robust.gms
* NLP written by GAMS Convert at 06/18/05 10:42:33
*
* Equation counts
* Total E G L N X C
* 10 10 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 25 25 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 130 1 129 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,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;
e1.. x1*x1 + x2*x2 + x3*x3 + x4*x4 + x5*x5 + x6*x6 + x7*x7 =E= 1;
e2.. x8*x8 + x9*x9 + x10*x10 + x11*x11 + x12*x12 + x13*x13 + x14*x14 =E= 1;
e3.. x15*x15 + x16*x16 + x17*x17 + x18*x18 + x19*x19 + x20*x20 + x21*x21 =E= 1;
e4.. x1*x8 + x2*x9 + x3*x10 + x4*x11 + x5*x12 + x6*x13 + x7*x14 =E= 0;
e5.. x1*x15 + x2*x16 + x3*x17 + x4*x18 + x5*x19 + x6*x20 + x7*x21 =E= 0;
e6.. x8*x1 + x9*x2 + x10*x3 + x11*x4 + x12*x5 + x13*x6 + x14*x7 =E= 0;
e7.. x8*x15 + x9*x16 + x10*x17 + x11*x18 + x12*x19 + x13*x20 + x14*x21 =E= 0;
e8.. x15*x1 + x16*x2 + x17*x3 + x18*x4 + x19*x5 + x20*x6 + x21*x7 =E= 0;
e9.. x15*x8 + x16*x9 + x17*x10 + x18*x11 + x19*x12 + x20*x13 + x21*x14 =E= 0;
e10.. - (sqrt(0.0001 + sqr(0.261555681146846*x1 - 0.283739981179866*x2 -
0.458386401928001*x3 + 0.908915674177192*x4 - 0.343866734864445*x5 +
0.662314435445691*x6 + 0.486149648370959*x7 + x22)) + sqrt(0.0001 + sqr(
0.222174684904231*x1 - 0.285297245557811*x2 - 0.443876421397259*x3 +
1.37547395903746*x4 - 0.31967997022056*x5 - 1.18702134057305*x6 +
1.15320888763318*x7 + x22)) + sqrt(0.0001 + sqr(0.270874355272957*x1 -
0.355549532335666*x2 - 0.450296665868712*x3 + 0.999392489004581*x4 -
0.00611905005372418*x5 + 0.994592146806168*x6 + 0.9069416124432*x7 + x22)
) + sqrt(0.0001 + sqr(0.272836732629432*x1 - 0.377928786425648*x2 -
0.483098351536263*x3 + 0.624782467950266*x4 + 0.218174284515045*x5 +
0.962119619583899*x6 + 0.107595751236342*x7 + x22)) + sqrt(0.0001 + sqr(
0.311237431988624*x1 - 0.293144711010023*x2 - 0.446802984970518*x3 -
1.98203409295263*x4 - 0.826199950741198*x5 - 1.0043937839472*x6 +
0.752264185266621*x7 + x22)) + sqrt(0.0001 + sqr(0.268967842171685*x1 -
0.362949790072347*x2 - 0.467801964286159*x3 + 1.43053988128271*x4 -
2.09927233750628*x5 - 0.67338903155342*x6 - 0.168952291231008*x7 + x22))
+ sqrt(0.0001 + sqr(0.231899600930635*x1 - 0.365669784266961*x2 -
0.47854117838207*x3 + 1.24821749318554*x4 + 1.5939849451946*x5 +
0.812408896177042*x6 + 0.801700973065633*x7 + x22)) + sqrt(0.0001 + sqr(
0.322891949790261*x1 - 0.366279469097768*x2 - 0.454128052541963*x3 +
0.713516388434362*x4 - 0.0709392085024772*x5 + 0.122786210013057*x6 +
1.7605082114828*x7 + x22)) + sqrt(0.0001 + sqr(0.300386610698983*x1 -
0.301683839432236*x2 - 0.455091826098195*x3 + 1.13259524971427*x4 +
1.22442465130362*x5 + 0.0563072421474938*x6 - 0.146842774095445*x7 + x22)
) + sqrt(0.0001 + sqr(0.32543808900449*x1 - 0.366736413243323*x2 -
0.456210756302371*x3 - 0.777528018237821*x4 + 0.566939617089715*x5 -
0.350931903020219*x6 + 0.632501544542882*x7 + x22)) + sqrt(0.0001 + sqr(
0.295834755671369*x1 - 0.214126246340271*x2 - 0.463960128533233*x3 -
0.601956022789838*x4 + 1.28095924672539*x5 + 0.706797553319987*x6 +
1.52407070138068*x7 + x22)) + sqrt(0.0001 + sqr(0.309625950689885*x1 -
0.271704088805823*x2 - 0.442755076112321*x3 + 1.53971504783882*x4 +
0.91495377504424*x5 + 0.595607268823303*x6 + 0.716596189638769*x7 + x22))
+ sqrt(0.0001 + sqr(0.307235236600311*x1 - 0.280905868702574*x2 -
0.455682345773191*x3 + 0.581676923258357*x4 + 1.01803378587886*x5 +
0.91943226708907*x6 - 0.229028493778264*x7 + x22)) + sqrt(0.0001 + sqr(
0.299698844450779*x1 - 0.289635097670586*x2 - 0.475022966799211*x3 -
1.65824033579777*x4 + 1.73047264207974*x5 - 1.18395088149471*x6 -
2.02031946083204*x7 + x22)) + sqrt(0.0001 + sqr(0.297268422067904*x1 -
0.275069716135892*x2 - 0.463389229945361*x3 - 0.0676323210649775*x4 +
1.06379233853557*x5 - 0.696320725829895*x6 - 1.097184743836*x7 + x22)) +
sqrt(0.0001 + sqr(0.326318571705969*x1 - 0.276665482302796*x2 -
0.44423918101727*x3 - 0.731371681355654*x4 - 0.216268454006558*x5 +
0.381563425973272*x6 + 1.14650802158803*x7 + x22)) + sqrt(0.0001 + sqr(
0.309294812043648*x1 - 0.276249899739334*x2 - 0.46487486259227*x3 -
0.45619219348328*x4 + 0.598823045063504*x5 + 0.881446043646029*x6 -
1.55718957807709*x7 + x22)) + sqrt(0.0001 + sqr(0.255824341060434*x1 -
0.328563082798124*x2 - 0.459669846655876*x3 + 1.06492210191407*x4 -
0.328736003092424*x5 + 0.543355079406207*x6 + 0.0570392618469151*x7 + x22
)) + sqrt(0.0001 + sqr(0.240258432880058*x1 - 0.283949732115171*x2 -
0.493918638501676*x3 + 0.263335874641452*x4 - 0.0236067878498154*x5 +
0.0435577522624278*x6 - 0.423651508968738*x7 + x22)) + sqrt(0.0001 + sqr(
0.316384597369113*x1 - 0.297798474104335*x2 - 0.471111458286512*x3 -
0.345240383352466*x4 - 0.381754866169314*x5 + 0.139297179818001*x6 -
0.591955140476439*x7 + x22)) + sqrt(0.0001 + sqr(0.363096142028111*x1 -
0.33100942900131*x2 - 0.447153888683921*x3 + 0.853830388823701*x4 +
2.27768313005582*x5 - 1.37883664220108*x6 - 0.185034053757423*x7 + x22))
+ sqrt(0.0001 + sqr(0.387059037999289*x1 - 0.359120074630665*x2 -
0.464594245303431*x3 + 0.194401885591959*x4 - 0.799435101502405*x5 +
1.84925024202847*x6 - 0.287298871727776*x7 + x22)) + sqrt(0.0001 + sqr(
0.34985363603928*x1 - 0.36520341284198*x2 - 0.443148443192781*x3 -
1.71498714361905*x4 - 0.974248100878064*x5 - 0.763613486937362*x6 -
0.0140759241744093*x7 + x22)) + sqrt(0.0001 + sqr(0.379682958347761*x1 -
0.313128289693746*x2 - 0.460852095769079*x3 - 1.65540076254997*x4 -
1.40275056483195*x5 - 0.838912324605813*x6 - 1.01479140514974*x7 + x22))
+ sqrt(0.0001 + sqr(0.285925950256959*x1 - 0.357412774584198*x2 -
0.470232091308015*x3 - 1.28906162150211*x4 - 0.488768101237553*x5 +
0.676198807227854*x6 + 0.0224908839334736*x7 + x22)) + sqrt(0.0001 + sqr(
0.311371056520773*x1 - 0.319198846724544*x2 - 0.450984636649362*x3 +
0.594633555825912*x4 - 0.963515612000739*x5 - 0.839261038596909*x6 -
0.437568637904102*x7 + x22)) + sqrt(0.0001 + sqr(0.28242150278353*x1 -
0.332463696411872*x2 - 0.454410597288131*x3 + 0.0512042941431313*x4 +
0.547033483228598*x5 + 1.87839612901397*x6 + 0.638052609918008*x7 + x22))
+ sqrt(0.0001 + sqr(0.317098081358558*x1 - 0.282148214441018*x2 -
0.472699468804419*x3 + 0.343075938499291*x4 + 1.14164890173862*x5 +
0.109841624206992*x6 + 0.307927171048421*x7 + x22)) + sqrt(0.0001 + sqr(
0.27703932464746*x1 - 0.287059940614819*x2 - 0.45689974488958*x3 +
2.08457335261404*x4 + 0.41739778877439*x5 - 1.34059994355744*x6 -
1.34910962736863*x7 + x22)) + sqrt(0.0001 + sqr(0.312396397305534*x1 -
0.285564105542192*x2 - 0.460299749646734*x3 + 0.119592618635339*x4 -
0.820328515221233*x5 + 0.0944865116555206*x6 + 0.748656583711784*x7 + x22
)) + sqrt(0.0001 + sqr(0.261555681146846*x8 - 0.283739981179866*x9 -
0.458386401928001*x10 + 0.908915674177192*x11 - 0.343866734864445*x12 +
0.662314435445691*x13 + 0.486149648370959*x14 + x23)) + sqrt(0.0001 +
sqr(0.222174684904231*x8 - 0.285297245557811*x9 - 0.443876421397259*x10
+ 1.37547395903746*x11 - 0.31967997022056*x12 - 1.18702134057305*x13 +
1.15320888763318*x14 + x23)) + sqrt(0.0001 + sqr(0.270874355272957*x8 -
0.355549532335666*x9 - 0.450296665868712*x10 + 0.999392489004581*x11 -
0.00611905005372418*x12 + 0.994592146806168*x13 + 0.9069416124432*x14 +
x23)) + sqrt(0.0001 + sqr(0.272836732629432*x8 - 0.377928786425648*x9 -
0.483098351536263*x10 + 0.624782467950266*x11 + 0.218174284515045*x12 +
0.962119619583899*x13 + 0.107595751236342*x14 + x23)) + sqrt(0.0001 +
sqr(0.311237431988624*x8 - 0.293144711010023*x9 - 0.446802984970518*x10
- 1.98203409295263*x11 - 0.826199950741198*x12 - 1.0043937839472*x13 +
0.752264185266621*x14 + x23)) + sqrt(0.0001 + sqr(0.268967842171685*x8 -
0.362949790072347*x9 - 0.467801964286159*x10 + 1.43053988128271*x11 -
2.09927233750628*x12 - 0.67338903155342*x13 - 0.168952291231008*x14 + x23
)) + sqrt(0.0001 + sqr(0.231899600930635*x8 - 0.365669784266961*x9 -
0.47854117838207*x10 + 1.24821749318554*x11 + 1.5939849451946*x12 +
0.812408896177042*x13 + 0.801700973065633*x14 + x23)) + sqrt(0.0001 +
sqr(0.322891949790261*x8 - 0.366279469097768*x9 - 0.454128052541963*x10
+ 0.713516388434362*x11 - 0.0709392085024772*x12 + 0.122786210013057*x13
+ 1.7605082114828*x14 + x23)) + sqrt(0.0001 + sqr(0.300386610698983*x8
- 0.301683839432236*x9 - 0.455091826098195*x10 + 1.13259524971427*x11 +
1.22442465130362*x12 + 0.0563072421474938*x13 - 0.146842774095445*x14 +
x23)) + sqrt(0.0001 + sqr(0.32543808900449*x8 - 0.366736413243323*x9 -
0.456210756302371*x10 - 0.777528018237821*x11 + 0.566939617089715*x12 -
0.350931903020219*x13 + 0.632501544542882*x14 + x23)) + sqrt(0.0001 +
sqr(0.295834755671369*x8 - 0.214126246340271*x9 - 0.463960128533233*x10
- 0.601956022789838*x11 + 1.28095924672539*x12 + 0.706797553319987*x13
+ 1.52407070138068*x14 + x23)) + sqrt(0.0001 + sqr(0.309625950689885*x8
- 0.271704088805823*x9 - 0.442755076112321*x10 + 1.53971504783882*x11 +
0.91495377504424*x12 + 0.595607268823303*x13 + 0.716596189638769*x14 +
x23)) + sqrt(0.0001 + sqr(0.307235236600311*x8 - 0.280905868702574*x9 -
0.455682345773191*x10 + 0.581676923258357*x11 + 1.01803378587886*x12 +
0.91943226708907*x13 - 0.229028493778264*x14 + x23)) + sqrt(0.0001 + sqr(
0.299698844450779*x8 - 0.289635097670586*x9 - 0.475022966799211*x10 -
1.65824033579777*x11 + 1.73047264207974*x12 - 1.18395088149471*x13 -
2.02031946083204*x14 + x23)) + sqrt(0.0001 + sqr(0.297268422067904*x8 -
0.275069716135892*x9 - 0.463389229945361*x10 - 0.0676323210649775*x11 +
1.06379233853557*x12 - 0.696320725829895*x13 - 1.097184743836*x14 + x23))
+ sqrt(0.0001 + sqr(0.326318571705969*x8 - 0.276665482302796*x9 -
0.44423918101727*x10 - 0.731371681355654*x11 - 0.216268454006558*x12 +
0.381563425973272*x13 + 1.14650802158803*x14 + x23)) + sqrt(0.0001 + sqr(
0.309294812043648*x8 - 0.276249899739334*x9 - 0.46487486259227*x10 -
0.45619219348328*x11 + 0.598823045063504*x12 + 0.881446043646029*x13 -
1.55718957807709*x14 + x23)) + sqrt(0.0001 + sqr(0.255824341060434*x8 -
0.328563082798124*x9 - 0.459669846655876*x10 + 1.06492210191407*x11 -
0.328736003092424*x12 + 0.543355079406207*x13 + 0.0570392618469151*x14 +
x23)) + sqrt(0.0001 + sqr(0.240258432880058*x8 - 0.283949732115171*x9 -
0.493918638501676*x10 + 0.263335874641452*x11 - 0.0236067878498154*x12 +
0.0435577522624278*x13 - 0.423651508968738*x14 + x23)) + sqrt(0.0001 +
sqr(0.316384597369113*x8 - 0.297798474104335*x9 - 0.471111458286512*x10
- 0.345240383352466*x11 - 0.381754866169314*x12 + 0.139297179818001*x13
- 0.591955140476439*x14 + x23)) + sqrt(0.0001 + sqr(0.363096142028111*x8
- 0.33100942900131*x9 - 0.447153888683921*x10 + 0.853830388823701*x11 +
2.27768313005582*x12 - 1.37883664220108*x13 - 0.185034053757423*x14 + x23
)) + sqrt(0.0001 + sqr(0.387059037999289*x8 - 0.359120074630665*x9 -
0.464594245303431*x10 + 0.194401885591959*x11 - 0.799435101502405*x12 +
1.84925024202847*x13 - 0.287298871727776*x14 + x23)) + sqrt(0.0001 + sqr(
0.34985363603928*x8 - 0.36520341284198*x9 - 0.443148443192781*x10 -
1.71498714361905*x11 - 0.974248100878064*x12 - 0.763613486937362*x13 -
0.0140759241744093*x14 + x23)) + sqrt(0.0001 + sqr(0.379682958347761*x8
- 0.313128289693746*x9 - 0.460852095769079*x10 - 1.65540076254997*x11 -
1.40275056483195*x12 - 0.838912324605813*x13 - 1.01479140514974*x14 + x23
)) + sqrt(0.0001 + sqr(0.285925950256959*x8 - 0.357412774584198*x9 -
0.470232091308015*x10 - 1.28906162150211*x11 - 0.488768101237553*x12 +
0.676198807227854*x13 + 0.0224908839334736*x14 + x23)) + sqrt(0.0001 +
sqr(0.311371056520773*x8 - 0.319198846724544*x9 - 0.450984636649362*x10
+ 0.594633555825912*x11 - 0.963515612000739*x12 - 0.839261038596909*x13
- 0.437568637904102*x14 + x23)) + sqrt(0.0001 + sqr(0.28242150278353*x8
- 0.332463696411872*x9 - 0.454410597288131*x10 + 0.0512042941431313*x11
+ 0.547033483228598*x12 + 1.87839612901397*x13 + 0.638052609918008*x14
+ x23)) + sqrt(0.0001 + sqr(0.317098081358558*x8 - 0.282148214441018*x9
- 0.472699468804419*x10 + 0.343075938499291*x11 + 1.14164890173862*x12
+ 0.109841624206992*x13 + 0.307927171048421*x14 + x23)) + sqrt(0.0001 +
sqr(0.27703932464746*x8 - 0.287059940614819*x9 - 0.45689974488958*x10 +
2.08457335261404*x11 + 0.41739778877439*x12 - 1.34059994355744*x13 -
1.34910962736863*x14 + x23)) + sqrt(0.0001 + sqr(0.312396397305534*x8 -
0.285564105542192*x9 - 0.460299749646734*x10 + 0.119592618635339*x11 -
0.820328515221233*x12 + 0.0944865116555206*x13 + 0.748656583711784*x14 +
x23)) + sqrt(0.0001 + sqr(0.261555681146846*x15 - 0.283739981179866*x16
- 0.458386401928001*x17 + 0.908915674177192*x18 - 0.343866734864445*x19
+ 0.662314435445691*x20 + 0.486149648370959*x21 + x24)) + sqrt(0.0001 +
sqr(0.222174684904231*x15 - 0.285297245557811*x16 - 0.443876421397259*x17
+ 1.37547395903746*x18 - 0.31967997022056*x19 - 1.18702134057305*x20 +
1.15320888763318*x21 + x24)) + sqrt(0.0001 + sqr(0.270874355272957*x15 -
0.355549532335666*x16 - 0.450296665868712*x17 + 0.999392489004581*x18 -
0.00611905005372418*x19 + 0.994592146806168*x20 + 0.9069416124432*x21 +
x24)) + sqrt(0.0001 + sqr(0.272836732629432*x15 - 0.377928786425648*x16
- 0.483098351536263*x17 + 0.624782467950266*x18 + 0.218174284515045*x19
+ 0.962119619583899*x20 + 0.107595751236342*x21 + x24)) + sqrt(0.0001 +
sqr(0.311237431988624*x15 - 0.293144711010023*x16 - 0.446802984970518*x17
- 1.98203409295263*x18 - 0.826199950741198*x19 - 1.0043937839472*x20 +
0.752264185266621*x21 + x24)) + sqrt(0.0001 + sqr(0.268967842171685*x15
- 0.362949790072347*x16 - 0.467801964286159*x17 + 1.43053988128271*x18
- 2.09927233750628*x19 - 0.67338903155342*x20 - 0.168952291231008*x21 +
x24)) + sqrt(0.0001 + sqr(0.231899600930635*x15 - 0.365669784266961*x16
- 0.47854117838207*x17 + 1.24821749318554*x18 + 1.5939849451946*x19 +
0.812408896177042*x20 + 0.801700973065633*x21 + x24)) + sqrt(0.0001 +
sqr(0.322891949790261*x15 - 0.366279469097768*x16 - 0.454128052541963*x17
+ 0.713516388434362*x18 - 0.0709392085024772*x19 + 0.122786210013057*x20
+ 1.7605082114828*x21 + x24)) + sqrt(0.0001 + sqr(0.300386610698983*x15
- 0.301683839432236*x16 - 0.455091826098195*x17 + 1.13259524971427*x18
+ 1.22442465130362*x19 + 0.0563072421474938*x20 - 0.146842774095445*x21
+ x24)) + sqrt(0.0001 + sqr(0.32543808900449*x15 - 0.366736413243323*x16
- 0.456210756302371*x17 - 0.777528018237821*x18 + 0.566939617089715*x19
- 0.350931903020219*x20 + 0.632501544542882*x21 + x24)) + sqrt(0.0001 +
sqr(0.295834755671369*x15 - 0.214126246340271*x16 - 0.463960128533233*x17
- 0.601956022789838*x18 + 1.28095924672539*x19 + 0.706797553319987*x20
+ 1.52407070138068*x21 + x24)) + sqrt(0.0001 + sqr(0.309625950689885*x15
- 0.271704088805823*x16 - 0.442755076112321*x17 + 1.53971504783882*x18
+ 0.91495377504424*x19 + 0.595607268823303*x20 + 0.716596189638769*x21
+ x24)) + sqrt(0.0001 + sqr(0.307235236600311*x15 - 0.280905868702574*
x16 - 0.455682345773191*x17 + 0.581676923258357*x18 + 1.01803378587886*
x19 + 0.91943226708907*x20 - 0.229028493778264*x21 + x24)) + sqrt(0.0001
+ sqr(0.299698844450779*x15 - 0.289635097670586*x16 - 0.475022966799211*
x17 - 1.65824033579777*x18 + 1.73047264207974*x19 - 1.18395088149471*x20
- 2.02031946083204*x21 + x24)) + sqrt(0.0001 + sqr(0.297268422067904*x15
- 0.275069716135892*x16 - 0.463389229945361*x17 - 0.0676323210649775*x18
+ 1.06379233853557*x19 - 0.696320725829895*x20 - 1.097184743836*x21 +
x24)) + sqrt(0.0001 + sqr(0.326318571705969*x15 - 0.276665482302796*x16
- 0.44423918101727*x17 - 0.731371681355654*x18 - 0.216268454006558*x19
+ 0.381563425973272*x20 + 1.14650802158803*x21 + x24)) + sqrt(0.0001 +
sqr(0.309294812043648*x15 - 0.276249899739334*x16 - 0.46487486259227*x17
- 0.45619219348328*x18 + 0.598823045063504*x19 + 0.881446043646029*x20
- 1.55718957807709*x21 + x24)) + sqrt(0.0001 + sqr(0.255824341060434*x15
- 0.328563082798124*x16 - 0.459669846655876*x17 + 1.06492210191407*x18
- 0.328736003092424*x19 + 0.543355079406207*x20 + 0.0570392618469151*x21
+ x24)) + sqrt(0.0001 + sqr(0.240258432880058*x15 - 0.283949732115171*
x16 - 0.493918638501676*x17 + 0.263335874641452*x18 - 0.0236067878498154*
x19 + 0.0435577522624278*x20 - 0.423651508968738*x21 + x24)) + sqrt(
0.0001 + sqr(0.316384597369113*x15 - 0.297798474104335*x16 -
0.471111458286512*x17 - 0.345240383352466*x18 - 0.381754866169314*x19 +
0.139297179818001*x20 - 0.591955140476439*x21 + x24)) + sqrt(0.0001 +
sqr(0.363096142028111*x15 - 0.33100942900131*x16 - 0.447153888683921*x17
+ 0.853830388823701*x18 + 2.27768313005582*x19 - 1.37883664220108*x20 -
0.185034053757423*x21 + x24)) + sqrt(0.0001 + sqr(0.387059037999289*x15
- 0.359120074630665*x16 - 0.464594245303431*x17 + 0.194401885591959*x18
- 0.799435101502405*x19 + 1.84925024202847*x20 - 0.287298871727776*x21
+ x24)) + sqrt(0.0001 + sqr(0.34985363603928*x15 - 0.36520341284198*x16
- 0.443148443192781*x17 - 1.71498714361905*x18 - 0.974248100878064*x19
- 0.763613486937362*x20 - 0.0140759241744093*x21 + x24)) + sqrt(0.0001
+ sqr(0.379682958347761*x15 - 0.313128289693746*x16 - 0.460852095769079*
x17 - 1.65540076254997*x18 - 1.40275056483195*x19 - 0.838912324605813*x20
- 1.01479140514974*x21 + x24)) + sqrt(0.0001 + sqr(0.285925950256959*x15
- 0.357412774584198*x16 - 0.470232091308015*x17 - 1.28906162150211*x18
- 0.488768101237553*x19 + 0.676198807227854*x20 + 0.0224908839334736*x21
+ x24)) + sqrt(0.0001 + sqr(0.311371056520773*x15 - 0.319198846724544*
x16 - 0.450984636649362*x17 + 0.594633555825912*x18 - 0.963515612000739*
x19 - 0.839261038596909*x20 - 0.437568637904102*x21 + x24)) + sqrt(0.0001
+ sqr(0.28242150278353*x15 - 0.332463696411872*x16 - 0.454410597288131*
x17 + 0.0512042941431313*x18 + 0.547033483228598*x19 + 1.87839612901397*
x20 + 0.638052609918008*x21 + x24)) + sqrt(0.0001 + sqr(0.317098081358558
*x15 - 0.282148214441018*x16 - 0.472699468804419*x17 + 0.343075938499291*
x18 + 1.14164890173862*x19 + 0.109841624206992*x20 + 0.307927171048421*
x21 + x24)) + sqrt(0.0001 + sqr(0.27703932464746*x15 - 0.287059940614819*
x16 - 0.45689974488958*x17 + 2.08457335261404*x18 + 0.41739778877439*x19
- 1.34059994355744*x20 - 1.34910962736863*x21 + x24)) + sqrt(0.0001 +
sqr(0.312396397305534*x15 - 0.285564105542192*x16 - 0.460299749646734*x17
+ 0.119592618635339*x18 - 0.820328515221233*x19 + 0.0944865116555206*x20
+ 0.748656583711784*x21 + x24))) + objvar =E= 0;
* set non default bounds
* set non default levels
x1.l = -2.46592605579569;
x2.l = 0.0953322553812416;
x3.l = 1.15669478407234;
x4.l = 0.356639822526214;
x5.l = -0.793066517751508;
x6.l = 0.14761461524782;
x7.l = 0.85156441975869;
x8.l = 1.67955609121372;
x9.l = -0.937749701704803;
x10.l = -0.462303448137114;
x11.l = -1.98147698246137;
x12.l = 0.214474230727559;
x13.l = -0.436520331858946;
x14.l = -1.06474665186338;
x15.l = 2.00334700812864;
x16.l = 0.0590093611093898;
x17.l = 0.573150031202676;
x18.l = 1.65270362284789;
x19.l = 0.805968181875189;
x20.l = 0.498219207910907;
x21.l = -1.08280803232728;
x22.l = -0.229673664717357;
x23.l = -0.283860355662058;
x24.l = 0.514881748557891;
* 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;