apm/tp116.apm


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Model tp116
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
End Parameters
Variables
x_1 = 0.5, >= 0.1, <= 1
x_2 = 0.8, >= 0.1, <= 1
x_3 = 0.9, >= 0.1, <= 1
x_4 = 0.1, >= 0.0001, <= 0.1
x_5 = 0.14, >= 0.1, <= 0.9
x_6 = 0.5, >= 0.1, <= 0.9
x_7 = 489, >= 0.1, <= 1000
x_8 = 80, >= 0.1, <= 1000
x_9 = 650, >= 500, <= 1000
x_10 = 450, >= 0.1, <= 500
x_11 = 150, >= 1, <= 150
x_12 = 150, >= 0.0001, <= 150
x_13 = 150, >= 0.0001, <= 150
obj
End Variables
Intermediates
mf = x_11 + x_12 + x_13
c_1 = x_3 - x_2
c_2 = x_2 - x_1
c_3 = 1 - .002*x_7 + .002*x_8
c_4 = mf - 50
c_5 = 250 - mf
c_6 = x_13 - 1.262626*x_10 + 1.231059*x_3*x_10
c_7 = x_5 - .03475*x_2 - .975*x_2*x_5 + .00975*x_2^2
c_8 = x_6 - .03475*x_3 - .975*x_3*x_6 + .00975*x_3^2
c_9 = x_5*x_7 - x_1*x_8 - x_4*x_7 + x_4*x_8
c_10 = 1 - .002*(x_2*x_9 + x_5*x_8 - x_1*x_8 - x_6*x_9) - x_5 - x_6
c_11 = x_2*x_9 - x_3*x_10 - x_6*x_9 - 500*x_2 + 500*x_6 + x_2*x_10
c_12 = x_2 - .9 - .002*(x_2*x_10 - x_3*x_10)
c_13 = x_4 - .03475*x_1 - .975*x_1*x_4 + .00975*x_1^2
c_14 = x_11 - 1.262626*x_8 + 1.231059*x_1*x_8
c_15 = x_12 - 1.262626*x_9 + 1.231059*x_2*x_9
myminfun = mf
myabsdevnod0_0 = abs(myminfun - 97.58750955807048)
myreldevnod0_0 = abs(myminfun/97.58750955807048 - 1)
myabsdevnod0_1 = abs(x_1 - 0.8037731573766545)
myreldevnod0_1 = abs(x_1/0.8037731573766545 - 1)
myabsdevnod0_2 = abs(x_2 - 0.8999858006730378)
myreldevnod0_2 = abs(x_2/0.8999858006730378 - 1)
myabsdevnod0_3 = abs(x_3 - 0.9709824354837897)
myreldevnod0_3 = abs(x_3/0.9709824354837897 - 1)
myabsdevnod0_4 = abs(x_4 - 0.1)
myreldevnod0_4 = abs(x_4/0.1 - 1)
myabsdevnod0_5 = abs(x_5 - 0.1908131762155071)
myreldevnod0_5 = abs(x_5/0.1908131762155071 - 1)
myabsdevnod0_6 = abs(x_6 - 0.4606547828520911)
myreldevnod0_6 = abs(x_6/0.4606547828520911 - 1)
myabsdevnod0_7 = abs(x_7 - 574.0775735827624)
myreldevnod0_7 = abs(x_7/574.0775735827624 - 1)
myabsdevnod0_8 = abs(x_8 - 74.07757358276241)
myreldevnod0_8 = abs(x_8/74.07757358276241 - 1)
myabsdevnod0_9 = abs(x_9 - 500.0161601689685)
myreldevnod0_9 = abs(x_9/500.0161601689685 - 1)
myabsdevnod0_10 = abs(x_10 - 0.1)
myreldevnod0_10 = abs(x_10/0.1 - 1)
myabsdevnod0_11 = abs(x_11 - 20.23309069736758)
myreldevnod0_11 = abs(x_11/20.23309069736758 - 1)
myabsdevnod0_12 = abs(x_12 - 77.34768992730733)
myreldevnod0_12 = abs(x_12/77.34768992730733 - 1)
myabsdevnod0_13 = abs(x_13 - 0.006728933395576131)
myreldevnod0_13 = abs(x_13/0.006728933395576131 - 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 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5))
myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5))
myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7))
myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7))
myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9))
myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9))
myabsdevnod1_10 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11))
myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11))
myabsdevnod1_12 = (1/2)*(abs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13))
myreldevnod1_12 = (1/2)*(abs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13))
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 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6))
myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6))
myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10))
myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10))
myabsdevnod2_12 = myabsdevnod1_12
myreldevnod2_12 = myreldevnod1_12
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))
myabsdevnod3_8 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12))
myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12))
myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8))
myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8))
zmyabsdevmax = myabsdevnod4_0
zmyreldevmax = myreldevnod4_0
End Intermediates
Equations
obj = myminfun
c_1 >= 0
c_2 >= 0
c_3 >= 0
c_4 >= 0
c_5 >= 0
c_6 >= 0
c_7 >= 0
c_8 >= 0
c_9 >= 0
c_10 >= 0
c_11 >= 0
c_12 >= 0
c_13 >= 0
c_14 >= 0
c_15 >= 0
End Equations
End Model

Stephan K.H. Seidl