tp107.apm
Model tp107
! Source version 1
Parameters
c = (48.4/50.176)*sin(.25)
d = (48.4/50.176)*cos(.25)
End Parameters
Variables
x[1] = .8, >= 0
x[2] = .8, >= 0
x[3] = .2
x[4] = .2
x[5] = 1.0454, >= .90909, <= 1.0909
x[6] = 1.0454, >= .90909, <= 1.0909
x[7] = 1.0454, >= .90909, <= 1.0909
x[8] = 0
x[9] = 0
obj
End Variables
Intermediates
y1 = sin(x[8])
y2 = cos(x[8])
y3 = sin(x[9])
y4 = cos(x[9])
y5 = sin(x[8] - x[9])
y6 = cos(x[8] - x[9])
ec[1] = .4 - x[1] + 2*c*x[5]^2 &
- x[5]*x[6]*(d*y1 + c*y2) &
- x[5]*x[7]*(d*y3 + c*y4)
ec[2] = .4 - x[2] + 2*c*x[6]^2 &
+ x[5]*x[6]*(d*y1 - c*y2) &
+ x[6]*x[7]*(d*y5 - c*y6)
ec[3] = .8 + 2*c*x[7]^2 &
+ x[5]*x[7]*(d*y3 - c*y4) &
- x[6]*x[7]*(d*y5 + c*y6)
ec[4] = .2 - x[3] + 2*d*x[5]^2 &
+ x[5]*x[6]*(c*y1 - d*y2) &
+ x[5]*x[7]*(c*y3 - d*y4)
ec[5] = .2 - x[4] + 2*d*x[6]^2 &
- x[5]*x[6]*(c*y1 + d*y2) &
- x[6]*x[7]*(c*y5 + d*y6)
ec[6] = (-.337) + 2*d*x[7]^2 &
- x[5]*x[7]*(c*y3 + d*y4) &
+ x[6]*x[7]*(c*y5 - d*y6)
mf = 3000*x[1] + 1000*x[1]^3 &
+ 2000*x[2] + 666.667*x[2]^3
End Intermediates
Equations
ec[1:6] = 0
obj = mf
! best known objective = 5055.011803543816
! begin of best known solution
! x[1] = 0.6670127623153279
! x[2] = 1.022384717050832
! x[3] = 0.2282871446675199
! x[4] = 0.1848217561297505
! x[5] = 1.0909
! x[6] = 1.0909
! x[7] = 1.069036003142822
! x[8] = 0.1066106224065641
! x[9] = -0.3387876190699065
! end of best known solution
End Equations
End Model
Stephan K.H. Seidl