QPLIB

A Library of Quadratic Programming Instances

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QPLIB_0633

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue 79.56070622 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Lima and Grossmann
#Variables nvars 75
#Binary Variables nbinvars 75
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 75
#Nonlinear Binary Variables nnlbinvars 75
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 44
#Positive eigenvalues in objective matrix nobjquadposev 31
#Nonzeros in Objective nobjnz 75
#Nonlinear Nonzeros in Objective nobjnlnz 75
#Quadratic Terms in Objective nobjquadnz 2775
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 1
#Linear Constraints nlincons 1
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 75
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 5550
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 75
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 75
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 75.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_0633.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          2        2        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         76        1       75        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        151       76       75        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,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,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76;

Binary Variables  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,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76;

Equations  e1,e2;


e1.. 0.285022001*b2*b3 + 0.606735928*b2 + 0.786160587*b3 + 1.303856195*b2*b4 + 
     0.725242775*b4 + 1.347449909*b2*b5 + 0.0848164851*b5 + 0.8915680756*b2*b6
      + 0.334925069*b6 + 0.683740235*b2*b7 + 0.980811921*b7 + 1.257449604*b2*b8
      + 0.842776541*b8 + 1.42140554*b2*b9 + 0.491000256*b9 + 0.686034814*b2*b10
      + 0.752922698*b10 + 0.546600176*b2*b11 + 0.678598132*b11 + 1.674292187*b2
     *b12 + 0.526650332*b12 + 1.098934589*b2*b13 + 0.40351111*b13 + 1.331055109
     *b2*b14 + 0.409854439*b14 + 0.7666197104*b2*b15 + 0.233063045*b15 + 
     1.412570561*b2*b16 + 0.854131646*b16 + 1.002486159*b2*b17 + 0.72304175*b17
      + 0.653607544*b2*b18 + 0.896792167*b18 + 1.050430394*b2*b19 + 0.232981821
     *b19 + 0.957901074*b2*b20 + 0.462054597*b20 + 0.851805743*b2*b21 + 
     0.326416018*b21 + 0.708339481*b2*b22 + 0.362867009*b22 + 1.27740872*b2*b23
      + 0.708613304*b23 + 0.947462691*b2*b24 + 0.270376706*b24 + 0.912155069*b2
     *b25 + 0.310559168*b25 + 0.8132850306*b2*b26 + 0.892116404*b26 + 
     1.163440198*b2*b27 + 0.0638291983*b27 + 0.790966984*b2*b28 + 0.0204915163*
     b28 + 1.17703183*b2*b29 + 0.382138177*b29 + 0.636367152*b2*b30 + 
     0.310188382*b30 + 0.891940249*b2*b31 + 0.0562445856*b31 + 0.799748708*b2*
     b32 + 0.125036151*b32 + 1.659833955*b2*b33 + 0.495121959*b33 + 0.958804585
     *b2*b34 + 0.0365698266*b34 + 0.698108139*b2*b35 + 0.485611243*b35 + 
     0.4993639981*b2*b36 + 0.162160856*b36 + 0.640855457*b2*b37 + 0.317974265*
     b37 + 0.710372884*b2*b38 + 0.705576467*b38 + 0.717249224*b2*b39 + 
     0.155531637*b39 + 0.4559957125*b2*b40 + 0.706598222*b40 + 1.038336058*b2*
     b41 + 0.315755185*b41 + 1.484960289*b2*b42 + 0.970817875*b42 + 1.483941428
     *b2*b43 + 0.716750699*b43 + 0.9329760915*b2*b44 + 0.663469788*b44 + 
     1.638290983*b2*b45 + 0.588480192*b45 + 1.290555684*b2*b46 + 0.641476509*
     b46 + 1.219723307*b2*b47 + 0.877114713*b47 + 0.8625057162*b2*b48 + 
     0.0816258628*b48 + 0.1112589616*b2*b49 + 0.793682255*b49 + 0.5733389888*b2
     *b50 + 0.777277732*b50 + 1.161837279*b2*b51 + 0.051959804*b51 + 
     1.281539317*b2*b52 + 0.67569013*b52 + 1.07173129*b2*b53 + 0.405187248*b53
      + 1.164363892*b2*b54 + 0.718907287*b54 + 1.62240385*b2*b55 + 0.92852547*
     b55 + 0.517433355*b2*b56 + 0.763653299*b56 + 0.874663957*b2*b57 + 
     0.679519396*b57 + 1.906188204*b2*b58 + 0.142795069*b58 + 0.9216225962*b2*
     b59 + 0.108503901*b59 + 0.68203877*b2*b60 + 0.547876002*b60 + 1.03794745*
     b2*b61 + 0.232505072*b61 + 0.724188501*b2*b62 + 0.624604654*b62 + 
     1.144015287*b2*b63 + 0.248088248*b63 + 0.3822029724*b2*b64 + 0.136956579*
     b64 + 1.737501027*b2*b65 + 0.879186774*b65 + 0.912165639*b2*b66 + 
     0.464354001*b66 + 1.300292493*b2*b67 + 0.202998179*b67 + 0.534886536*b2*
     b68 + 0.280285755*b68 + 1.047045233*b2*b69 + 0.994350172*b69 + 
     0.4518337061*b2*b70 + 0.378383321*b70 + 1.527019849*b2*b71 + 0.0833009072*
     b71 + 1.269470649*b2*b72 + 0.983731935*b72 + 0.5718021133*b2*b73 + 
     0.064827681*b73 + 1.093956649*b2*b74 + 0.991346584*b74 + 1.255313657*b2*
     b75 + 0.520176598*b75 + 0.577300528*b2*b76 + 0.40575446*b76 + 0.314378602*
     b3*b4 + 0.9224770638*b3*b5 + 0.1127826506*b3*b6 + 1.310875748*b3*b7 + 
     0.495396519*b3*b8 + 0.984853824*b3*b9 + 0.737670851*b3*b10 + 0.6634592191*
     b3*b11 + 0.7948503932*b3*b12 + 1.10844092*b3*b13 + 1.238470703*b3*b14 + 
     1.188257569*b3*b15 + 0.99106014*b3*b16 + 0.6522640231*b3*b17 + 0.954291509
     *b3*b18 + 1.604929712*b3*b19 + 1.14705238*b3*b20 + 0.515104944*b3*b21 + 
     1.474765871*b3*b22 + 0.887193855*b3*b23 + 1.553754696*b3*b24 + 1.550328657
     *b3*b25 + 0.541917908*b3*b26 + 1.380408996*b3*b27 + 0.34907901*b3*b28 + 
     1.453721042*b3*b29 + 1.536537461*b3*b30 + 0.91644488*b3*b31 + 1.503747894*
     b3*b32 + 1.552057605*b3*b33 + 1.767882402*b3*b34 + 1.56853435*b3*b35 + 
     0.5719251171*b3*b36 + 1.034460693*b3*b37 + 0.749554356*b3*b38 + 
     1.087860047*b3*b39 + 1.244569468*b3*b40 + 0.6273166264*b3*b41 + 0.78424665
     *b3*b42 + 1.273750336*b3*b43 + 1.047944021*b3*b44 + 1.351958245*b3*b45 + 
     0.2161135745*b3*b46 + 0.521823143*b3*b47 + 1.84932202*b3*b48 + 1.569153928
     *b3*b49 + 0.538704793*b3*b50 + 0.613046138*b3*b51 + 0.3752601693*b3*b52 + 
     0.603908651*b3*b53 + 0.828899322*b3*b54 + 1.225545788*b3*b55 + 1.643752461
     *b3*b56 + 0.772864862*b3*b57 + 0.0237678585*b3*b58 + 0.720750213*b3*b59 + 
     1.540207538*b3*b60 + 0.75821603*b3*b61 + 0.683748848*b3*b62 + 1.677590282*
     b3*b63 + 1.137688114*b3*b64 + 1.270053727*b3*b65 + 1.041818919*b3*b66 + 
     0.391229425*b3*b67 + 0.0535186278*b3*b68 + 1.104045191*b3*b69 + 
     0.1753373482*b3*b70 + 0.1964478071*b3*b71 + 1.627244976*b3*b72 + 
     0.867746288*b3*b73 + 0.785431013*b3*b74 + 1.340151283*b3*b75 + 
     0.7413574738*b3*b76 + 0.8430141*b4*b5 + 0.58723563*b4*b6 + 1.577405525*b4*
     b7 + 1.213260955*b4*b8 + 1.079630468*b4*b9 + 0.2700570555*b4*b10 + 
     1.438177005*b4*b11 + 0.6603355324*b4*b12 + 0.7477230283*b4*b13 + 
     0.146391095*b4*b14 + 0.558215071*b4*b15 + 0.574914397*b4*b16 + 0.70702378*
     b4*b17 + 1.430117259*b4*b18 + 1.382412669*b4*b19 + 1.867106335*b4*b20 + 
     1.191316554*b4*b21 + 0.4277647519*b4*b22 + 0.5512664937*b4*b23 + 
     1.129982959*b4*b24 + 1.557483987*b4*b25 + 1.572655186*b4*b26 + 0.941047177
     *b4*b27 + 1.068394041*b4*b28 + 0.658781532*b4*b29 + 0.671597395*b4*b30 + 
     0.945107246*b4*b31 + 1.445073535*b4*b32 + 0.2199642471*b4*b33 + 
     1.206046439*b4*b34 + 1.476851762*b4*b35 + 0.572221338*b4*b36 + 1.204433621
     *b4*b37 + 1.087741778*b4*b38 + 0.639576537*b4*b39 + 1.045498392*b4*b40 + 
     1.952349064*b4*b41 + 0.639986748*b4*b42 + 1.129904484*b4*b43 + 0.700231966
     *b4*b44 + 0.340385528*b4*b45 + 1.78430506*b4*b46 + 0.638699619*b4*b47 + 
     0.301212338*b4*b48 + 1.222794343*b4*b49 + 0.971975337*b4*b50 + 0.575564613
     *b4*b51 + 1.728646119*b4*b52 + 1.065732114*b4*b53 + 1.457993761*b4*b54 + 
     1.819913061*b4*b55 + 1.040750867*b4*b56 + 1.223166025*b4*b57 + 1.677533465
     *b4*b58 + 0.1124001787*b4*b59 + 0.8947935668*b4*b60 + 1.374896313*b4*b61
      + 1.128028926*b4*b62 + 1.067765153*b4*b63 + 1.022351743*b4*b64 + 
     1.592343557*b4*b65 + 1.400076062*b4*b66 + 1.846871164*b4*b67 + 0.904324487
     *b4*b68 + 1.095286754*b4*b69 + 1.248487609*b4*b70 + 1.233101179*b4*b71 + 
     1.060516824*b4*b72 + 1.567405009*b4*b73 + 1.484847155*b4*b74 + 0.31898933*
     b4*b75 + 0.836742145*b4*b76 + 0.410626252*b5*b6 + 1.018754108*b5*b7 + 
     0.915022388*b5*b8 + 1.07049772*b5*b9 + 1.67590118*b5*b10 + 1.277326028*b5*
     b11 + 1.116368108*b5*b12 + 1.376664081*b5*b13 + 0.7539883826*b5*b14 + 
     0.1868298991*b5*b15 + 1.023305508*b5*b16 + 0.3931495693*b5*b17 + 
     1.207570266*b5*b18 + 1.365188597*b5*b19 + 0.613262853*b5*b20 + 0.967310015
     *b5*b21 + 0.531859817*b5*b22 + 0.879269844*b5*b23 + 1.622693509*b5*b24 + 
     0.6833296747*b5*b25 + 0.70941726*b5*b26 + 1.550933784*b5*b27 + 1.323483085
     *b5*b28 + 0.722137181*b5*b29 + 1.307783735*b5*b30 + 0.999129944*b5*b31 + 
     0.630550311*b5*b32 + 0.9545724535*b5*b33 + 1.051118834*b5*b34 + 
     0.748193468*b5*b35 + 1.235440449*b5*b36 + 1.052876461*b5*b37 + 1.262741138
     *b5*b38 + 1.113008504*b5*b39 + 1.503717438*b5*b40 + 0.728638538*b5*b41 + 
     1.098529226*b5*b42 + 1.240869149*b5*b43 + 1.215148603*b5*b44 + 1.51819244*
     b5*b45 + 0.968941372*b5*b46 + 0.2812949941*b5*b47 + 1.130533773*b5*b48 + 
     0.9965433169*b5*b49 + 1.058219925*b5*b50 + 0.720663202*b5*b51 + 0.59961783
     *b5*b52 + 0.727306338*b5*b53 + 0.404404444*b5*b54 + 1.442942854*b5*b55 + 
     0.974261346*b5*b56 + 0.600451232*b5*b57 + 0.781702179*b5*b58 + 1.468643798
     *b5*b59 + 0.493689075*b5*b60 + 0.669938958*b5*b61 + 1.312537453*b5*b62 + 
     1.061739347*b5*b63 + 0.9599921853*b5*b64 + 0.730066534*b5*b65 + 
     0.1110445053*b5*b66 + 0.332651112*b5*b67 + 0.882412811*b5*b68 + 0.82692195
     *b5*b69 + 1.246533806*b5*b70 + 0.89160716*b5*b71 + 1.48919086*b5*b72 + 
     1.088237156*b5*b73 + 0.6165624602*b5*b74 + 1.093758726*b5*b75 + 
     1.350992944*b5*b76 + 1.077022542*b6*b7 + 1.708172413*b6*b8 + 0.3562781153*
     b6*b9 + 1.546809891*b6*b10 + 1.557511874*b6*b11 + 0.9854457922*b6*b12 + 
     1.27715504*b6*b13 + 0.239130628*b6*b14 + 0.336810426*b6*b15 + 1.385982895*
     b6*b16 + 0.873762999*b6*b17 + 1.513409408*b6*b18 + 1.001336347*b6*b19 + 
     1.116745795*b6*b20 + 0.968722146*b6*b21 + 0.2220527795*b6*b22 + 
     0.819584578*b6*b23 + 0.501706494*b6*b24 + 0.400143359*b6*b25 + 0.94524511*
     b6*b26 + 0.978178229*b6*b27 + 1.160121493*b6*b28 + 0.6251265391*b6*b29 + 
     1.642643365*b6*b30 + 0.269216153*b6*b31 + 1.128692839*b6*b32 + 1.092455864
     *b6*b33 + 0.7770652283*b6*b34 + 1.216541646*b6*b35 + 0.3801255189*b6*b36
      + 0.611635875*b6*b37 + 1.499004265*b6*b38 + 0.931289133*b6*b39 + 
     1.720850286*b6*b40 + 1.008414882*b6*b41 + 1.176481605*b6*b42 + 
     0.7257260631*b6*b43 + 1.326155953*b6*b44 + 0.473409252*b6*b45 + 
     0.6432033588*b6*b46 + 0.514213295*b6*b47 + 1.036097647*b6*b48 + 
     1.085646891*b6*b49 + 0.991678518*b6*b50 + 1.239557037*b6*b51 + 1.523322236
     *b6*b52 + 1.076746753*b6*b53 + 0.7820806515*b6*b54 + 0.622194227*b6*b55 + 
     1.294375887*b6*b56 + 0.78724055*b6*b57 + 1.696989313*b6*b58 + 1.111331828*
     b6*b59 + 1.449657351*b6*b60 + 0.617432167*b6*b61 + 0.3236609428*b6*b62 + 
     0.852537223*b6*b63 + 1.331778753*b6*b64 + 0.945495723*b6*b65 + 1.267983254
     *b6*b66 + 0.6346947218*b6*b67 + 1.349941353*b6*b68 + 1.331231788*b6*b69 + 
     1.704873645*b6*b70 + 1.186407463*b6*b71 + 0.8243349695*b6*b72 + 
     1.143922075*b6*b73 + 1.032861475*b6*b74 + 1.218878851*b6*b75 + 0.512343542
     *b6*b76 + 1.495035467*b7*b8 + 1.861707613*b7*b9 + 1.366104786*b7*b10 + 
     0.729867447*b7*b11 + 1.214975578*b7*b12 + 0.3785561469*b7*b13 + 
     0.665326438*b7*b14 + 1.523681803*b7*b15 + 0.686865857*b7*b16 + 1.635708637
     *b7*b17 + 0.81460772*b7*b18 + 1.037511727*b7*b19 + 0.5889289719*b7*b20 + 
     1.085752474*b7*b21 + 1.836095692*b7*b22 + 0.5181329191*b7*b23 + 
     1.052290612*b7*b24 + 0.3990176857*b7*b25 + 1.342728959*b7*b26 + 
     1.618895865*b7*b27 + 0.829072799*b7*b28 + 1.194537353*b7*b29 + 1.233719129
     *b7*b30 + 0.9332594441*b7*b31 + 0.365003172*b7*b32 + 1.013411999*b7*b33 + 
     0.829155169*b7*b34 + 0.6089856204*b7*b35 + 1.432720442*b7*b36 + 
     1.525231412*b7*b37 + 1.318768657*b7*b38 + 1.211846283*b7*b39 + 0.547926336
     *b7*b40 + 0.743102748*b7*b41 + 1.19418387*b7*b42 + 1.429663893*b7*b43 + 
     1.097073945*b7*b44 + 0.8930807173*b7*b45 + 0.617757107*b7*b46 + 
     1.203964063*b7*b47 + 1.429899553*b7*b48 + 0.228710408*b7*b49 + 1.358216523
     *b7*b50 + 1.882984192*b7*b51 + 1.597384645*b7*b52 + 1.337069628*b7*b53 + 
     1.405217282*b7*b54 + 1.102286404*b7*b55 + 0.9876979619*b7*b56 + 
     1.594117092*b7*b57 + 0.2931063783*b7*b58 + 1.589374426*b7*b59 + 
     1.452419188*b7*b60 + 0.619998297*b7*b61 + 1.3461814*b7*b62 + 1.054429181*
     b7*b63 + 0.9978360563*b7*b64 + 0.917040333*b7*b65 + 1.000169805*b7*b66 + 
     0.497409591*b7*b67 + 0.6245020586*b7*b68 + 1.767984652*b7*b69 + 
     1.094894577*b7*b70 + 0.772255363*b7*b71 + 0.5335299425*b7*b72 + 
     1.239710528*b7*b73 + 1.355733141*b7*b74 + 1.287903842*b7*b75 + 0.636802823
     *b7*b76 + 1.304784734*b8*b9 + 0.758631445*b8*b10 + 0.8444783575*b8*b11 + 
     0.858196762*b8*b12 + 1.796287177*b8*b13 + 1.669845996*b8*b14 + 0.559059393
     *b8*b15 + 1.179632747*b8*b16 + 1.313936867*b8*b17 + 0.770367539*b8*b18 + 
     0.700134318*b8*b19 + 0.1208266499*b8*b20 + 0.6249078685*b8*b21 + 
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     0.719350905*b71*b76 + 1.386467389*b72*b73 + 0.3505137814*b72*b74 + 
     0.2789384858*b72*b75 + 0.2108577891*b72*b76 + 0.75946655*b73*b74 + 
     0.972835441*b73*b75 + 1.310015188*b73*b76 + 1.452625285*b74*b75 + 
     1.035618608*b74*b76 + 1.140723948*b75*b76 - objvar =E= 0;

e2..    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
      + b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 + b61 + b62
      + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 + b74
      + b75 + b76 =E= 15;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% minimizing objvar;





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