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polygon2.gms


* NLP written by GAMS Convert at 11/29/04 16:21:11 * * Equation counts * Total E G L N X C * 192 2 0 190 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 43 43 0 0 0 0 0 0 * FX 4 4 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 805 3 802 0 * * Solve m using NLP maximizing 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,objvar; Positive Variables x22,x42; 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,e152,e153,e154,e155 ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168 ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181 ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192; e1.. sqr(x1 - x2) + sqr(x22 - x23) =L= 4; e2.. sqr(x1 - x3) + sqr(x22 - x24) =L= 4; e3.. sqr(x1 - x4) + sqr(x22 - x25) =L= 4; e4.. sqr(x1 - x5) + sqr(x22 - x26) =L= 4; e5.. sqr(x1 - x6) + sqr(x22 - x27) =L= 4; e6.. sqr(x1 - x7) + sqr(x22 - x28) =L= 4; e7.. sqr(x1 - x8) + sqr(x22 - x29) =L= 4; e8.. sqr(x1 - x9) + sqr(x22 - x30) =L= 4; e9.. sqr(x1 - x10) + sqr(x22 - x31) =L= 4; e10.. sqr(x1 - x11) + sqr(x22 - x32) =L= 4; e11.. sqr(x1 - x12) + sqr(x22 - x33) =L= 4; e12.. sqr(x1 - x13) + sqr(x22 - x34) =L= 4; e13.. sqr(x1 - x14) + sqr(x22 - x35) =L= 4; e14.. sqr(x1 - x15) + sqr(x22 - x36) =L= 4; e15.. sqr(x1 - x16) + sqr(x22 - x37) =L= 4; e16.. sqr(x1 - x17) + sqr(x22 - x38) =L= 4; e17.. sqr(x1 - x18) + sqr(x22 - x39) =L= 4; e18.. sqr(x1 - x19) + sqr(x22 - x40) =L= 4; e19.. sqr(x1 - x20) + sqr(x22 - x41) =L= 4; e20.. sqr(x2 - x3) + sqr(x23 - x24) =L= 4; e21.. sqr(x2 - x4) + sqr(x23 - x25) =L= 4; e22.. sqr(x2 - x5) + sqr(x23 - x26) =L= 4; e23.. sqr(x2 - x6) + sqr(x23 - x27) =L= 4; e24.. sqr(x2 - x7) + sqr(x23 - x28) =L= 4; e25.. sqr(x2 - x8) + sqr(x23 - x29) =L= 4; e26.. sqr(x2 - x9) + sqr(x23 - x30) =L= 4; e27.. sqr(x2 - x10) + sqr(x23 - x31) =L= 4; e28.. sqr(x2 - x11) + sqr(x23 - x32) =L= 4; e29.. sqr(x2 - x12) + sqr(x23 - x33) =L= 4; e30.. sqr(x2 - x13) + sqr(x23 - x34) =L= 4; e31.. sqr(x2 - x14) + sqr(x23 - x35) =L= 4; e32.. sqr(x2 - x15) + sqr(x23 - x36) =L= 4; e33.. sqr(x2 - x16) + sqr(x23 - x37) =L= 4; e34.. sqr(x2 - x17) + sqr(x23 - x38) =L= 4; e35.. sqr(x2 - x18) + sqr(x23 - x39) =L= 4; e36.. sqr(x2 - x19) + sqr(x23 - x40) =L= 4; e37.. sqr(x2 - x20) + sqr(x23 - x41) =L= 4; e38.. sqr(x3 - x4) + sqr(x24 - x25) =L= 4; e39.. sqr(x3 - x5) + sqr(x24 - x26) =L= 4; e40.. sqr(x3 - x6) + sqr(x24 - x27) =L= 4; e41.. sqr(x3 - x7) + sqr(x24 - x28) =L= 4; e42.. sqr(x3 - x8) + sqr(x24 - x29) =L= 4; e43.. sqr(x3 - x9) + sqr(x24 - x30) =L= 4; e44.. sqr(x3 - x10) + sqr(x24 - x31) =L= 4; e45.. sqr(x3 - x11) + sqr(x24 - x32) =L= 4; e46.. sqr(x3 - x12) + sqr(x24 - x33) =L= 4; e47.. sqr(x3 - x13) + sqr(x24 - x34) =L= 4; e48.. sqr(x3 - x14) + sqr(x24 - x35) =L= 4; e49.. sqr(x3 - x15) + sqr(x24 - x36) =L= 4; e50.. sqr(x3 - x16) + sqr(x24 - x37) =L= 4; e51.. sqr(x3 - x17) + sqr(x24 - x38) =L= 4; e52.. sqr(x3 - x18) + sqr(x24 - x39) =L= 4; e53.. sqr(x3 - x19) + sqr(x24 - x40) =L= 4; e54.. sqr(x3 - x20) + sqr(x24 - x41) =L= 4; e55.. sqr(x4 - x5) + sqr(x25 - x26) =L= 4; e56.. sqr(x4 - x6) + sqr(x25 - x27) =L= 4; e57.. sqr(x4 - x7) + sqr(x25 - x28) =L= 4; e58.. sqr(x4 - x8) + sqr(x25 - x29) =L= 4; e59.. sqr(x4 - x9) + sqr(x25 - x30) =L= 4; e60.. sqr(x4 - x10) + sqr(x25 - x31) =L= 4; e61.. sqr(x4 - x11) + sqr(x25 - x32) =L= 4; e62.. sqr(x4 - x12) + sqr(x25 - x33) =L= 4; e63.. sqr(x4 - x13) + sqr(x25 - x34) =L= 4; e64.. sqr(x4 - x14) + sqr(x25 - x35) =L= 4; e65.. sqr(x4 - x15) + sqr(x25 - x36) =L= 4; e66.. sqr(x4 - x16) + sqr(x25 - x37) =L= 4; e67.. sqr(x4 - x17) + sqr(x25 - x38) =L= 4; e68.. sqr(x4 - x18) + sqr(x25 - x39) =L= 4; e69.. sqr(x4 - x19) + sqr(x25 - x40) =L= 4; e70.. sqr(x4 - x20) + sqr(x25 - x41) =L= 4; e71.. sqr(x5 - x6) + sqr(x26 - x27) =L= 4; e72.. sqr(x5 - x7) + sqr(x26 - x28) =L= 4; e73.. sqr(x5 - x8) + sqr(x26 - x29) =L= 4; e74.. sqr(x5 - x9) + sqr(x26 - x30) =L= 4; e75.. sqr(x5 - x10) + sqr(x26 - x31) =L= 4; e76.. sqr(x5 - x11) + sqr(x26 - x32) =L= 4; e77.. sqr(x5 - x12) + sqr(x26 - x33) =L= 4; e78.. sqr(x5 - x13) + sqr(x26 - x34) =L= 4; e79.. sqr(x5 - x14) + sqr(x26 - x35) =L= 4; e80.. sqr(x5 - x15) + sqr(x26 - x36) =L= 4; e81.. sqr(x5 - x16) + sqr(x26 - x37) =L= 4; e82.. sqr(x5 - x17) + sqr(x26 - x38) =L= 4; e83.. sqr(x5 - x18) + sqr(x26 - x39) =L= 4; e84.. sqr(x5 - x19) + sqr(x26 - x40) =L= 4; e85.. sqr(x5 - x20) + sqr(x26 - x41) =L= 4; e86.. sqr(x6 - x7) + sqr(x27 - x28) =L= 4; e87.. sqr(x6 - x8) + sqr(x27 - x29) =L= 4; e88.. sqr(x6 - x9) + sqr(x27 - x30) =L= 4; e89.. sqr(x6 - x10) + sqr(x27 - x31) =L= 4; e90.. sqr(x6 - x11) + sqr(x27 - x32) =L= 4; e91.. sqr(x6 - x12) + sqr(x27 - x33) =L= 4; e92.. sqr(x6 - x13) + sqr(x27 - x34) =L= 4; e93.. sqr(x6 - x14) + sqr(x27 - x35) =L= 4; e94.. sqr(x6 - x15) + sqr(x27 - x36) =L= 4; e95.. sqr(x6 - x16) + sqr(x27 - x37) =L= 4; e96.. sqr(x6 - x17) + sqr(x27 - x38) =L= 4; e97.. sqr(x6 - x18) + sqr(x27 - x39) =L= 4; e98.. sqr(x6 - x19) + sqr(x27 - x40) =L= 4; e99.. sqr(x6 - x20) + sqr(x27 - x41) =L= 4; e100.. sqr(x7 - x8) + sqr(x28 - x29) =L= 4; e101.. sqr(x7 - x9) + sqr(x28 - x30) =L= 4; e102.. sqr(x7 - x10) + sqr(x28 - x31) =L= 4; e103.. sqr(x7 - x11) + sqr(x28 - x32) =L= 4; e104.. sqr(x7 - x12) + sqr(x28 - x33) =L= 4; e105.. sqr(x7 - x13) + sqr(x28 - x34) =L= 4; e106.. sqr(x7 - x14) + sqr(x28 - x35) =L= 4; e107.. sqr(x7 - x15) + sqr(x28 - x36) =L= 4; e108.. sqr(x7 - x16) + sqr(x28 - x37) =L= 4; e109.. sqr(x7 - x17) + sqr(x28 - x38) =L= 4; e110.. sqr(x7 - x18) + sqr(x28 - x39) =L= 4; e111.. sqr(x7 - x19) + sqr(x28 - x40) =L= 4; e112.. sqr(x7 - x20) + sqr(x28 - x41) =L= 4; e113.. sqr(x8 - x9) + sqr(x29 - x30) =L= 4; e114.. sqr(x8 - x10) + sqr(x29 - x31) =L= 4; e115.. sqr(x8 - x11) + sqr(x29 - x32) =L= 4; e116.. sqr(x8 - x12) + sqr(x29 - x33) =L= 4; e117.. sqr(x8 - x13) + sqr(x29 - x34) =L= 4; e118.. sqr(x8 - x14) + sqr(x29 - x35) =L= 4; e119.. sqr(x8 - x15) + sqr(x29 - x36) =L= 4; e120.. sqr(x8 - x16) + sqr(x29 - x37) =L= 4; e121.. sqr(x8 - x17) + sqr(x29 - x38) =L= 4; e122.. sqr(x8 - x18) + sqr(x29 - x39) =L= 4; e123.. sqr(x8 - x19) + sqr(x29 - x40) =L= 4; e124.. sqr(x8 - x20) + sqr(x29 - x41) =L= 4; e125.. sqr(x9 - x10) + sqr(x30 - x31) =L= 4; e126.. sqr(x9 - x11) + sqr(x30 - x32) =L= 4; e127.. sqr(x9 - x12) + sqr(x30 - x33) =L= 4; e128.. sqr(x9 - x13) + sqr(x30 - x34) =L= 4; e129.. sqr(x9 - x14) + sqr(x30 - x35) =L= 4; e130.. sqr(x9 - x15) + sqr(x30 - x36) =L= 4; e131.. sqr(x9 - x16) + sqr(x30 - x37) =L= 4; e132.. sqr(x9 - x17) + sqr(x30 - x38) =L= 4; e133.. sqr(x9 - x18) + sqr(x30 - x39) =L= 4; e134.. sqr(x9 - x19) + sqr(x30 - x40) =L= 4; e135.. sqr(x9 - x20) + sqr(x30 - x41) =L= 4; e136.. sqr(x10 - x11) + sqr(x31 - x32) =L= 4; e137.. sqr(x10 - x12) + sqr(x31 - x33) =L= 4; e138.. sqr(x10 - x13) + sqr(x31 - x34) =L= 4; e139.. sqr(x10 - x14) + sqr(x31 - x35) =L= 4; e140.. sqr(x10 - x15) + sqr(x31 - x36) =L= 4; e141.. sqr(x10 - x16) + sqr(x31 - x37) =L= 4; e142.. sqr(x10 - x17) + sqr(x31 - x38) =L= 4; e143.. sqr(x10 - x18) + sqr(x31 - x39) =L= 4; e144.. sqr(x10 - x19) + sqr(x31 - x40) =L= 4; e145.. sqr(x10 - x20) + sqr(x31 - x41) =L= 4; e146.. sqr(x11 - x12) + sqr(x32 - x33) =L= 4; e147.. sqr(x11 - x13) + sqr(x32 - x34) =L= 4; e148.. sqr(x11 - x14) + sqr(x32 - x35) =L= 4; e149.. sqr(x11 - x15) + sqr(x32 - x36) =L= 4; e150.. sqr(x11 - x16) + sqr(x32 - x37) =L= 4; e151.. sqr(x11 - x17) + sqr(x32 - x38) =L= 4; e152.. sqr(x11 - x18) + sqr(x32 - x39) =L= 4; e153.. sqr(x11 - x19) + sqr(x32 - x40) =L= 4; e154.. sqr(x11 - x20) + sqr(x32 - x41) =L= 4; e155.. sqr(x12 - x13) + sqr(x33 - x34) =L= 4; e156.. sqr(x12 - x14) + sqr(x33 - x35) =L= 4; e157.. sqr(x12 - x15) + sqr(x33 - x36) =L= 4; e158.. sqr(x12 - x16) + sqr(x33 - x37) =L= 4; e159.. sqr(x12 - x17) + sqr(x33 - x38) =L= 4; e160.. sqr(x12 - x18) + sqr(x33 - x39) =L= 4; e161.. sqr(x12 - x19) + sqr(x33 - x40) =L= 4; e162.. sqr(x12 - x20) + sqr(x33 - x41) =L= 4; e163.. sqr(x13 - x14) + sqr(x34 - x35) =L= 4; e164.. sqr(x13 - x15) + sqr(x34 - x36) =L= 4; e165.. sqr(x13 - x16) + sqr(x34 - x37) =L= 4; e166.. sqr(x13 - x17) + sqr(x34 - x38) =L= 4; e167.. sqr(x13 - x18) + sqr(x34 - x39) =L= 4; e168.. sqr(x13 - x19) + sqr(x34 - x40) =L= 4; e169.. sqr(x13 - x20) + sqr(x34 - x41) =L= 4; e170.. sqr(x14 - x15) + sqr(x35 - x36) =L= 4; e171.. sqr(x14 - x16) + sqr(x35 - x37) =L= 4; e172.. sqr(x14 - x17) + sqr(x35 - x38) =L= 4; e173.. sqr(x14 - x18) + sqr(x35 - x39) =L= 4; e174.. sqr(x14 - x19) + sqr(x35 - x40) =L= 4; e175.. sqr(x14 - x20) + sqr(x35 - x41) =L= 4; e176.. sqr(x15 - x16) + sqr(x36 - x37) =L= 4; e177.. sqr(x15 - x17) + sqr(x36 - x38) =L= 4; e178.. sqr(x15 - x18) + sqr(x36 - x39) =L= 4; e179.. sqr(x15 - x19) + sqr(x36 - x40) =L= 4; e180.. sqr(x15 - x20) + sqr(x36 - x41) =L= 4; e181.. sqr(x16 - x17) + sqr(x37 - x38) =L= 4; e182.. sqr(x16 - x18) + sqr(x37 - x39) =L= 4; e183.. sqr(x16 - x19) + sqr(x37 - x40) =L= 4; e184.. sqr(x16 - x20) + sqr(x37 - x41) =L= 4; e185.. sqr(x17 - x18) + sqr(x38 - x39) =L= 4; e186.. sqr(x17 - x19) + sqr(x38 - x40) =L= 4; e187.. sqr(x17 - x20) + sqr(x38 - x41) =L= 4; e188.. sqr(x18 - x19) + sqr(x39 - x40) =L= 4; e189.. sqr(x18 - x20) + sqr(x39 - x41) =L= 4; e190.. sqr(x19 - x20) + sqr(x40 - x41) =L= 4; e191.. x2 - x20 =E= 0; e192.. - 0.5*(x1*x23 - x2*x22 + x2*x24 - x3*x23 + x3*x25 - x4*x24 + x4*x26 - x5*x25 + x5*x27 - x6*x26 + x6*x28 - x7*x27 + x7*x29 - x8*x28 + x8*x30 - x9*x29 + x9*x31 - x10*x30 + x10*x32 - x11*x31 + x11*x33 - x12*x32 + x12* x34 - x13*x33 + x13*x35 - x14*x34 + x14*x36 - x15*x35 + x15*x37 - x16* x36 + x16*x38 - x17*x37 + x17*x39 - x18*x38 + x18*x40 - x19*x39 + x19* x41 - x20*x40 + x20*x42 - x21*x41) + objvar =E= 0; * set non default bounds x1.fx = 0.5; x2.lo = 0.5; x2.up = 2.5; x3.lo = 0.5; x3.up = 2.5; x4.lo = 0.5; x4.up = 2.5; x5.lo = 0.5; x5.up = 2.5; x6.lo = 0.5; x6.up = 2.5; x7.lo = 0.5; x7.up = 2.5; x8.lo = 0.5; x8.up = 2.5; x9.lo = 0.5; x9.up = 2.5; x10.lo = 0.5; x10.up = 2.5; x11.lo = 0.5; x11.up = 2.5; x12.lo = 0.5; x12.up = 2.5; x13.lo = 0.5; x13.up = 2.5; x14.lo = 0.5; x14.up = 2.5; x15.lo = 0.5; x15.up = 2.5; x16.lo = 0.5; x16.up = 2.5; x17.lo = 0.5; x17.up = 2.5; x18.lo = 0.5; x18.up = 2.5; x19.lo = 0.5; x19.up = 2.5; x20.lo = 0.5; x20.up = 2.5; x21.fx = 0.5; x22.fx = 0; x42.fx = 0; * set non default levels x2.l = 2.30901699437495; x3.l = 2.08778525229247; x4.l = 1.80901699437495; x5.l = 1.5; x6.l = 1.19098300562505; x7.l = 0.912214747707527; x8.l = 0.690983005625053; x9.l = 0.548943483704846; x11.l = 0.548943483704846; x12.l = 0.690983005625052; x13.l = 0.912214747707527; x14.l = 1.19098300562505; x15.l = 1.5; x16.l = 1.80901699437495; x17.l = 2.08778525229247; x18.l = 2.30901699437495; x19.l = 2.45105651629515; x20.l = 2.5; x23.l = 0.587785252292473; x24.l = 0.809016994374947; x25.l = 0.951056516295154; x26.l = 1; x27.l = 0.951056516295154; x28.l = 0.809016994374947; x29.l = 0.587785252292473; x30.l = 0.309016994374948; x31.l = 1.22460635382238E-16; x32.l = -0.309016994374947; x33.l = -0.587785252292473; x34.l = -0.809016994374947; x35.l = -0.951056516295154; x36.l = -1; x37.l = -0.951056516295154; x38.l = -0.809016994374948; x39.l = -0.587785252292473; x40.l = -0.309016994374948; x41.l = -2.44921270764475E-16; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP maximizing objvar;