apm/tp117r1.apm


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Model tp117r1
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
a24a = 4/10
a24b = 4
a24 = a24a
a_1_1 = -16
a_1_2 = 2
a_1_3 = 0
a_1_4 = 1
a_1_5 = 0
a_2_1 = 0
a_2_2 = -2
a_2_3 = 0
a_2_4 = a24
a_2_5 = 2
a_3_1 = -35/10
a_3_2 = 0
a_3_3 = 2
a_3_4 = 0
a_3_5 = 0
a_4_1 = 0
a_4_2 = -2
a_4_3 = 0
a_4_4 = -4
a_4_5 = -1
a_5_1 = 0
a_5_2 = -9
a_5_3 = -2
a_5_4 = 1
a_5_5 = -28/10
a_6_1 = 2
a_6_2 = 0
a_6_3 = -4
a_6_4 = 0
a_6_5 = 0
a_7_1 = -1
a_7_2 = -1
a_7_3 = -1
a_7_4 = -1
a_7_5 = -1
a_8_1 = -1
a_8_2 = -2
a_8_3 = -3
a_8_4 = -2
a_8_5 = -1
a_9_1 = 1
a_9_2 = 2
a_9_3 = 3
a_9_4 = 4
a_9_5 = 5
a_10_1 = 1
a_10_2 = 1
a_10_3 = 1
a_10_4 = 1
a_10_5 = 1
b_1 = -40
b_2 = -2
b_3 = -1/4
b_4 = -4
b_5 = -4
b_6 = -1
b_7 = -40
b_8 = -60
b_9 = 5
b_10 = 1
c_1_1 = 30
c_1_2 = -20
c_1_3 = -10
c_1_4 = 32
c_1_5 = -10
c_2_1 = -20
c_2_2 = 39
c_2_3 = -6
c_2_4 = -31
c_2_5 = 32
c_3_1 = -10
c_3_2 = -6
c_3_3 = 10
c_3_4 = -6
c_3_5 = -10
c_4_1 = 32
c_4_2 = -31
c_4_3 = -6
c_4_4 = 39
c_4_5 = -20
c_5_1 = -10
c_5_2 = 32
c_5_3 = -10
c_5_4 = -20
c_5_5 = 30
d_1 = 4
d_2 = 8
d_3 = 10
d_4 = 6
d_5 = 2
e_1 = -15
e_2 = -27
e_3 = -36
e_4 = -18
e_5 = -12
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))
sumcx_1_0 = 0
sumcx_2_0 = 0
sumcx_3_0 = 0
sumcx_4_0 = 0
sumcx_5_0 = 0
sumax_1_0 = 0
sumax_2_0 = 0
sumax_3_0 = 0
sumax_4_0 = 0
sumax_5_0 = 0
sumbx_0 = 0
sumcxxi_1_0 = 0
sumcxxi_2_0 = 0
sumcxxi_3_0 = 0
sumcxxi_4_0 = 0
sumcxxi_5_0 = 0
sumcxx_0 = 0
sumdx_0 = 0
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
sumcx_1_1 = sumcx_1_0 + c_1_1*x_11
sumcx_1_2 = sumcx_1_1 + c_2_1*x_12
sumcx_1_3 = sumcx_1_2 + c_3_1*x_13
sumcx_1_4 = sumcx_1_3 + c_4_1*x_14
sumcx_1_5 = sumcx_1_4 + c_5_1*x_15
sumcx_2_1 = sumcx_2_0 + c_1_2*x_11
sumcx_2_2 = sumcx_2_1 + c_2_2*x_12
sumcx_2_3 = sumcx_2_2 + c_3_2*x_13
sumcx_2_4 = sumcx_2_3 + c_4_2*x_14
sumcx_2_5 = sumcx_2_4 + c_5_2*x_15
sumcx_3_1 = sumcx_3_0 + c_1_3*x_11
sumcx_3_2 = sumcx_3_1 + c_2_3*x_12
sumcx_3_3 = sumcx_3_2 + c_3_3*x_13
sumcx_3_4 = sumcx_3_3 + c_4_3*x_14
sumcx_3_5 = sumcx_3_4 + c_5_3*x_15
sumcx_4_1 = sumcx_4_0 + c_1_4*x_11
sumcx_4_2 = sumcx_4_1 + c_2_4*x_12
sumcx_4_3 = sumcx_4_2 + c_3_4*x_13
sumcx_4_4 = sumcx_4_3 + c_4_4*x_14
sumcx_4_5 = sumcx_4_4 + c_5_4*x_15
sumcx_5_1 = sumcx_5_0 + c_1_5*x_11
sumcx_5_2 = sumcx_5_1 + c_2_5*x_12
sumcx_5_3 = sumcx_5_2 + c_3_5*x_13
sumcx_5_4 = sumcx_5_3 + c_4_5*x_14
sumcx_5_5 = sumcx_5_4 + c_5_5*x_15
sumax_1_1 = sumax_1_0 + a_1_1*x_1
sumax_1_2 = sumax_1_1 + a_2_1*x_2
sumax_1_3 = sumax_1_2 + a_3_1*x_3
sumax_1_4 = sumax_1_3 + a_4_1*x_4
sumax_1_5 = sumax_1_4 + a_5_1*x_5
sumax_1_6 = sumax_1_5 + a_6_1*x_6
sumax_1_7 = sumax_1_6 + a_7_1*x_7
sumax_1_8 = sumax_1_7 + a_8_1*x_8
sumax_1_9 = sumax_1_8 + a_9_1*x_9
sumax_1_10 = sumax_1_9 + a_10_1*x_10
sumax_2_1 = sumax_2_0 + a_1_2*x_1
sumax_2_2 = sumax_2_1 + a_2_2*x_2
sumax_2_3 = sumax_2_2 + a_3_2*x_3
sumax_2_4 = sumax_2_3 + a_4_2*x_4
sumax_2_5 = sumax_2_4 + a_5_2*x_5
sumax_2_6 = sumax_2_5 + a_6_2*x_6
sumax_2_7 = sumax_2_6 + a_7_2*x_7
sumax_2_8 = sumax_2_7 + a_8_2*x_8
sumax_2_9 = sumax_2_8 + a_9_2*x_9
sumax_2_10 = sumax_2_9 + a_10_2*x_10
sumax_3_1 = sumax_3_0 + a_1_3*x_1
sumax_3_2 = sumax_3_1 + a_2_3*x_2
sumax_3_3 = sumax_3_2 + a_3_3*x_3
sumax_3_4 = sumax_3_3 + a_4_3*x_4
sumax_3_5 = sumax_3_4 + a_5_3*x_5
sumax_3_6 = sumax_3_5 + a_6_3*x_6
sumax_3_7 = sumax_3_6 + a_7_3*x_7
sumax_3_8 = sumax_3_7 + a_8_3*x_8
sumax_3_9 = sumax_3_8 + a_9_3*x_9
sumax_3_10 = sumax_3_9 + a_10_3*x_10
sumax_4_1 = sumax_4_0 + a_1_4*x_1
sumax_4_2 = sumax_4_1 + a_2_4*x_2
sumax_4_3 = sumax_4_2 + a_3_4*x_3
sumax_4_4 = sumax_4_3 + a_4_4*x_4
sumax_4_5 = sumax_4_4 + a_5_4*x_5
sumax_4_6 = sumax_4_5 + a_6_4*x_6
sumax_4_7 = sumax_4_6 + a_7_4*x_7
sumax_4_8 = sumax_4_7 + a_8_4*x_8
sumax_4_9 = sumax_4_8 + a_9_4*x_9
sumax_4_10 = sumax_4_9 + a_10_4*x_10
sumax_5_1 = sumax_5_0 + a_1_5*x_1
sumax_5_2 = sumax_5_1 + a_2_5*x_2
sumax_5_3 = sumax_5_2 + a_3_5*x_3
sumax_5_4 = sumax_5_3 + a_4_5*x_4
sumax_5_5 = sumax_5_4 + a_5_5*x_5
sumax_5_6 = sumax_5_5 + a_6_5*x_6
sumax_5_7 = sumax_5_6 + a_7_5*x_7
sumax_5_8 = sumax_5_7 + a_8_5*x_8
sumax_5_9 = sumax_5_8 + a_9_5*x_9
sumax_5_10 = sumax_5_9 + a_10_5*x_10
ineq_1 = 2*sumcx_1_5 + 3*d_1*x_11^2 + e_1 - sumax_1_10
ineq_2 = 2*sumcx_2_5 + 3*d_2*x_12^2 + e_2 - sumax_2_10
ineq_3 = 2*sumcx_3_5 + 3*d_3*x_13^2 + e_3 - sumax_3_10
ineq_4 = 2*sumcx_4_5 + 3*d_4*x_14^2 + e_4 - sumax_4_10
ineq_5 = 2*sumcx_5_5 + 3*d_5*x_15^2 + e_5 - sumax_5_10
sumbx_1 = sumbx_0 + b_1*x_1
sumbx_2 = sumbx_1 + b_2*x_2
sumbx_3 = sumbx_2 + b_3*x_3
sumbx_4 = sumbx_3 + b_4*x_4
sumbx_5 = sumbx_4 + b_5*x_5
sumbx_6 = sumbx_5 + b_6*x_6
sumbx_7 = sumbx_6 + b_7*x_7
sumbx_8 = sumbx_7 + b_8*x_8
sumbx_9 = sumbx_8 + b_9*x_9
sumbx_10 = sumbx_9 + b_10*x_10
sumcxxi_1_1 = sumcxxi_1_0 + c_1_1*x_11*x_11
sumcxxi_1_2 = sumcxxi_1_1 + c_2_1*x_12*x_11
sumcxxi_1_3 = sumcxxi_1_2 + c_3_1*x_13*x_11
sumcxxi_1_4 = sumcxxi_1_3 + c_4_1*x_14*x_11
sumcxxi_1_5 = sumcxxi_1_4 + c_5_1*x_15*x_11
sumcxxi_2_1 = sumcxxi_2_0 + c_1_2*x_11*x_12
sumcxxi_2_2 = sumcxxi_2_1 + c_2_2*x_12*x_12
sumcxxi_2_3 = sumcxxi_2_2 + c_3_2*x_13*x_12
sumcxxi_2_4 = sumcxxi_2_3 + c_4_2*x_14*x_12
sumcxxi_2_5 = sumcxxi_2_4 + c_5_2*x_15*x_12
sumcxxi_3_1 = sumcxxi_3_0 + c_1_3*x_11*x_13
sumcxxi_3_2 = sumcxxi_3_1 + c_2_3*x_12*x_13
sumcxxi_3_3 = sumcxxi_3_2 + c_3_3*x_13*x_13
sumcxxi_3_4 = sumcxxi_3_3 + c_4_3*x_14*x_13
sumcxxi_3_5 = sumcxxi_3_4 + c_5_3*x_15*x_13
sumcxxi_4_1 = sumcxxi_4_0 + c_1_4*x_11*x_14
sumcxxi_4_2 = sumcxxi_4_1 + c_2_4*x_12*x_14
sumcxxi_4_3 = sumcxxi_4_2 + c_3_4*x_13*x_14
sumcxxi_4_4 = sumcxxi_4_3 + c_4_4*x_14*x_14
sumcxxi_4_5 = sumcxxi_4_4 + c_5_4*x_15*x_14
sumcxxi_5_1 = sumcxxi_5_0 + c_1_5*x_11*x_15
sumcxxi_5_2 = sumcxxi_5_1 + c_2_5*x_12*x_15
sumcxxi_5_3 = sumcxxi_5_2 + c_3_5*x_13*x_15
sumcxxi_5_4 = sumcxxi_5_3 + c_4_5*x_14*x_15
sumcxxi_5_5 = sumcxxi_5_4 + c_5_5*x_15*x_15
sumcxx_1 = sumcxx_0 + sumcxxi_1_5
sumcxx_2 = sumcxx_1 + sumcxxi_2_5
sumcxx_3 = sumcxx_2 + sumcxxi_3_5
sumcxx_4 = sumcxx_3 + sumcxxi_4_5
sumcxx_5 = sumcxx_4 + sumcxxi_5_5
sumdx_1 = sumdx_0 + d_1*x_11^3
sumdx_2 = sumdx_1 + d_2*x_12^3
sumdx_3 = sumdx_2 + d_3*x_13^3
sumdx_4 = sumdx_3 + d_4*x_14^3
sumdx_5 = sumdx_4 + d_5*x_15^3
mf = (-1)*sumbx_10 + sumcxx_5 + 2*sumdx_5
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
ineq_1 >= 0
ineq_2 >= 0
ineq_3 >= 0
ineq_4 >= 0
ineq_5 >= 0
End Equations
End Model

Stephan K.H. Seidl