apm/tp071.apm


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Model tp071
! Source version 2
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
End Parameters
Variables
x_1 = 1, >= 1, <= 5
x_2 = 5, >= 1, <= 5
x_3 = 5, >= 1, <= 5
x_4 = 1, >= 1, <= 5
obj
End Variables
Intermediates
myminfun = x_1*x_4*(x_1 + x_2 + x_3) + x_3
myabsdevnod0_0 = abs(myminfun - 17.0140172891563)
myreldevnod0_0 = abs(myminfun/17.0140172891563 - 1)
myabsdevnod0_1 = abs(x_1 - 1)
myreldevnod0_1 = abs(x_1 - 1)
myabsdevnod0_2 = abs(x_2 - 4.742999637264417)
myreldevnod0_2 = abs(x_2/4.742999637264417 - 1)
myabsdevnod0_3 = abs(x_3 - 3.821149984184874)
myreldevnod0_3 = abs(x_3/3.821149984184874 - 1)
myabsdevnod0_4 = abs(x_4 - 1.379408293172672)
myreldevnod0_4 = abs(x_4/1.379408293172672 - 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))
myabsdevnod1_4 = myabsdevnod0_4
myreldevnod1_4 = myreldevnod0_4
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))
myabsdevnod2_4 = myabsdevnod1_4
myreldevnod2_4 = myreldevnod1_4
myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4))
myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4))
zmyabsdevmax = myabsdevnod3_0
zmyreldevmax = myreldevnod3_0
End Intermediates
Equations
obj = myminfun
x_1^2 + x_2^2 + x_3^2 + x_4^2 - 40 = 0
x_1*x_2*x_3*x_4 - 25 >= 0
End Equations
End Model

Stephan K.H. Seidl