Appendix C.
Notation
247
Sjr Minimum acceptable recreation level for reservoir j t acre-ft
= LO(M) for recreation in the reservoir arc
Sijt Storage volume of water in reservoir j at the beginning acre-ft
of month i of year t (also termed carry-over storage),
=FLOW(M) for arc corresponding to the carry-over
storage
tc Critical time at which the dissolved oxygen deficit is days
maximum for reach r
T m
Time water takes to flow from the beginning to the end days
of link m
Tjnax
Length of the planning horizon
yr
TR t Return from operating the system as it exists at the be- $
ginning of year f, for the years t through Tm&*
UBNO
Running time for subroutine BOUND
sec
*OLER
Running time for subroutine OLER
sec
Upper flow capacity of arc (i, j) in Section 3.3
acre-ft
u Vector of shadow prices
Uijt Net unregulated flow to reservoir j in month i of year t acre-ft
(deterministic)
Vj Maximum capacity of reservoir,;, =HI(M) for the res- acre-ft
ervoir arc
χ Vector whose elements are variables
X t
Return from operating the system in year t
$
^
V12
ν* μ
v
Xijt Economic return from reservoir j in month i of year t, or $
the operating cost of treatment plant j in month i of
year t
y Vector of decision variables
yki Production of crop k by method I, including new irriga- tons/acre
tion water
i\*BND Years each project is under consideration
yr
Zijt Head of water in reservoir j in month i of year t
ft
ZC Zero cost
Greek
a. Discount factor 1/(1 + τ)* 9 where r is the discount rate
and t is the number of years
β/* 1 indicates a return is available from (the arcs corresponding to) project j (treatment plant or reservoir)
in year t; 0 indicates no return is available
yij Marginal value of increasing u^ by one unit (in Section $/acre-ft
3.3)
y Fraction of water Qij t passing through turbines
hij Marginal value of decreasing Uj by one unit (in Section $/acre-ft
3.3)
dijt Net revenue coefficient for the irrigation water supplied $/acre-ft
using a predetermined crop mix by reservoir j in
month i of year t