Appendix C.
Notation
245
Ct Present value of available capital at beginning of year t $
Cjt Capital needed for building project j (reservoir or treat- $
ment plant) in year t
CB Capital budgeting
CBi mt
Dissolved oxygen concentration at beginning of link m mg/1
in month i of year t
CEimt
Dissolved oxygen concentration at end of link m in mg/1
month i of year t
COD Chemical oxygen demand
CR t Cumulative net return from the system to the end of $
year t
CSimt
Saturation dissolved oxygen concentration in link m in mg/1
month i of year t
CTi m t
Dissolved oxygen concentration of tributary flow into mg/1
link m in month i of year t
CW%mt
Dissolved oxygen concentration of waste water effluent mg/1
discharged into link m in month i of year t
Dut Amount of water supplied for irrigation from reservoir j acre-ft
in month i of year t
DB i m t Dissolved oxygen deficit at beginning of link m in month mg/1
i of year t
DEimt
Dissolved oxygen deficit at end of link m in month i of mg/1
year t
DO Dissolved oxygen
Eijt Losses from the water in storage in reservoir j during acre-ft
month i of year t
f(x) Objective function
$
fa Flow in arc (i, j) in Section 3.3
acre-ft
F m
Flow in arc m
acre-ft
FETUU*
Net return from a feasible expansion policy over the $
time horizon
Fn Minimum municipal and industrial needs for a subsec- acre-ft
tion of the river basin for month i of year t; =LO(M)
for those arcs specifying municipal and industrial
needs
Fijt
Amount of water supplied for municipal and industrial acre-ft
use from reservoir j in month i of year t
Qj(x)
Inequality constraint
G {N; A} A collection of Ν nodes and a subset A of ordered pairs
taken from Ν
Git Minimum irrigation needs for a subsection of the river acre-ft
basin for month i of year t; =LO(M) for those arcs
specifying irrigation needs
hj(x) Equality constraint
Η at Operating cost of supplying imported water to reservoir mills/acre-ft
j in month i of year t
tt Investment in year t
$
lift Amount of imported water supplied to reservoir j in acre-ft
month i of year t
Notation
245
Ct Present value of available capital at beginning of year t $
Cjt Capital needed for building project j (reservoir or treat- $
ment plant) in year t
CB Capital budgeting
CBi mt
Dissolved oxygen concentration at beginning of link m mg/1
in month i of year t
CEimt
Dissolved oxygen concentration at end of link m in mg/1
month i of year t
COD Chemical oxygen demand
CR t Cumulative net return from the system to the end of $
year t
CSimt
Saturation dissolved oxygen concentration in link m in mg/1
month i of year t
CTi m t
Dissolved oxygen concentration of tributary flow into mg/1
link m in month i of year t
CW%mt
Dissolved oxygen concentration of waste water effluent mg/1
discharged into link m in month i of year t
Dut Amount of water supplied for irrigation from reservoir j acre-ft
in month i of year t
DB i m t Dissolved oxygen deficit at beginning of link m in month mg/1
i of year t
DEimt
Dissolved oxygen deficit at end of link m in month i of mg/1
year t
DO Dissolved oxygen
Eijt Losses from the water in storage in reservoir j during acre-ft
month i of year t
f(x) Objective function
$
fa Flow in arc (i, j) in Section 3.3
acre-ft
F m
Flow in arc m
acre-ft
FETUU*
Net return from a feasible expansion policy over the $
time horizon
Fn Minimum municipal and industrial needs for a subsec- acre-ft
tion of the river basin for month i of year t; =LO(M)
for those arcs specifying municipal and industrial
needs
Fijt
Amount of water supplied for municipal and industrial acre-ft
use from reservoir j in month i of year t
Qj(x)
Inequality constraint
G {N; A} A collection of Ν nodes and a subset A of ordered pairs
taken from Ν
Git Minimum irrigation needs for a subsection of the river acre-ft
basin for month i of year t; =LO(M) for those arcs
specifying irrigation needs
hj(x) Equality constraint
Η at Operating cost of supplying imported water to reservoir mills/acre-ft
j in month i of year t
tt Investment in year t
$
lift Amount of imported water supplied to reservoir j in acre-ft
month i of year t
