apm/tp086.apm


If Cut/Copy and Paste fails, then click here for download.


Model tp086
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
a24a = 0.4
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 = -3.5
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 = -2.8
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 = -0.25
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
sumax_1_0 = 0
sumax_2_0 = 0
sumax_3_0 = 0
sumax_4_0 = 0
sumax_5_0 = 0
sumax_6_0 = 0
sumax_7_0 = 0
sumax_8_0 = 0
sumax_9_0 = 0
sumax_10_0 = 0
sumex_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 = 0, >= 0
x_2 = 0, >= 0
x_3 = 0, >= 0
x_4 = 0, >= 0
x_5 = 1, >= 0
obj
End Variables
Intermediates
sumax_1_1 = sumax_1_0 + a_1_1*x_1
sumax_1_2 = sumax_1_1 + a_1_2*x_2
sumax_1_3 = sumax_1_2 + a_1_3*x_3
sumax_1_4 = sumax_1_3 + a_1_4*x_4
sumax_1_5 = sumax_1_4 + a_1_5*x_5
sumax_2_1 = sumax_2_0 + a_2_1*x_1
sumax_2_2 = sumax_2_1 + a_2_2*x_2
sumax_2_3 = sumax_2_2 + a_2_3*x_3
sumax_2_4 = sumax_2_3 + a_2_4*x_4
sumax_2_5 = sumax_2_4 + a_2_5*x_5
sumax_3_1 = sumax_3_0 + a_3_1*x_1
sumax_3_2 = sumax_3_1 + a_3_2*x_2
sumax_3_3 = sumax_3_2 + a_3_3*x_3
sumax_3_4 = sumax_3_3 + a_3_4*x_4
sumax_3_5 = sumax_3_4 + a_3_5*x_5
sumax_4_1 = sumax_4_0 + a_4_1*x_1
sumax_4_2 = sumax_4_1 + a_4_2*x_2
sumax_4_3 = sumax_4_2 + a_4_3*x_3
sumax_4_4 = sumax_4_3 + a_4_4*x_4
sumax_4_5 = sumax_4_4 + a_4_5*x_5
sumax_5_1 = sumax_5_0 + a_5_1*x_1
sumax_5_2 = sumax_5_1 + a_5_2*x_2
sumax_5_3 = sumax_5_2 + a_5_3*x_3
sumax_5_4 = sumax_5_3 + a_5_4*x_4
sumax_5_5 = sumax_5_4 + a_5_5*x_5
sumax_6_1 = sumax_6_0 + a_6_1*x_1
sumax_6_2 = sumax_6_1 + a_6_2*x_2
sumax_6_3 = sumax_6_2 + a_6_3*x_3
sumax_6_4 = sumax_6_3 + a_6_4*x_4
sumax_6_5 = sumax_6_4 + a_6_5*x_5
sumax_7_1 = sumax_7_0 + a_7_1*x_1
sumax_7_2 = sumax_7_1 + a_7_2*x_2
sumax_7_3 = sumax_7_2 + a_7_3*x_3
sumax_7_4 = sumax_7_3 + a_7_4*x_4
sumax_7_5 = sumax_7_4 + a_7_5*x_5
sumax_8_1 = sumax_8_0 + a_8_1*x_1
sumax_8_2 = sumax_8_1 + a_8_2*x_2
sumax_8_3 = sumax_8_2 + a_8_3*x_3
sumax_8_4 = sumax_8_3 + a_8_4*x_4
sumax_8_5 = sumax_8_4 + a_8_5*x_5
sumax_9_1 = sumax_9_0 + a_9_1*x_1
sumax_9_2 = sumax_9_1 + a_9_2*x_2
sumax_9_3 = sumax_9_2 + a_9_3*x_3
sumax_9_4 = sumax_9_3 + a_9_4*x_4
sumax_9_5 = sumax_9_4 + a_9_5*x_5
sumax_10_1 = sumax_10_0 + a_10_1*x_1
sumax_10_2 = sumax_10_1 + a_10_2*x_2
sumax_10_3 = sumax_10_2 + a_10_3*x_3
sumax_10_4 = sumax_10_3 + a_10_4*x_4
sumax_10_5 = sumax_10_4 + a_10_5*x_5
ineq_1 = sumax_1_5 - b_1
ineq_2 = sumax_2_5 - b_2
ineq_3 = sumax_3_5 - b_3
ineq_4 = sumax_4_5 - b_4
ineq_5 = sumax_5_5 - b_5
ineq_6 = sumax_6_5 - b_6
ineq_7 = sumax_7_5 - b_7
ineq_8 = sumax_8_5 - b_8
ineq_9 = sumax_9_5 - b_9
ineq_10 = sumax_10_5 - b_10
sumex_1 = sumex_0 + e_1*x_1
sumex_2 = sumex_1 + e_2*x_2
sumex_3 = sumex_2 + e_3*x_3
sumex_4 = sumex_3 + e_4*x_4
sumex_5 = sumex_4 + e_5*x_5
sumcxxi_1_1 = sumcxxi_1_0 + c_1_1*x_1*x_1
sumcxxi_1_2 = sumcxxi_1_1 + c_1_2*x_1*x_2
sumcxxi_1_3 = sumcxxi_1_2 + c_1_3*x_1*x_3
sumcxxi_1_4 = sumcxxi_1_3 + c_1_4*x_1*x_4
sumcxxi_1_5 = sumcxxi_1_4 + c_1_5*x_1*x_5
sumcxxi_2_1 = sumcxxi_2_0 + c_2_1*x_2*x_1
sumcxxi_2_2 = sumcxxi_2_1 + c_2_2*x_2*x_2
sumcxxi_2_3 = sumcxxi_2_2 + c_2_3*x_2*x_3
sumcxxi_2_4 = sumcxxi_2_3 + c_2_4*x_2*x_4
sumcxxi_2_5 = sumcxxi_2_4 + c_2_5*x_2*x_5
sumcxxi_3_1 = sumcxxi_3_0 + c_3_1*x_3*x_1
sumcxxi_3_2 = sumcxxi_3_1 + c_3_2*x_3*x_2
sumcxxi_3_3 = sumcxxi_3_2 + c_3_3*x_3*x_3
sumcxxi_3_4 = sumcxxi_3_3 + c_3_4*x_3*x_4
sumcxxi_3_5 = sumcxxi_3_4 + c_3_5*x_3*x_5
sumcxxi_4_1 = sumcxxi_4_0 + c_4_1*x_4*x_1
sumcxxi_4_2 = sumcxxi_4_1 + c_4_2*x_4*x_2
sumcxxi_4_3 = sumcxxi_4_2 + c_4_3*x_4*x_3
sumcxxi_4_4 = sumcxxi_4_3 + c_4_4*x_4*x_4
sumcxxi_4_5 = sumcxxi_4_4 + c_4_5*x_4*x_5
sumcxxi_5_1 = sumcxxi_5_0 + c_5_1*x_5*x_1
sumcxxi_5_2 = sumcxxi_5_1 + c_5_2*x_5*x_2
sumcxxi_5_3 = sumcxxi_5_2 + c_5_3*x_5*x_3
sumcxxi_5_4 = sumcxxi_5_3 + c_5_4*x_5*x_4
sumcxxi_5_5 = sumcxxi_5_4 + c_5_5*x_5*x_5
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_1^3
sumdx_2 = sumdx_1 + d_2*x_2^3
sumdx_3 = sumdx_2 + d_3*x_3^3
sumdx_4 = sumdx_3 + d_4*x_4^3
sumdx_5 = sumdx_4 + d_5*x_5^3
mf = sumex_5 + sumcxx_5 + sumdx_5
myminfun = mf
myabsdevnod0_0 = abs(myminfun + 32.34867896572271)
myreldevnod0_0 = abs(myminfun/32.34867896572271 + 1)
myabsdevnod0_1 = abs(x_1 - 0.3)
myreldevnod0_1 = abs(x_1/0.3 - 1)
myabsdevnod0_2 = abs(x_2 - 0.3334676065346071)
myreldevnod0_2 = abs(x_2/0.3334676065346071 - 1)
myabsdevnod0_3 = abs(x_3 - 0.4)
myreldevnod0_3 = abs(x_3/0.4 - 1)
myabsdevnod0_4 = abs(x_4 - 0.4283101047816988)
myreldevnod0_4 = abs(x_4/0.4283101047816988 - 1)
myabsdevnod0_5 = abs(x_5 - 0.2239648735607981)
myreldevnod0_5 = abs(x_5/0.2239648735607981 - 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))
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
ineq_1 >= 0
ineq_2 >= 0
ineq_3 >= 0
ineq_4 >= 0
ineq_5 >= 0
ineq_6 >= 0
ineq_7 >= 0
ineq_8 >= 0
ineq_9 >= 0
ineq_10 >= 0
End Equations
End Model

Stephan K.H. Seidl