =E= 0; e26.. x7 - 52.5*b73 =L= 0; e27.. x8 - 52.5*b74 =L= 0; e28.. x9 - 52.5*b76 =L= 0; e29.. x10 - 52.5*b77 =L= 0; e30.. x11 - 52.5*b79 =L= 0; e31.. x12 - 52.5*b80 =L= 0; e32.. x13 - 52.5*b82 =L= 0; e33.. x14 - 52.5*b83 =L= 0; e34.. x15 - 52.5*b73 =L= 0; e35.. x16 - 51.5*b75 =L= 0; e36.. x17 - 52.5*b76 =L= 0; e37.. x18 - 51.5*b78 =L= 0; e38.. x19 - 52.5*b79 =L= 0; e39.. x20 - 51.5*b81 =L= 0; e40.. x21 - 52.5*b82 =L= 0; e41.. x22 - 51.5*b84 =L= 0; e42.. x23 - 52.5*b74 =L= 0; e43.. x24 - 51.5*b75 =L= 0; e44.. x25 - 52.5*b77 =L= 0; e45.. x26 - 51.5*b78 =L= 0; e46.. x27 - 52.5*b80 =L= 0; e47.. x28 - 51.5*b81 =L= 0; e48.. x29 - 52.5*b83 =L= 0; e49.. x30 - 51.5*b84 =L= 0; e50.. x31 - 82*b73 =L= 0; e51.. x32 - 82*b74 =L= 0; e52.. x33 - 82*b76 =L= 0; e53.. x34 - 82*b77 =L= 0; e54.. x35 - 82*b79 =L= 0; e55.. x36 - 82*b80 =L= 0; e56.. x37 - 82*b82 =L= 0; e57.. x38 - 82*b83 =L= 0; e58.. x39 - 82*b73 =L= 0; e59.. x40 - 82.5*b75 =L= 0; e60.. x41 - 82*b76 =L= 0; e61.. x42 - 82.5*b78 =L= 0; e62.. x43 - 82*b79 =L= 0; e63.. x44 - 82.5*b81 =L= 0; e64.. x45 - 82*b82 =L= 0; e65.. x46 - 82.5*b84 =L= 0; e66.. x47 - 82*b74 =L= 0; e67.. x48 - 82.5*b75 =L= 0; e68.. x49 - 82*b77 =L= 0; e69.. x50 - 82.5*b78 =L= 0; e70.. x51 - 82*b80 =L= 0; e71.. x52 - 82.5*b81 =L= 0; e72.. x53 - 82*b83 =L= 0; e73.. x54 - 82.5*b84 =L= 0; e74.. x7 - x15 + 6*b73 =L= 0; e75.. x8 - x23 + 4*b74 =L= 0; e76.. x16 - x24 + 5*b75 =L= 0; e77.. - x9 + x17 + 6*b76 =L= 0; e78.. - x10 + x25 + 4*b77 =L= 0; e79.. - x18 + x26 + 5*b78 =L= 0; e80.. x35 - x43 + 5.5*b79 =L= 0; e81.. x36 - x51 + 4.5*b80 =L= 0; e82.. x44 - x52 + 4*b81 =L= 0; e83.. - x37 + x45 + 5.5*b82 =L= 0; e84.. - x38 + x53 + 4.5*b83 =L= 0; e85.. - x46 + x54 + 4*b84 =L= 0; e86.. b73 + b76 + b79 + b82 =E= 1; e87.. b74 + b77 + b80 + b83 =E= 1; e88.. b75 + b78 + b81 + b84 =E= 1; e89.. x1 - x55 - x58 - x61 =E= 0; e90.. x2 - x56 - x59 - x62 =E= 0; e91.. x3 - x57 - x60 - x63 =E= 0; e92.. x4 - x64 - x67 - x70 =E= 0; e93.. x5 - x65 - x68 - x71 =E= 0; e94.. x6 - x66 - x69 - x72 =E= 0; e95.. x55 - 18.5*b85 =L= 0; e96.. x56 - 17.5*b86 =L= 0; e97.. x57 - 19.5*b87 =L= 0; e98.. x58 - 52.5*b88 =L= 0; e99.. x59 - 51.5*b89 =L= 0; e100.. x60 - 53.5*b90 =L= 0; e101.. x61 - 31.5*b91 =L= 0; e102.. x62 - 30.5*b92 =L= 0; e103.. x63 - 32.5*b93 =L= 0; e104.. x64 - 13*b85 =L= 0; e105.. x65 - 13.5*b86 =L= 0; e106.. x66 - 14.5*b87 =L= 0; e107.. x67 - 82*b88 =L= 0; e108.. x68 - 82.5*b89 =L= 0; e109.. x69 - 83.5*b90 =L= 0; e110.. x70 - 51*b91 =L= 0; e111.. x71 - 51.5*b92 =L= 0; e112.. x72 - 52.5*b93 =L= 0; e113.. (sqr(x55/(0.001 + 0.999*b85)) - 35*x55/(0.001 + 0.999*b85) + sqr(x64/( 0.001 + 0.999*b85)) - 14*x64/(0.001 + 0.999*b85))*(0.001 + 0.999*b85) + 306.25*b85 + 49*b85 - 36*b85 =L= 0; e114.. (sqr(x56/(0.001 + 0.999*b86)) - 37*x56/(0.001 + 0.999*b86) + sqr(x65/( 0.001 + 0.999*b86)) - 15*x65/(0.001 + 0.999*b86))*(0.001 + 0.999*b86) + 342.25*b86 + 56.25*b86 - 36*b86 =L= 0; e115.. (sqr(x57/(0.001 + 0.999*b87)) - 33*x57/(0.001 + 0.999*b87) + sqr(x66/( 0.001 + 0.999*b87)) - 17*x66/(0.001 + 0.999*b87))*(0.001 + 0.999*b87) + 272.25*b87 + 72.25*b87 - 36*b87 =L= 0; e116.. (sqr(x58/(0.001 + 0.999*b88)) - 105*x58/(0.001 + 0.999*b88) + sqr(x67/( 0.001 + 0.999*b88)) - 154*x67/(0.001 + 0.999*b88))*(0.001 + 0.999*b88) + 2756.25*b88 + 5929*b88 - 25*b88 =L= 0; e117.. (sqr(x59/(0.001 + 0.999*b89)) - 107*x59/(0.001 + 0.999*b89) + sqr(x68/( 0.001 + 0.999*b89)) - 155*x68/(0.001 + 0.999*b89))*(0.001 + 0.999*b89) + 2862.25*b89 + 6006.25*b89 - 25*b89 =L= 0; e118.. (sqr(x60/(0.001 + 0.999*b90)) - 103*x60/(0.001 + 0.999*b90) + sqr(x69/( 0.001 + 0.999*b90)) - 157*x69/(0.001 + 0.999*b90))*(0.001 + 0.999*b90) + 2652.25*b90 + 6162.25*b90 - 25*b90 =L= 0; e119.. (sqr(x61/(0.001 + 0.999*b91)) - 65*x61/(0.001 + 0.999*b91) + sqr(x70/( 0.001 + 0.999*b91)) - 94*x70/(0.001 + 0.999*b91))*(0.001 + 0.999*b91) + 1056.25*b91 + 2209*b91 - 16*b91 =L= 0; e120.. (sqr(x62/(0.001 + 0.999*b92)) - 67*x62/(0.001 + 0.999*b92) + sqr(x71/( 0.001 + 0.999*b92)) - 95*x71/(0.001 + 0.999*b92))*(0.001 + 0.999*b92) + 1122.25*b92 + 2256.25*b92 - 16*b92 =L= 0; e121.. (sqr(x63/(0.001 + 0.999*b93)) - 63*x63/(0.001 + 0.999*b93) + sqr(x72/( 0.001 + 0.999*b93)) - 97*x72/(0.001 + 0.999*b93))*(0.001 + 0.999*b93) + 992.25*b93 + 2352.25*b93 - 16*b93 =L= 0; e122.. (sqr(x55/(0.001 + 0.999*b85)) - 35*x55/(0.001 + 0.999*b85) + sqr(x64/( 0.001 + 0.999*b85)) - 26*x64/(0.001 + 0.999*b85))*(0.001 + 0.999*b85) + 306.25*b85 + 169*b85 - 36*b85 =L= 0; e123.. (sqr(x56/(0.001 + 0.999*b86)) - 37*x56/(0.001 + 0.999*b86) + sqr(x65/( 0.001 + 0.999*b86)) - 25*x65/(0.001 + 0.999*b86))*(0.001 + 0.999*b86) + 342.25*b86 + 156.25*b86 - 36*b86 =L= 0; e124.. (sqr(x57/(0.001 + 0.999*b87)) - 33*x57/(0.001 + 0.999*b87) + sqr(x66/( 0.001 + 0.999*b87)) - 23*x66/(0.001 + 0.999*b87))*(0.001 + 0.999*b87) + 272.25*b87 + 132.25*b87 - 36*b87 =L= 0; e125.. (sqr(x58/(0.001 + 0.999*b88)) - 105*x58/(0.001 + 0.999*b88) + sqr(x67/( 0.001 + 0.999*b88)) - 166*x67/(0.001 + 0.999*b88))*(0.001 + 0.999*b88) + 2756.25*b88 + 6889*b88 - 25*b88 =L= 0; e126.. (sqr(x59/(0.001 + 0.999*b89)) - 107*x59/(0.001 + 0.999*b89) + sqr(x68/( 0.001 + 0.999*b89)) - 165*x68/(0.001 + 0.999*b89))*(0.001 + 0.999*b89) + 2862.25*b89 + 6806.25*b89 - 25*b89 =L= 0; e127.. (sqr(x60/(0.001 + 0.999*b90)) - 103*x60/(0.001 + 0.999*b90) + sqr(x69/( 0.001 + 0.999*b90)) - 163*x69/(0.001 + 0.999*b90))*(0.001 + 0.999*b90) + 2652.25*b90 + 6642.25*b90 - 25*b90 =L= 0; e128.. (sqr(x61/(0.001 + 0.999*b91)) - 65*x61/(0.001 + 0.999*b91) + sqr(x70/( 0.001 + 0.999*b91)) - 106*x70/(0.001 + 0.999*b91))*(0.001 + 0.999*b91) + 1056.25*b91 + 2809*b91 - 16*b91 =L= 0; e129.. (sqr(x62/(0.001 + 0.999*b92)) - 67*x62/(0.001 + 0.999*b92) + sqr(x71/( 0.001 + 0.999*b92)) - 105*x71/(0.001 + 0.999*b92))*(0.001 + 0.999*b92) + 1122.25*b92 + 2756.25*b92 - 16*b92 =L= 0; e130.. (sqr(x63/(0.001 + 0.999*b93)) - 63*x63/(0.001 + 0.999*b93) + sqr(x72/( 0.001 + 0.999*b93)) - 103*x72/(0.001 + 0.999*b93))*(0.001 + 0.999*b93) + 992.25*b93 + 2652.25*b93 - 16*b93 =L= 0; e131.. (sqr(x55/(0.001 + 0.999*b85)) - 25*x55/(0.001 + 0.999*b85) + sqr(x64/( 0.001 + 0.999*b85)) - 14*x64/(0.001 + 0.999*b85))*(0.001 + 0.999*b85) + 156.25*b85 + 49*b85 - 36*b85 =L= 0; e132.. (sqr(x56/(0.001 + 0.999*b86)) - 23*x56/(0.001 + 0.999*b86) + sqr(x65/( 0.001 + 0.999*b86)) - 15*x65/(0.001 + 0.999*b86))*(0.001 + 0.999*b86) + 132.25*b86 + 56.25*b86 - 36*b86 =L= 0; e133.. (sqr(x57/(0.001 + 0.999*b87)) - 27*x57/(0.001 + 0.999*b87) + sqr(x66/( 0.001 + 0.999*b87)) - 17*x66/(0.001 + 0.999*b87))*(0.001 + 0.999*b87) + 182.25*b87 + 72.25*b87 - 36*b87 =L= 0; e134.. (sqr(x58/(0.001 + 0.999*b88)) - 95*x58/(0.001 + 0.999*b88) + sqr(x67/( 0.001 + 0.999*b88)) - 154*x67/(0.001 + 0.999*b88))*(0.001 + 0.999*b88) + 2256.25*b88 + 5929*b88 - 25*b88 =L= 0; e135.. (sqr(x59/(0.001 + 0.999*b89)) - 93*x59/(0.001 + 0.999*b89) + sqr(x68/( 0.001 + 0.999*b89)) - 155*x68/(0.001 + 0.999*b89))*(0.001 + 0.999*b89) + 2162.25*b89 + 6006.25*b89 - 25*b89 =L= 0; e136.. (sqr(x60/(0.001 + 0.999*b90)) - 97*x60/(0.001 + 0.999*b90) + sqr(x69/( 0.001 + 0.999*b90)) - 157*x69/(0.001 + 0.999*b90))*(0.001 + 0.999*b90) + 2352.25*b90 + 6162.25*b90 - 25*b90 =L= 0; e137.. (sqr(x61/(0.001 + 0.999*b91)) - 55*x61/(0.001 + 0.999*b91) + sqr(x70/( 0.001 + 0.999*b91)) - 94*x70/(0.001 + 0.999*b91))*(0.001 + 0.999*b91) + 756.25*b91 + 2209*b91 - 16*b91 =L= 0; e138.. (sqr(x62/(0.001 + 0.999*b92)) - 53*x62/(0.001 + 0.999*b92) + sqr(x71/( 0.001 + 0.999*b92)) - 95*x71/(0.001 + 0.999*b92))*(0.001 + 0.999*b92) + 702.25*b92 + 2256.25*b92 - 16*b92 =L= 0; e139.. (sqr(x63/(0.001 + 0.999*b93)) - 57*x63/(0.001 + 0.999*b93) + sqr(x72/( 0.001 + 0.999*b93)) - 97*x72/(0.001 + 0.999*b93))*(0.001 + 0.999*b93) + 812.25*b93 + 2352.25*b93 - 16*b93 =L= 0; e140.. (sqr(x55/(0.001 + 0.999*b85)) - 25*x55/(0.001 + 0.999*b85) + sqr(x64/( 0.001 + 0.999*b85)) - 26*x64/(0.001 + 0.999*b85))*(0.001 + 0.999*b85) + 156.25*b85 + 169*b85 - 36*b85 =L= 0; e141.. (sqr(x56/(0.001 + 0.999*b86)) - 23*x56/(0.001 + 0.999*b86) + sqr(x65/( 0.001 + 0.999*b86)) - 25*x65/(0.001 + 0.999*b86))*(0.001 + 0.999*b86) + 132.25*b86 + 156.25*b86 - 36*b86 =L= 0; e142.. (sqr(x57/(0.001 + 0.999*b87)) - 27*x57/(0.001 + 0.999*b87) + sqr(x66/( 0.001 + 0.999*b87)) - 23*x66/(0.001 + 0.999*b87))*(0.001 + 0.999*b87) + 182.25*b87 + 132.25*b87 - 36*b87 =L= 0; e143.. (sqr(x58/(0.001 + 0.999*b88)) - 95*x58/(0.001 + 0.999*b88) + sqr(x67/( 0.001 + 0.999*b88)) - 166*x67/(0.001 + 0.999*b88))*(0.001 + 0.999*b88) + 2256.25*b88 + 6889*b88 - 25*b88 =L= 0; e144.. (sqr(x59/(0.001 + 0.999*b89)) - 93*x59/(0.001 + 0.999*b89) + sqr(x68/( 0.001 + 0.999*b89)) - 165*x68/(0.001 + 0.999*b89))*(0.001 + 0.999*b89) + 2162.25*b89 + 6806.25*b89 - 25*b89 =L= 0; e145.. (sqr(x60/(0.001 + 0.999*b90)) - 97*x60/(0.001 + 0.999*b90) + sqr(x69/( 0.001 + 0.999*b90)) - 163*x69/(0.001 + 0.999*b90))*(0.001 + 0.999*b90) + 2352.25*b90 + 6642.25*b90 - 25*b90 =L= 0; e146.. (sqr(x61/(0.001 + 0.999*b91)) - 55*x61/(0.001 + 0.999*b91) + sqr(x70/( 0.001 + 0.999*b91)) - 106*x70/(0.001 + 0.999*b91))*(0.001 + 0.999*b91) + 756.25*b91 + 2809*b91 - 16*b91 =L= 0; e147.. (sqr(x62/(0.001 + 0.999*b92)) - 53*x62/(0.001 + 0.999*b92) + sqr(x71/( 0.001 + 0.999*b92)) - 105*x71/(0.001 + 0.999*b92))*(0.001 + 0.999*b92) + 702.25*b92 + 2756.25*b92 - 16*b92 =L= 0; e148.. (sqr(x63/(0.001 + 0.999*b93)) - 57*x63/(0.001 + 0.999*b93) + sqr(x72/( 0.001 + 0.999*b93)) - 103*x72/(0.001 + 0.999*b93))*(0.001 + 0.999*b93) + 812.25*b93 + 2652.25*b93 - 16*b93 =L= 0; e149.. b85 + b88 + b91 =E= 1; e150.. b86 + b89 + b92 =E= 1; e151.. b87 + b90 + b93 =E= 1; * set non-default bounds x1.lo = 11.5; x1.up = 52.5; x2.lo = 12.5; x2.up = 51.5; x3.lo = 10.5; x3.up = 53.5; x4.lo = 7; x4.up = 82; x5.lo = 6.5; x5.up = 82.5; x6.lo = 5.5; x6.up = 83.5; 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;