2.4. Summary
of the Objective Function and
Constraints
55
Finally, upper and lower bounds on the variables Qimt and Sijt must be
specified because the river and canal flow rates are limited, as is the reservoir
storage, as explained in Section 1.3:
L m < Q imt
< C m
(2.16)
0 < Sijt < Vj
(2.17)
2.4· Summary of the Objective Function and Constraints
The purpose of this section is to summarize the objective function and
constraints that comprise the model of the river basin system.
Objective
Function
Maximize
ZW
Ν
12
Μ
12
/ = Σ
α
ΣΣ+ Σ
a
Σ ΣXm
ί-l
i-1 £-1
*-l
j**N+l
t-1
T^nax
Μ
Tmax
Μ 12
- Σ « Σ XyiCyi " Σ « Σ Σ 'i&t
(2.ΐ)
*-ι
y-isr+i
<-ι
i-i t-i
Budgetary
Constraints
Μ
α Σ \jtCtt for alii
(2.2)
Institutional
Constraints
Μ
Σ Xyi < 1
for alii
(2.3)
Σ Σ λ„ < 1
(2.4)
Σλ/.<1
for all j = i\T + 1,...,
(2.5)
t—l
\ Jt = 0 or 1
(2.6)