24
1.
Introduction
Table 1.3
Data for Nonlinear Programming Example
Sm0
raain
Vm t
Reservoir
(acre-ft)
(acre-ft)
α
(acre-ft)
b
(acre-ft)
(acre-ft)
Ejt
1
83,400
3,000
95,000
400
8,000
85,000
2
87,560
3,000
95,000
400
8,000
89,000
3
92,500
3,000
95,000
400
8,000
93,000
Period,
Qo»
/
(acre-ft)
1
1800
2
3100
3
3600
4
3200
5
2000
Values of the coefficients in the objective function including the discount factor
Period, t
Variable
1
2
3
4
5
Ο,ι t
0.65 X IO"
3
0.83 X IO"
3
0.90 X 10"
3
0.83 X 10"
3
0.65 X io3
0.43 X IO"
4
0.54 X 10~
4
0.51 X ΙΟ"
4
0.45 X 10"
4
0.32 X ΙΟ"
4
o,u
0.78 X ΙΟ"
4
0.10 X 10~
3
0.11 X 10"
3
0.10 X 10~
3
0.78 X io4
fell 0.23 X 10"
1
0.24 X IO"
1
0.24 X 10"
1
0.24 X ίο1
0.23 X IO"
1
b2t
0.22 X 10"
1
0.23 X 10"
1
0.24 X 10"
1
0.23 X 10"
1
0.22 X IO"
1
0.47 X 10"
1
0.47 X 10"
1
0.50 X 10"
1
0.47 X 10"
1
0.47 X IO"
1
Cu
0.39 X 10
s
0.35 X 10
3
0.28 X 10
3
0.35 X 10
3
0.39 X 10
3
C2t
0.58 X 10
3
0.52 X 10
s
0.42 X 10*
0.52 X 10
3
0.58 X 10
s
Cit
0.13 X 10*
0.12 X 10*
0.97 X 10
s
0.12 X 10
4
0.13 X 10
4
du
0.87 X ΙΟ"
6
0.78 X 10"
5
0.64 X ΙΟ"
5
0.78 X 10"
5
0.87 X io-«
0.82 X ios
0.74 X ΙΟ
-8
0.60 X 10"
8
0.74 X 10~
5
0.82 X io6
dit
0.76 X IO"
6
0.68 X 10~
5
0.56 X 10~
5
0.68 X io-» 0.76 X 10~
6
* D^T is zero.
= 300.
As to a nonlinear objective function, let us assume that the irrigation
revenues are a quadratic function of D 3t :
irrigation revenue = ajtD% +
bjj)jt
where aj t and bj t are known constants. Let us also suppose that recreational