apm/tp057.apm


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


Model tp057
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
a_1 = 8
a_2 = 8
a_3 = 10
a_4 = 10
a_5 = 10
a_6 = 10
a_7 = 12
a_8 = 12
a_9 = 12
a_10 = 12
a_11 = 14
a_12 = 14
a_13 = 14
a_14 = 16
a_15 = 16
a_16 = 16
a_17 = 18
a_18 = 18
a_19 = 20
a_20 = 20
a_21 = 20
a_22 = 22
a_23 = 22
a_24 = 22
a_25 = 24
a_26 = 24
a_27 = 24
a_28 = 26
a_29 = 26
a_30 = 26
a_31 = 28
a_32 = 28
a_33 = 30
a_34 = 30
a_35 = 30
a_36 = 32
a_37 = 32
a_38 = 34
a_39 = 36
a_40 = 36
a_41 = 38
a_42 = 38
a_43 = 40
a_44 = 42
b_1 = 0.49
b_2 = 0.49
b_3 = 0.48
b_4 = 0.47
b_5 = 0.48
b_6 = 0.47
b_7 = 0.46
b_8 = 0.46
b_9 = 0.45
b_10 = 0.43
b_11 = 0.45
b_12 = 0.43
b_13 = 0.43
b_14 = 0.44
b_15 = 0.43
b_16 = 0.43
b_17 = 0.46
b_18 = 0.45
b_19 = 0.42
b_20 = 0.42
b_21 = 0.43
b_22 = 0.41
b_23 = 0.41
b_24 = 0.40
b_25 = 0.42
b_26 = 0.40
b_27 = 0.40
b_28 = 0.41
b_29 = 0.40
b_30 = 0.41
b_31 = 0.41
b_32 = 0.40
b_33 = 0.40
b_34 = 0.40
b_35 = 0.38
b_36 = 0.41
b_37 = 0.40
b_38 = 0.40
b_39 = 0.41
b_40 = 0.38
b_41 = 0.40
b_42 = 0.40
b_43 = 0.39
b_44 = 0.39
End Parameters
Variables
x_1 = 0.42, >= 0.4
x_2 = 5, >= -4
obj
End Variables
Intermediates
aux_1 = b_1 - x_1 - (0.49 - x_1)*exp(-x_2*(a_1 - 8))
aux_2 = b_2 - x_1 - (0.49 - x_1)*exp(-x_2*(a_2 - 8))
aux_3 = b_3 - x_1 - (0.49 - x_1)*exp(-x_2*(a_3 - 8))
aux_4 = b_4 - x_1 - (0.49 - x_1)*exp(-x_2*(a_4 - 8))
aux_5 = b_5 - x_1 - (0.49 - x_1)*exp(-x_2*(a_5 - 8))
aux_6 = b_6 - x_1 - (0.49 - x_1)*exp(-x_2*(a_6 - 8))
aux_7 = b_7 - x_1 - (0.49 - x_1)*exp(-x_2*(a_7 - 8))
aux_8 = b_8 - x_1 - (0.49 - x_1)*exp(-x_2*(a_8 - 8))
aux_9 = b_9 - x_1 - (0.49 - x_1)*exp(-x_2*(a_9 - 8))
aux_10 = b_10 - x_1 - (0.49 - x_1)*exp(-x_2*(a_10 - 8))
aux_11 = b_11 - x_1 - (0.49 - x_1)*exp(-x_2*(a_11 - 8))
aux_12 = b_12 - x_1 - (0.49 - x_1)*exp(-x_2*(a_12 - 8))
aux_13 = b_13 - x_1 - (0.49 - x_1)*exp(-x_2*(a_13 - 8))
aux_14 = b_14 - x_1 - (0.49 - x_1)*exp(-x_2*(a_14 - 8))
aux_15 = b_15 - x_1 - (0.49 - x_1)*exp(-x_2*(a_15 - 8))
aux_16 = b_16 - x_1 - (0.49 - x_1)*exp(-x_2*(a_16 - 8))
aux_17 = b_17 - x_1 - (0.49 - x_1)*exp(-x_2*(a_17 - 8))
aux_18 = b_18 - x_1 - (0.49 - x_1)*exp(-x_2*(a_18 - 8))
aux_19 = b_19 - x_1 - (0.49 - x_1)*exp(-x_2*(a_19 - 8))
aux_20 = b_20 - x_1 - (0.49 - x_1)*exp(-x_2*(a_20 - 8))
aux_21 = b_21 - x_1 - (0.49 - x_1)*exp(-x_2*(a_21 - 8))
aux_22 = b_22 - x_1 - (0.49 - x_1)*exp(-x_2*(a_22 - 8))
aux_23 = b_23 - x_1 - (0.49 - x_1)*exp(-x_2*(a_23 - 8))
aux_24 = b_24 - x_1 - (0.49 - x_1)*exp(-x_2*(a_24 - 8))
aux_25 = b_25 - x_1 - (0.49 - x_1)*exp(-x_2*(a_25 - 8))
aux_26 = b_26 - x_1 - (0.49 - x_1)*exp(-x_2*(a_26 - 8))
aux_27 = b_27 - x_1 - (0.49 - x_1)*exp(-x_2*(a_27 - 8))
aux_28 = b_28 - x_1 - (0.49 - x_1)*exp(-x_2*(a_28 - 8))
aux_29 = b_29 - x_1 - (0.49 - x_1)*exp(-x_2*(a_29 - 8))
aux_30 = b_30 - x_1 - (0.49 - x_1)*exp(-x_2*(a_30 - 8))
aux_31 = b_31 - x_1 - (0.49 - x_1)*exp(-x_2*(a_31 - 8))
aux_32 = b_32 - x_1 - (0.49 - x_1)*exp(-x_2*(a_32 - 8))
aux_33 = b_33 - x_1 - (0.49 - x_1)*exp(-x_2*(a_33 - 8))
aux_34 = b_34 - x_1 - (0.49 - x_1)*exp(-x_2*(a_34 - 8))
aux_35 = b_35 - x_1 - (0.49 - x_1)*exp(-x_2*(a_35 - 8))
aux_36 = b_36 - x_1 - (0.49 - x_1)*exp(-x_2*(a_36 - 8))
aux_37 = b_37 - x_1 - (0.49 - x_1)*exp(-x_2*(a_37 - 8))
aux_38 = b_38 - x_1 - (0.49 - x_1)*exp(-x_2*(a_38 - 8))
aux_39 = b_39 - x_1 - (0.49 - x_1)*exp(-x_2*(a_39 - 8))
aux_40 = b_40 - x_1 - (0.49 - x_1)*exp(-x_2*(a_40 - 8))
aux_41 = b_41 - x_1 - (0.49 - x_1)*exp(-x_2*(a_41 - 8))
aux_42 = b_42 - x_1 - (0.49 - x_1)*exp(-x_2*(a_42 - 8))
aux_43 = b_43 - x_1 - (0.49 - x_1)*exp(-x_2*(a_43 - 8))
aux_44 = b_44 - x_1 - (0.49 - x_1)*exp(-x_2*(a_44 - 8))
s_1 = (aux_1)^2
s_2 = s_1 + (aux_2)^2
s_3 = s_2 + (aux_3)^2
s_4 = s_3 + (aux_4)^2
s_5 = s_4 + (aux_5)^2
s_6 = s_5 + (aux_6)^2
s_7 = s_6 + (aux_7)^2
s_8 = s_7 + (aux_8)^2
s_9 = s_8 + (aux_9)^2
s_10 = s_9 + (aux_10)^2
s_11 = s_10 + (aux_11)^2
s_12 = s_11 + (aux_12)^2
s_13 = s_12 + (aux_13)^2
s_14 = s_13 + (aux_14)^2
s_15 = s_14 + (aux_15)^2
s_16 = s_15 + (aux_16)^2
s_17 = s_16 + (aux_17)^2
s_18 = s_17 + (aux_18)^2
s_19 = s_18 + (aux_19)^2
s_20 = s_19 + (aux_20)^2
s_21 = s_20 + (aux_21)^2
s_22 = s_21 + (aux_22)^2
s_23 = s_22 + (aux_23)^2
s_24 = s_23 + (aux_24)^2
s_25 = s_24 + (aux_25)^2
s_26 = s_25 + (aux_26)^2
s_27 = s_26 + (aux_27)^2
s_28 = s_27 + (aux_28)^2
s_29 = s_28 + (aux_29)^2
s_30 = s_29 + (aux_30)^2
s_31 = s_30 + (aux_31)^2
s_32 = s_31 + (aux_32)^2
s_33 = s_32 + (aux_33)^2
s_34 = s_33 + (aux_34)^2
s_35 = s_34 + (aux_35)^2
s_36 = s_35 + (aux_36)^2
s_37 = s_36 + (aux_37)^2
s_38 = s_37 + (aux_38)^2
s_39 = s_38 + (aux_39)^2
s_40 = s_39 + (aux_40)^2
s_41 = s_40 + (aux_41)^2
s_42 = s_41 + (aux_42)^2
s_43 = s_42 + (aux_43)^2
s_44 = s_43 + (aux_44)^2
mf = s_44
myminfun = mf
myabsdevnod0_0 = abs(myminfun - 0.02845966972298671)
myreldevnod0_0 = abs(myminfun/0.02845966972298671 - 1)
myabsdevnod0_1 = abs(x_1 - 0.4199526507578012)
myreldevnod0_1 = abs(x_1/0.4199526507578012 - 1)
myabsdevnod0_2 = abs(x_2 - 1.284845193624845)
myreldevnod0_2 = abs(x_2/1.284845193624845 - 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 = myabsdevnod0_2
myreldevnod1_2 = myreldevnod0_2
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))
zmyabsdevmax = myabsdevnod2_0
zmyreldevmax = myreldevnod2_0
End Intermediates
Equations
obj = myminfun
0.49*x_2 - x_1*x_2 - 0.09 >= 0
End Equations
End Model

Stephan K.H. Seidl