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Formats | gms lp mod qplib |
Problem type probtype | QMQ |
Donor donor | Stefan Vigerske |
#Variables nvars | 48 |
#Binary Variables nbinvars | 2 |
#Integer Variables nintvars | 0 |
#Bounded non-binary Variables nboundedvars | 40 |
#Variables with only one bound nsingleboundedvars | 0 |
#Nonlinear Variables nnlvars | 40 |
#Nonlinear Binary Variables nnlbinvars | 0 |
#Nonlinear Integer Variables nnlintvars | 0 |
Objective Sense objsense | min |
Objective type objtype | quadratic |
Objective curvature objcurvature | indefinite |
#Negative eigenvalues in objective matrix nobjquadnegev | 2 |
#Positive eigenvalues in objective matrix nobjquadposev | 2 |
#Nonzeros in Objective nobjnz | 12 |
#Nonlinear Nonzeros in Objective nobjnlnz | 10 |
#Quadratic Terms in Objective nobjquadnz | 8 |
#Square Terms in Objective nobjquaddiagnz | 0 |
#Constraints ncons | 41 |
#Linear Constraints nlincons | 13 |
#Quadratic Constraints nquadcons | 28 |
#Diagonal Quadratic Constraints ndiagquadcons | 0 |
Constraints curvature conscurvature | indefinite |
#Convex Nonlinear Constraints nconvexnlcons | 0 |
#Concave Nonlinear Constraints nconcavenlcons | 0 |
#Indefinite Nonlinear Constraints nindefinitenlcons | 28 |
#Nonzeros in Jacobian njacobiannz | 168 |
#Nonlinear Nonzeros in Jacobian njacobiannlnz | 100 |
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 100 |
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
#Blocks in Hessian of Lagrangian nlaghessianblocks | 6 |
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 5 |
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 8 |
Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 6.666667 |
Sparsity Jacobian | ![]() |
Sparsity Lag. Hessian | ![]() |
QPLIB_3814.gms
$offlisting * * Equation counts * Total E G L N X C B * 42 40 0 2 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 49 47 2 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 181 71 110 0 * * Solve m using MIQCP minimizing objvar; Variables objvar,x2,x3,x4,x5,x6,x7,b8,b9,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,x43,x44,x45,x46,x47,x48,x49; Positive Variables x2,x3,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,x43,x44,x45,x46,x47,x48,x49; Binary Variables b8,b9; 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; e1.. 0.0093514*x2*x4 - 0.0139904*x2 + 0.0077308*x2*x5 - 0.0005719*x2*x16 + 0.0042656*x2*x17 + 0.0338147*x3*x6 - 0.0661588*x3 + 0.0373349*x3*x7 + 0.0016371*x3*x18 + 0.0288996*x3*x19 - objvar + 0.23947*b8 + 0.75835*b9 =E= 0; e2.. x20 + x21 + x22 + x23 =E= 300; e3.. x24 - x25 - x26 =E= 0; e4.. x27 - x28 - x29 - x30 =E= 0; e5.. x31 - x32 - x33 - x34 =E= 0; e6.. x35 - x36 - x37 =E= 0; e7.. x38 + x39 =E= 1; e8.. x40 + x41 + x42 =E= 1; e9.. x43 + x44 + x45 =E= 1; e10.. x46 + x47 =E= 1; e11.. x16 + x17 + x48 =E= 1; e12.. x18 + x19 + x49 =E= 1; e13.. x2 - 300*b8 =L= 0; e14.. x3 - 300*b9 =L= 0; e15.. -x43*x32 + x10 - 0.3333333333*x20 =E= 0; e16.. -x44*x32 + x11 - 0.3333333333*x20 =E= 0; e17.. -x45*x32 + x12 - 0.3333333333*x20 =E= 0; e18.. -x40*x28 + x13 - 0.3333333333*x21 =E= 0; e19.. -x41*x28 + x14 - 0.3333333333*x21 =E= 0; e20.. -x42*x28 + x15 - 0.3333333333*x21 =E= 0; e21.. (-x38*x24) - x40*x27 + x10 =E= 0; e22.. (-x39*x24) - x41*x27 + x11 =E= 0; e23.. -x42*x27 + x12 =E= 0; e24.. -x43*x31 + x13 =E= 0; e25.. (-x44*x31) - x46*x35 + x14 =E= 0; e26.. (-x45*x31) - x47*x35 + x15 =E= 0; e27.. x38*x25 + x40*x29 + x43*x33 + 0.3333333333*x22 =E= 80; e28.. x39*x25 + x41*x29 + x44*x33 + x46*x36 + 0.3333333333*x22 =E= 30; e29.. x42*x29 + x45*x33 + x47*x36 + 0.3333333333*x22 =E= 20; e30.. x38*x26 + x40*x30 + x43*x34 + 0.3333333333*x23 =E= 20; e31.. x39*x26 + x41*x30 + x44*x34 + x46*x37 + 0.3333333333*x23 =E= 70; e32.. x42*x30 + x45*x34 + x47*x37 + 0.3333333333*x23 =E= 80; e33.. x16*x2 - x10 =E= 0; e34.. x17*x2 - x11 =E= 0; e35.. x48*x2 - x12 =E= 0; e36.. x18*x3 - x13 =E= 0; e37.. x19*x3 - x14 =E= 0; e38.. x49*x3 - x15 =E= 0; e39.. x10*x4 - x38*x24 =E= 0; e40.. x11*x5 - x41*x27 =E= 0; e41.. x14*x6 - x44*x31 =E= 0; e42.. x15*x7 - x47*x35 =E= 0; * set non-default bounds x2.up = 300; x3.up = 300; x4.lo = 0.85; x4.up = 1; x5.lo = 0.85; x5.up = 1; x6.lo = 0.85; x6.up = 1; x7.lo = 0.85; x7.up = 1; x10.up = 100; x11.up = 100; x12.up = 100; x13.up = 100; x14.up = 100; x15.up = 100; x16.up = 1; x17.up = 1; x18.up = 1; x19.up = 1; x20.up = 300; x21.up = 300; x24.up = 300; x25.up = 300; x26.up = 300; x27.up = 300; x28.up = 300; x29.up = 300; x30.up = 300; x31.up = 300; x32.up = 300; x33.up = 300; x34.up = 300; x35.up = 300; x36.up = 300; x37.up = 300; x38.up = 1; x39.up = 1; x40.up = 1; x41.up = 1; x42.up = 1; x43.up = 1; x44.up = 1; x45.up = 1; x46.up = 1; x47.up = 1; x48.up = 1; x49.up = 1; * set non-default levels x4.l = 0.85; x5.l = 0.85; x6.l = 0.85; x7.l = 0.85; 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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