apm/tp117r2.apm


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Model tp117r2
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
a24a = 4/10
a24b = 4
a24 = a24a
ivxhs_1 = 0.001
ivxhs_2 = 0.001
ivxhs_3 = 0.001
ivxhs_4 = 0.001
ivxhs_5 = 0.001
ivxhs_6 = 0.001
ivxhs_7 = 60
ivxhs_8 = 0.001
ivxhs_9 = 0.001
ivxhs_10 = 0.001
ivxhs_11 = 0.001
ivxhs_12 = 0.001
ivxhs_13 = 0.001
ivxhs_14 = 0.001
ivxhs_15 = 0.001
lbx_1 = 0
lbx_2 = 0
lbx_3 = 1
lbx_4 = 0
lbx_5 = 1
lbx_6 = 1
lbx_7 = 0
lbx_8 = 0
lbx_9 = 0.09
lbx_10 = 0
lbx_11 = 0.1
lbx_12 = 0.3
lbx_13 = 0.3
lbx_14 = 0.2
lbx_15 = 0.1
ivx_1 = (1/2)*(abs(ivxhs_1 - lbx_1) + (ivxhs_1 + lbx_1))
ivx_2 = (1/2)*(abs(ivxhs_2 - lbx_2) + (ivxhs_2 + lbx_2))
ivx_3 = (1/2)*(abs(ivxhs_3 - lbx_3) + (ivxhs_3 + lbx_3))
ivx_4 = (1/2)*(abs(ivxhs_4 - lbx_4) + (ivxhs_4 + lbx_4))
ivx_5 = (1/2)*(abs(ivxhs_5 - lbx_5) + (ivxhs_5 + lbx_5))
ivx_6 = (1/2)*(abs(ivxhs_6 - lbx_6) + (ivxhs_6 + lbx_6))
ivx_7 = (1/2)*(abs(ivxhs_7 - lbx_7) + (ivxhs_7 + lbx_7))
ivx_8 = (1/2)*(abs(ivxhs_8 - lbx_8) + (ivxhs_8 + lbx_8))
ivx_9 = (1/2)*(abs(ivxhs_9 - lbx_9) + (ivxhs_9 + lbx_9))
ivx_10 = (1/2)*(abs(ivxhs_10 - lbx_10) + (ivxhs_10 + lbx_10))
ivx_11 = (1/2)*(abs(ivxhs_11 - lbx_11) + (ivxhs_11 + lbx_11))
ivx_12 = (1/2)*(abs(ivxhs_12 - lbx_12) + (ivxhs_12 + lbx_12))
ivx_13 = (1/2)*(abs(ivxhs_13 - lbx_13) + (ivxhs_13 + lbx_13))
ivx_14 = (1/2)*(abs(ivxhs_14 - lbx_14) + (ivxhs_14 + lbx_14))
ivx_15 = (1/2)*(abs(ivxhs_15 - lbx_15) + (ivxhs_15 + lbx_15))
End Parameters
Variables
x_1 = ivx_1, >= lbx_1
x_2 = ivx_2, >= lbx_2
x_3 = ivx_3, >= lbx_3
x_4 = ivx_4, >= lbx_4
x_5 = ivx_5, >= lbx_5
x_6 = ivx_6, >= lbx_6
x_7 = ivx_7, >= lbx_7
x_8 = ivx_8, >= lbx_8
x_9 = ivx_9, >= lbx_9
x_10 = ivx_10, >= lbx_10
x_11 = ivx_11, >= lbx_11
x_12 = ivx_12, >= lbx_12
x_13 = ivx_13, >= lbx_13
x_14 = ivx_14, >= lbx_14
x_15 = ivx_15, >= lbx_15
obj
End Variables
Intermediates
c_1 = (-15) + 16*x_1 + (7/2)*x_3 - 2*x_6 + x_7 + x_8 - x_9 - x_10 + 60*x_11 - 40*x_12 - 20*x_13 + 64*x_14 - &
20*x_15 + 12*x_11^2
c_2 = (-27) - 2*x_1 + 2*x_2 + 2*x_4 + 9*x_5 + x_7 + 2*x_8 - 2*x_9 - x_10 - 40*x_11 + 78*x_12 - 12*x_13 - &
62*x_14 + 64*x_15 + 24*x_12^2
c_3 = (-36) - 2*x_3 + 2*x_5 + 4*x_6 + x_7 + 3*x_8 - 3*x_9 - x_10 - 20*x_11 - 12*x_12 + 20*x_13 - 12*x_14 - &
20*x_15 + 30*x_13^2
c_4 = (-18) - x_1 - a24*x_2 + 4*x_4 - x_5 + x_7 + 2*x_8 - 4*x_9 - x_10 + 64*x_11 - 62*x_12 - 12*x_13 + &
78*x_14 - 40*x_15 + 18*x_14^2
c_5 = (-12) - 2*x_2 + x_4 + (14/5)*x_5 + x_7 + x_8 - 5*x_9 - x_10 - 20*x_11 + 64*x_12 - 20*x_13 - 40*x_14 + &
60*x_15 + 6*x_15^2
mf = 40*x_1 + 2*x_2 + (1/4)*x_3 + 4*x_4 + 4*x_5 + x_6 + 40*x_7 + 60*x_8 - 5*x_9 - x_10 + 30*x_11^2 - &
40*x_11*x_12 - 20*x_11*x_13 + 64*x_11*x_14 - 20*x_11*x_15 + 39*x_12^2 - 12*x_12*x_13 - 62*x_12*x_14 + &
64*x_12*x_15 + 10*x_13^2 - 12*x_13*x_14 - 20*x_13*x_15 + 39*x_14^2 - 40*x_14*x_15 + 30*x_15^2 + 8*x_11^3 + &
16*x_12^3 + 20*x_13^3 + 12*x_14^3 + 4*x_15^3
myminfun = mf
myabsdevnod0_0 = abs(myminfun - 32.34867896572271)
myreldevnod0_0 = abs(myminfun/32.34867896572271 - 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 - 5.174040727698173)
myreldevnod0_3 = abs(x_3/5.174040727698173 - 1)
myabsdevnod0_4 = abs(x_4)
myreldevnod0_4 = abs(x_4)
myabsdevnod0_5 = abs(x_5 - 3.06110868775845)
myreldevnod0_5 = abs(x_5/3.06110868775845 - 1)
myabsdevnod0_6 = abs(x_6 - 11.83954566480073)
myreldevnod0_6 = abs(x_6/11.83954566480073 - 1)
myabsdevnod0_7 = abs(x_7)
myreldevnod0_7 = abs(x_7)
myabsdevnod0_8 = abs(x_8)
myreldevnod0_8 = abs(x_8)
myabsdevnod0_9 = abs(x_9 - 0.1038961907706158)
myreldevnod0_9 = abs(x_9/0.1038961907706158 - 1)
myabsdevnod0_10 = abs(x_10)
myreldevnod0_10 = abs(x_10)
myabsdevnod0_11 = abs(x_11 - 0.3)
myreldevnod0_11 = abs(x_11/0.3 - 1)
myabsdevnod0_12 = abs(x_12 - 0.3334676065346071)
myreldevnod0_12 = abs(x_12/0.3334676065346071 - 1)
myabsdevnod0_13 = abs(x_13 - 0.4)
myreldevnod0_13 = abs(x_13/0.4 - 1)
myabsdevnod0_14 = abs(x_14 - 0.4283101047816988)
myreldevnod0_14 = abs(x_14/0.4283101047816988 - 1)
myabsdevnod0_15 = abs(x_15 - 0.2239648735607981)
myreldevnod0_15 = abs(x_15/0.2239648735607981 - 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))
myabsdevnod1_14 = (1/2)*(abs(myabsdevnod0_14 - myabsdevnod0_15) + (myabsdevnod0_14 + myabsdevnod0_15))
myreldevnod1_14 = (1/2)*(abs(myreldevnod0_14 - myreldevnod0_15) + (myreldevnod0_14 + myreldevnod0_15))
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 = (1/2)*(abs(myabsdevnod1_12 - myabsdevnod1_14) + (myabsdevnod1_12 + myabsdevnod1_14))
myreldevnod2_12 = (1/2)*(abs(myreldevnod1_12 - myreldevnod1_14) + (myreldevnod1_12 + myreldevnod1_14))
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
End Equations
End Model

Stephan K.H. Seidl