$offlisting * * Equation counts * Total E G L N X C B * 110 6 0 104 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 81 31 50 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 399 299 100 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,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36 ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,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,objvar; Positive Variables 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; 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,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34 ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50; 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; e1.. x51 - x52 - x53 =L= 0; e2.. - x51 + x52 - x53 =L= 0; e3.. x54 - x55 - x56 =L= 0; e4.. - x54 + x55 - x56 =L= 0; e5.. x51 - x57 - x58 =L= 0; e6.. - x51 + x57 - x58 =L= 0; e7.. x54 - x59 - x60 =L= 0; e8.. - x54 + x59 - x60 =L= 0; e9.. x51 - x61 - x62 =L= 0; e10.. - x51 + x61 - x62 =L= 0; e11.. x54 - x63 - x64 =L= 0; e12.. - x54 + x63 - x64 =L= 0; e13.. x51 - x65 - x66 =L= 0; e14.. - x51 + x65 - x66 =L= 0; e15.. x54 - x67 - x68 =L= 0; e16.. - x54 + x67 - x68 =L= 0; e17.. x52 - x57 - x69 =L= 0; e18.. - x52 + x57 - x69 =L= 0; e19.. x55 - x59 - x70 =L= 0; e20.. - x55 + x59 - x70 =L= 0; e21.. x52 - x61 - x71 =L= 0; e22.. - x52 + x61 - x71 =L= 0; e23.. x55 - x63 - x72 =L= 0; e24.. - x55 + x63 - x72 =L= 0; e25.. x52 - x65 - x73 =L= 0; e26.. - x52 + x65 - x73 =L= 0; e27.. x55 - x67 - x74 =L= 0; e28.. - x55 + x67 - x74 =L= 0; e29.. x57 - x61 - x75 =L= 0; e30.. - x57 + x61 - x75 =L= 0; e31.. x59 - x63 - x76 =L= 0; e32.. - x59 + x63 - x76 =L= 0; e33.. x57 - x65 - x77 =L= 0; e34.. - x57 + x65 - x77 =L= 0; e35.. x59 - x67 - x78 =L= 0; e36.. - x59 + x67 - x78 =L= 0; e37.. x61 - x65 - x79 =L= 0; e38.. - x61 + x65 - x79 =L= 0; e39.. x63 - x67 - x80 =L= 0; e40.. - x63 + x67 - x80 =L= 0; e41.. sqr(0.648386267690458 - x51) + sqr(5.34198386756466 - x54) + 109.233018040634*b1 =L= 110.233018040634; e42.. sqr(0.38028139143083 - x51) + sqr(4.79200736168083 - x54) + 108.933937361066*b2 =L= 109.933937361066; e43.. sqr(4.59553989190787 - x51) + sqr(2.92927044373959 - x54) + 54.6585416851302*b3 =L= 55.6585416851302; e44.. sqr(7.79089239319392 - x51) + sqr(3.09688601355012 - x54) + 72.9946165089168*b4 =L= 73.9946165089168; e45.. sqr(2.20597420581599 - x51) + sqr(0.880296019425143 - x54) + 103.212034038779*b5 =L= 104.212034038779; e46.. sqr(4.31093077060147 - x51) + sqr(5.42555328385657 - x54) + 56.8881542099775*b6 =L= 57.8881542099775; e47.. sqr(8.68776252232421 - x51) + sqr(7.42106012944621 - x54) + 103.212034038779*b7 =L= 104.212034038779; e48.. sqr(3.86794113528858 - x51) + sqr(9.34863265837716 - x54) + 120.378073325993*b8 =L= 121.378073325993; e49.. sqr(8.94294324678777 - x51) + sqr(0.712193380632226 - x54) + 120.378073325993*b9 =L= 121.378073325993; e50.. sqr(1.56734614217404 - x51) + sqr(5.6469805099144 - x54) + 96.4999714251602*b10 =L= 97.4999714251602; e51.. b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 =E= 1; e52.. sqr(0.648386267690458 - x52) + sqr(5.34198386756466 - x55) + 109.233018040634*b11 =L= 110.233018040634; e53.. sqr(0.38028139143083 - x52) + sqr(4.79200736168083 - x55) + 108.933937361066*b12 =L= 109.933937361066; e54.. sqr(4.59553989190787 - x52) + sqr(2.92927044373959 - x55) + 54.6585416851302*b13 =L= 55.6585416851302; e55.. sqr(7.79089239319392 - x52) + sqr(3.09688601355012 - x55) + 72.9946165089168*b14 =L= 73.9946165089168; e56.. sqr(2.20597420581599 - x52) + sqr(0.880296019425143 - x55) + 103.212034038779*b15 =L= 104.212034038779; e57.. sqr(4.31093077060147 - x52) + sqr(5.42555328385657 - x55) + 56.8881542099775*b16 =L= 57.8881542099775; e58.. sqr(8.68776252232421 - x52) + sqr(7.42106012944621 - x55) + 103.212034038779*b17 =L= 104.212034038779; e59.. sqr(3.86794113528858 - x52) + sqr(9.34863265837716 - x55) + 120.378073325993*b18 =L= 121.378073325993; e60.. sqr(8.94294324678777 - x52) + sqr(0.712193380632226 - x55) + 120.378073325993*b19 =L= 121.378073325993; e61.. sqr(1.56734614217404 - x52) + sqr(5.6469805099144 - x55) + 96.4999714251602*b20 =L= 97.4999714251602; e62.. b11 + b12 + b13 + b14 + b15 + b16 + b17 + b18 + b19 + b20 =E= 1; e63.. sqr(0.648386267690458 - x57) + sqr(5.34198386756466 - x59) + 109.233018040634*b21 =L= 110.233018040634; e64.. sqr(0.38028139143083 - x57) + sqr(4.79200736168083 - x59) + 108.933937361066*b22 =L= 109.933937361066; e65.. sqr(4.59553989190787 - x57) + sqr(2.92927044373959 - x59) + 54.6585416851302*b23 =L= 55.6585416851302; e66.. sqr(7.79089239319392 - x57) + sqr(3.09688601355012 - x59) + 72.9946165089168*b24 =L= 73.9946165089168; e67.. sqr(2.20597420581599 - x57) + sqr(0.880296019425143 - x59) + 103.212034038779*b25 =L= 104.212034038779; e68.. sqr(4.31093077060147 - x57) + sqr(5.42555328385657 - x59) + 56.8881542099775*b26 =L= 57.8881542099775; e69.. sqr(8.68776252232421 - x57) + sqr(7.42106012944621 - x59) + 103.212034038779*b27 =L= 104.212034038779; e70.. sqr(3.86794113528858 - x57) + sqr(9.34863265837716 - x59) + 120.378073325993*b28 =L= 121.378073325993; e71.. sqr(8.94294324678777 - x57) + sqr(0.712193380632226 - x59) + 120.378073325993*b29 =L= 121.378073325993; e72.. sqr(1.56734614217404 - x57) + sqr(5.6469805099144 - x59) + 96.4999714251602*b30 =L= 97.4999714251602; e73.. b21 + b22 + b23 + b24 + b25 + b26 + b27 + b28 + b29 + b30 =E= 1; e74.. sqr(0.648386267690458 - x61) + sqr(5.34198386756466 - x63) + 109.233018040634*b31 =L= 110.233018040634; e75.. sqr(0.38028139143083 - x61) + sqr(4.79200736168083 - x63) + 108.933937361066*b32 =L= 109.933937361066; e76.. sqr(4.59553989190787 - x61) + sqr(2.92927044373959 - x63) + 54.6585416851302*b33 =L= 55.6585416851302; e77.. sqr(7.79089239319392 - x61) + sqr(3.09688601355012 - x63) + 72.9946165089168*b34 =L= 73.9946165089168; e78.. sqr(2.20597420581599 - x61) + sqr(0.880296019425143 - x63) + 103.212034038779*b35 =L= 104.212034038779; e79.. sqr(4.31093077060147 - x61) + sqr(5.42555328385657 - x63) + 56.8881542099775*b36 =L= 57.8881542099775; e80.. sqr(8.68776252232421 - x61) + sqr(7.42106012944621 - x63) + 103.212034038779*b37 =L= 104.212034038779; e81.. sqr(3.86794113528858 - x61) + sqr(9.34863265837716 - x63) + 120.378073325993*b38 =L= 121.378073325993; e82.. sqr(8.94294324678777 - x61) + sqr(0.712193380632226 - x63) + 120.378073325993*b39 =L= 121.378073325993; e83.. sqr(1.56734614217404 - x61) + sqr(5.6469805099144 - x63) + 96.4999714251602*b40 =L= 97.4999714251602; e84.. b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 =E= 1; e85.. sqr(0.648386267690458 - x65) + sqr(5.34198386756466 - x67) + 109.233018040634*b41 =L= 110.233018040634; e86.. sqr(0.38028139143083 - x65) + sqr(4.79200736168083 - x67) + 108.933937361066*b42 =L= 109.933937361066; e87.. sqr(4.59553989190787 - x65) + sqr(2.92927044373959 - x67) + 54.6585416851302*b43 =L= 55.6585416851302; e88.. sqr(7.79089239319392 - x65) + sqr(3.09688601355012 - x67) + 72.9946165089168*b44 =L= 73.9946165089168; e89.. sqr(2.20597420581599 - x65) + sqr(0.880296019425143 - x67) + 103.212034038779*b45 =L= 104.212034038779; e90.. sqr(4.31093077060147 - x65) + sqr(5.42555328385657 - x67) + 56.8881542099775*b46 =L= 57.8881542099775; e91.. sqr(8.68776252232421 - x65) + sqr(7.42106012944621 - x67) + 103.212034038779*b47 =L= 104.212034038779; e92.. sqr(3.86794113528858 - x65) + sqr(9.34863265837716 - x67) + 120.378073325993*b48 =L= 121.378073325993; e93.. sqr(8.94294324678777 - x65) + sqr(0.712193380632226 - x67) + 120.378073325993*b49 =L= 121.378073325993; e94.. sqr(1.56734614217404 - x65) + sqr(5.6469805099144 - x67) + 96.4999714251602*b50 =L= 97.4999714251602; e95.. b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 =E= 1; e96.. b1 + b11 + b21 + b31 + b41 =L= 1; e97.. b2 + b12 + b22 + b32 + b42 =L= 1; e98.. b3 + b13 + b23 + b33 + b43 =L= 1; e99.. b4 + b14 + b24 + b34 + b44 =L= 1; e100.. b5 + b15 + b25 + b35 + b45 =L= 1; e101.. b6 + b16 + b26 + b36 + b46 =L= 1; e102.. b7 + b17 + b27 + b37 + b47 =L= 1; e103.. b8 + b18 + b28 + b38 + b48 =L= 1; e104.. b9 + b19 + b29 + b39 + b49 =L= 1; e105.. b10 + b20 + b30 + b40 + b50 =L= 1; e106.. x51 - x52 =L= 0; e107.. x52 - x57 =L= 0; e108.. x57 - x61 =L= 0; e109.. x61 - x65 =L= 0; e110.. - x53 - x56 - x58 - x60 - x62 - x64 - x66 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76 - x77 - x78 - x79 - x80 + objvar =E= 0; * set non-default bounds x51.up = 10; x52.up = 10; x53.up = 10; x54.up = 10; x55.up = 10; x56.up = 10; x57.up = 10; x58.up = 10; x59.up = 10; x60.up = 10; x61.up = 10; x62.up = 10; x63.up = 10; x64.up = 10; x65.up = 10; x66.up = 10; x67.up = 10; x68.up = 10; x69.up = 10; x70.up = 10; x71.up = 10; x72.up = 10; x73.up = 10; x74.up = 10; x75.up = 10; x76.up = 10; x77.up = 10; x78.up = 10; x79.up = 10; x80.up = 10; * set non-default levels b2.l = 1; b11.l = 1; b30.l = 1; b36.l = 1; b43.l = 1; x51.l = 1.37695009606239; x52.l = 1.42378547420432; x53.l = 0.0468353781419294; x54.l = 4.71045051597106; x55.l = 4.71045051597106; x57.l = 1.91800199645783; x58.l = 0.541051900395441; x59.l = 4.71045051597106; x61.l = 3.61191140798068; x62.l = 2.23496131191829; x63.l = 4.71045051597106; x65.l = 3.89283484794216; x66.l = 2.51588475187977; x67.l = 3.64078525445372; x68.l = 1.06966526151734; x69.l = 0.494216522253511; x71.l = 2.18812593377636; x73.l = 2.46904937373784; x74.l = 1.06966526151734; x75.l = 1.69390941152285; x77.l = 1.97483285148432; x78.l = 1.06966526151734; x79.l = 0.280923439961476; x80.l = 1.06966526151734; 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;