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hs090.gms

* NLP written by GAMS Convert at 07/27/06 09:26:14 * * Equation counts * Total E G L N X C * 32 31 0 1 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 35 35 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 185 31 154 0 * * Solve m using NLP 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,objvar; 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; e1.. 1.35103388687838*(exp(-0.740173884394968*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-0.740173884394968*(sqr(x3) + sqr(x4))) - 2*exp(- 0.740173884394968*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(- 0.740173884394968*sqr(x4))) + x5 =E= -1.35103388687838; e2.. 0.085216171650906*(exp(-11.734861829942*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-11.734861829942*(sqr(x3) + sqr(x4))) - 2*exp(- 11.734861829942*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-11.734861829942* sqr(x4))) + x6 =E= -0.085216171650906; e3.. 0.0241319683635307*(exp(-41.4388078475705*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-41.4388078475705*(sqr(x3) + sqr(x4))) - 2*exp(- 41.4388078475705*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-41.4388078475705* sqr(x4))) + x7 =E= -0.0241319683635307; e4.. 0.0110122196401316*(exp(-90.8082142092153*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-90.8082142092153*(sqr(x3) + sqr(x4))) - 2*exp(- 90.8082142092153*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-90.8082142092153* sqr(x4))) + x8 =E= -0.0110122196401316; e5.. 0.00625378005929352*(exp(-159.903288973832*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-159.903288973832*(sqr(x3) + sqr(x4))) - 2*exp(- 159.903288973832*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-159.903288973832* sqr(x4))) + x9 =E= -0.00625378005929352; e6.. 0.004020368366483*(exp(-248.733426602596*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-248.733426602596*(sqr(x3) + sqr(x4))) - 2*exp(- 248.733426602596*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-248.733426602596* sqr(x4))) + x10 =E= -0.004020368366483; e7.. 0.00279875990839809*(exp(-357.301102177201*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-357.301102177201*(sqr(x3) + sqr(x4))) - 2*exp(- 357.301102177201*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-357.301102177201* sqr(x4))) + x11 =E= -0.00279875990839809; e8.. 0.00205927759025821*(exp(-485.607188040447*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-485.607188040447*(sqr(x3) + sqr(x4))) - 2*exp(- 485.607188040447*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-485.607188040447* sqr(x4))) + x12 =E= -0.00205927759025821; e9.. 0.00157815317346518*(exp(-633.652054067907*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-633.652054067907*(sqr(x3) + sqr(x4))) - 2*exp(- 633.652054067907*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-633.652054067907* sqr(x4))) + x13 =E= -0.00157815317346518; e10.. 0.00124776045940626*(exp(-801.435878546626*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-801.435878546626*(sqr(x3) + sqr(x4))) - 2*exp(- 801.435878546626*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-801.435878546626 *sqr(x4))) + x14 =E= -0.00124776045940626; e11.. 0.00101116451420175*(exp(-988.958755924539*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-988.958755924539*(sqr(x3) + sqr(x4))) - 2*exp(- 988.958755924539*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-988.958755924539 *sqr(x4))) + x15 =E= -0.00101116451420175; e12.. 0.000835966111070824*(exp(-1196.22073999992*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-1196.22073999992*(sqr(x3) + sqr(x4))) - 2*exp(- 1196.22073999992*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-1196.22073999992 *sqr(x4))) + x16 =E= -0.000835966111070824; e13.. 0.000702631139834791*(exp(-1423.22186323129*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-1423.22186323129*(sqr(x3) + sqr(x4))) - 2*exp(- 1423.22186323129*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-1423.22186323129 *sqr(x4))) + x17 =E= -0.000702631139834791; e14.. 0.000598815968560454*(exp(-1669.9621461398*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-1669.9621461398*(sqr(x3) + sqr(x4))) - 2*exp(- 1669.9621461398*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-1669.9621461398* sqr(x4))) + x18 =E= -0.000598815968560454; e15.. 0.00051641113207719*(exp(-1936.44160221264*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-1936.44160221264*(sqr(x3) + sqr(x4))) - 2*exp(- 1936.44160221264*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-1936.44160221264 *sqr(x4))) + x19 =E= -0.00051641113207719; e16.. 0.000449911318756535*(exp(-2222.66024060875*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-2222.66024060875*(sqr(x3) + sqr(x4))) - 2*exp(- 2222.66024060875*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-2222.66024060875 *sqr(x4))) + x20 =E= -0.000449911318756535; e17.. 0.000395472931544801*(exp(-2528.6180677241*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-2528.6180677241*(sqr(x3) + sqr(x4))) - 2*exp(- 2528.6180677241*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-2528.6180677241* sqr(x4))) + x21 =E= -0.000395472931544801; e18.. 0.000350346744883579*(exp(-2854.31508813447*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-2854.31508813447*(sqr(x3) + sqr(x4))) - 2*exp(- 2854.31508813447*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-2854.31508813447 *sqr(x4))) + x22 =E= -0.000350346744883579; e19.. 0.000312524288490825*(exp(-3199.7513051833*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-3199.7513051833*(sqr(x3) + sqr(x4))) - 2*exp(- 3199.7513051833*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-3199.7513051833* sqr(x4))) + x23 =E= -0.000312524288490825; e20.. 0.000280510674737987*(exp(-3564.92672135938*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-3564.92672135938*(sqr(x3) + sqr(x4))) - 2*exp(- 3564.92672135938*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-3564.92672135938 *sqr(x4))) + x24 =E= -0.000280510674737987; e21.. 0.000253174726346871*(exp(-3949.84133854622*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-3949.84133854622*(sqr(x3) + sqr(x4))) - 2*exp(- 3949.84133854622*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-3949.84133854622 *sqr(x4))) + x25 =E= -0.000253174726346871; e22.. 0.000229647746448653*(exp(-4354.49515819041*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-4354.49515819041*(sqr(x3) + sqr(x4))) - 2*exp(- 4354.49515819041*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-4354.49515819041 *sqr(x4))) + x26 =E= -0.000229647746448653; e23.. 0.000209253692917193*(exp(-4778.88818141779*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-4778.88818141779*(sqr(x3) + sqr(x4))) - 2*exp(- 4778.88818141779*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-4778.88818141779 *sqr(x4))) + x27 =E= -0.000209253692917193; e24.. 0.00019146009811771*(exp(-5223.0204091152*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-5223.0204091152*(sqr(x3) + sqr(x4))) - 2*exp(- 5223.0204091152*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-5223.0204091152* sqr(x4))) + x28 =E= -0.00019146009811771; e25.. 0.000175842978517116*(exp(-5686.89184198882*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-5686.89184198882*(sqr(x3) + sqr(x4))) - 2*exp(- 5686.89184198882*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-5686.89184198882 *sqr(x4))) + x29 =E= -0.000175842978517116; e26.. 0.000162061356128277*(exp(-6170.5024806066*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-6170.5024806066*(sqr(x3) + sqr(x4))) - 2*exp(- 6170.5024806066*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-6170.5024806066* sqr(x4))) + x30 =E= -0.000162061356128277; e27.. 0.000149838496753918*(exp(-6673.85232542952*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-6673.85232542952*(sqr(x3) + sqr(x4))) - 2*exp(- 6673.85232542952*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-6673.85232542952 *sqr(x4))) + x31 =E= -0.000149838496753918; e28.. 0.000138947915182239*(exp(-7196.94137683488*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-7196.94137683488*(sqr(x3) + sqr(x4))) - 2*exp(- 7196.94137683488*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-7196.94137683488 *sqr(x4))) + x32 =E= -0.000138947915182239; e29.. 0.000129202811858974*(exp(-7739.76963513384*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-7739.76963513384*(sqr(x3) + sqr(x4))) - 2*exp(- 7739.76963513384*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-7739.76963513384 *sqr(x4))) + x33 =E= -0.000129202811858974; e30.. 0.000120448012154258*(exp(-8302.33710058494*(sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4))) + 2*exp(-8302.33710058494*(sqr(x3) + sqr(x4))) - 2*exp(- 8302.33710058494*(sqr(x2) + sqr(x3) + sqr(x4))) - 2*exp(-8302.33710058494 *sqr(x4))) + x34 =E= -0.000120448012154258; e31.. (-1.22780211710163e-16*x5*x6) - 1.10979466867667e-16*x5*x7 + 2.71433521326503e-16*x5*x8 + 2.2778273395183e-17*x5*x9 + 3.42807054976076e-17*x5*x10 - 1.48820024156456e-16*x5*x11 + 4.469527759934e-16*x5*x12 - 3.44056990601054e-17*x5*x13 - 5.73711638357183e-17*x5*x14 - 2.18087603398167e-16*x5*x15 - 1.37775663494728e-16*x5*x16 + 5.74179884710585e-18*x5*x17 + 9.18830670328441e-17*x5*x18 + 9.76378110364102e-17*x5*x19 - 2.87198646755441e-17*x5*x20 - 2.32649882004262e-16*x5*x21 - 1.23513845927791e-16*x5*x22 + 1.17775692380682e-16*x5*x23 + 6.60724614052086e-17*x5*x24 - 8.90578364848221e-17*x5*x25 + 1.32154999113869e-16*x5*x26 - 1.20666949447098e-16*x5*x27 + 2.87309925317317e-18*x5*x28 - 1.17799827706712e-16*x5*x29 - 1.63773876413019e-16*x5*x30 - 1.17804421036154e-16*x5*x31 + 2.58599293555006e-17*x5*x32 + 1.66655313399047e-16*x5*x33 + 2.47112846795256e-16*x5*x34 + 1.20305137213229e-15*x6*x8 - 3.10036425529119e-16*x6*x7 + 1.71322964361157e-16*x6*x9 - 1.22779323302001e-16*x6*x10 - 5.90413113330088e-16*x6*x11 + 1.34836630185756e-15*x6*x12 - 1.66356448108871e-16*x6*x13 - 2.280825832873e-16*x6*x14 - 7.15322872093112e-16*x6*x15 - 6.97005896209553e-16*x6*x16 + 1.32642644763051e-16*x6*x17 + 3.7330827287627e-16*x6*x18 + 3.82611079019721e-16*x6*x19 - 2.77729260448651e-17*x6*x20 - 6.78949132216532e-16*x6*x21 - 3.48756549123297e-16*x6*x22 + 4.25939223432893e-16*x6*x23 + 2.53106466753945e-16*x6*x24 + 1.14211256561554e-16*x6*x25 + 4.1981834461614e-16*x6*x26 - 3.79700259228713e-16*x6*x27 + 1.23483053325856e-17*x6*x28 - 3.67370685765145e-16*x6*x29 - 5.17108079388371e-16*x6*x30 - 3.78190452014037e-16*x6*x31 + 8.181396443633e-17*x6*x32 + 5.31026698863919e-16*x6*x33 + 7.76482372747735e-16*x6*x34 + 2.16166468990934e-15*x7*x8 - 1.59281117129717e-16*x7*x9 + 1.13198237123802e-16*x7*x10 - 5.67021060345721e-16*x7*x11 + 1.71295773366725e-15*x7*x12 - 1.20293976783186e-16*x7*x13 - 5.91737608450981e-16*x7*x14 - 1.13038485284597e-15*x7*x15 - 3.98080108031821e-16*x7*x16 + 1.0037636729904e-16*x7*x17 + 3.86509106433437e-16*x7*x18 + 4.03290884207453e-16*x7*x19 - 6.02486244234254e-17*x7*x20 - 7.93338270517015e-16*x7*x21 - 4.08412721472447e-16*x7*x22 + 4.63675153154686e-16*x7*x23 + 6.76295130990211e-16*x7*x24 + 9.37477210967121e-17*x7*x25 + 4.57036260006072e-16*x7*x26 - 4.41982644154997e-16*x7*x27 + 3.34844269310563e-18*x7*x28 - 4.21913658595951e-16*x7*x29 - 5.89351892005066e-16*x7*x30 - 4.33650390971773e-16*x7*x31 + 8.45548354108566e-17*x7*x32 + 5.87706553077218e-16*x7*x33 + 8.62315807440618e-16*x7*x34 + (- 1.57586343002831e-15*x8*x9) - 6.85364682179089e-16*x8*x10 - 1.11489435648371e-15*x8*x11 + 1.69120119057455e-15*x8*x12 - 3.37121290857038e-16*x8*x13 - 7.49528569922091e-16*x8*x14 - 1.30191489864009e-15*x8*x15 - 5.30106968753839e-16*x8*x16 + 2.38681008624226e-17*x8*x17 + 3.37615631409306e-16*x8*x18 + 3.64942750803477e-16*x8*x19 - 1.17680181795742e-16*x8*x20 - 8.74997945900825e-16*x8*x21 - 4.69085203132267e-16*x8*x22 + 4.44376810631141e-16*x8*x23 - 1.54387835958657e-16*x8*x24 - 7.19937421444672e-16*x8*x25 + 4.48697204308926e-16*x8*x26 - 4.82833427323199e-16*x8*x27 - 1.87678777150273e-17*x8*x28 - 4.57264454982756e-16*x8*x29 - 6.29604741126299e-16*x8*x30 - 4.65813670856453e-16*x8*x31 + 6.9958506926621e-17*x8*x32 + 5.92096503598392e-16*x8*x33 + 8.77065124882698e-16*x8*x34 + (- 7.03843555031166e-16*x9*x10) - 8.42041598294943e-16*x9*x11 + 2.1434076056469e-15*x9*x12 - 3.87496689474978e-16*x9*x13 - 1.18364964522377e-16*x9*x14 - 1.16347618619536e-15*x9*x15 - 3.07252002355347e-16*x9*x16 + 2.40356809672342e-16*x9*x17 + 5.33159959974791e-16*x9*x18 + 5.3408443748526e-16*x9*x19 + 8.58742210467796e-18*x9*x20 - 7.95260159277507e-16*x9*x21 + 3.693142508632e-17*x9*x22 + 5.48849267485601e-16*x9*x23 + 7.19808697521684e-16*x9*x24 + 9.44895005027955e-17*x9*x25 + 5.24005711731759e-16*x9*x26 - 4.35539375364234e-16*x9*x27 + 3.35039226772213e-17*x9*x28 - 4.18379292501195e-16*x9*x29 - 5.97942515231547e-16*x9*x30 - 4.34289484490826e-16*x9*x31 + 1.1039982215712e-16*x9*x32 + 6.38352268793104e-16*x9*x33 + 9.25751816559151e-16*x9*x34 + 3.69249083118957e-15*x10*x12 - 1.56088180526984e-15*x10*x11 + 8.4293352766363e-17*x10*x13 - 3.82089186420175e-16*x10*x14 - 1.12773431539279e-15*x10*x15 - 7.00067524575243e-16*x10*x16 - 3.01442258293398e-17*x10*x17 + 3.29915250359915e-16*x10*x18 + 3.62693126617561e-16*x10*x19 - 1.63702044133305e-16*x10*x20 - 9.79707414127687e-16*x10*x21 - 5.30818455084536e-16*x10*x22 + 6.29090000007339e-17*x10*x23 + 2.40444565388903e-16*x10*x24 - 3.75763894340168e-16*x10*x25 + 1.10750833754682e-16*x10*x26 - 8.528505894895e-16*x10*x27 - 3.52957689316665e-16*x10*x28 - 7.98590858401915e-16*x10*x29 - 9.64965936868335e-16*x10*x30 - 3.55134660557763e-16*x10*x31 + 1.9222408397846e-16*x10*x32 + 7.22790357706054e-16*x10*x33 + 1.00898893347264e-15*x10*x34 + 7.985677483805e-15*x11*x12 + 7.32446149485288e-16*x11*x13 + 5.6038261732796e-17*x11*x14 - 9.1590312052029e-16*x11*x15 - 6.09899562488728e-16*x11*x16 + 5.64291307915545e-16*x11*x17 + 8.76772353778373e-16*x11*x18 + 4.01328225094163e-16*x11*x19 + 2.39957771177466e-16*x11*x20 - 1.06263350433415e-15*x11*x21 - 1.91649547387169e-16*x11*x22 + 4.13105888625208e-16*x11*x23 + 5.33566751460962e-16*x11*x24 - 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0.512425709736866*x5 + 0.266412240523561*x6 + 0.089861400898556*x7 + 0.0426250106754744*x8 + 0.0245516005570788*x9 + 0.0158890602681724*x10 + 0.011101566168865*x11 + 0.00818643159400726*x12 + 0.00628281991971577*x13 + 0.00497240547109876*x14 + 0.0040324133754837*x15 + 0.00333549236975795 *x16 + 0.00280460858660855*x17 + 0.00239096605467754*x18 + 0.00206244766461297*x19 + 0.00179721841643146*x20 + 0.00158001642336678* x21 + 0.00139991509677297*x22 + 0.00124892582892782*x23 + 0.00112109899352727*x24 + 0.00101193012535395*x25 + 0.000917958419280411* x26 + 0.00083648954618329*x27 + 0.000765400677216638*x28 + 0.000703000995477976*x29 + 0.000647930360034549*x30 + 0.000599084648828589*x31 + 0.000555560046815938*x32 + 0.00051661097878764 *x33 + 0.000481617997862032*x34 =L= -0.133233333333333; e32.. - (sqr(x1) + sqr(x2) + sqr(x3) + sqr(x4)) + objvar =E= 0; * set non default bounds * set non default levels x1.l = 0.5; x2.l = -0.5; x3.l = 0.5; x4.l = -0.5; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' Solve m using NLP minimizing objvar;