apm/tp032.apm


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Model tp032
! Source version 1
! Simple APM canonicalizer version 1.3
! APM backend version 1.1
Parameters
End Parameters
Variables
x_1 = 0.1, >= 0
x_2 = 0.7, >= 0
x_3 = 0.2, >= 0
obj
End Variables
Intermediates
myminfun = (x_1 + 3*x_2 + x_3)^2 + 4*(x_1 - x_2)^2
myabsdevnod0_0 = abs(myminfun - 1)
myreldevnod0_0 = abs(myminfun - 1)
myabsdevnod0_1 = abs(x_1)
myreldevnod0_1 = abs(x_1)
myabsdevnod0_2 = abs(x_2)
myreldevnod0_2 = abs(x_2)
myabsdevnod0_3 = abs(x_3 - 1)
myreldevnod0_3 = abs(x_3 - 1)
myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))
myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))
myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3))
myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3))
myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))
myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))
zmyabsdevmax = myabsdevnod2_0
zmyreldevmax = myreldevnod2_0
End Intermediates
Equations
obj = myminfun
1 - x_1 - x_2 - x_3 = 0
6*x_2 + 4*x_3 - x_1^3 - 3 >= 0
End Equations
End Model

Stephan K.H. Seidl