Posing
the flow allocation problem
Assuming that parameters
ai and bi are known, the desired releases Ri* from
each reservoir i will be also known at the beginning of each time
step, according to the parametric operation rules. The knowledge of the
desired release values may not be sufficient for the specification of
all system's state variables (i.e., the actual releases and discharges)
because of at least one of the reasons below:
- due
to discharge capacity constraints, the actual releases may differ
from the desired ones
- the flows in the network can be conveyed via multiple paths, each one having
a different cost
- multiple and contradictory operational targets have to be satisfied simultaneously
- the total water availability is less than the total demand
Therefore, a flow
allocation problem arises, demanding to:
- satisfy
strictly all the physical constraints of the system
- handle all the operational constraints, according to a predefined priority series
- minimize the total water transportation cost
- minimize the deviation between the actual and the desired releases, in order
to satisfy, albeit approximately, the operation rules of the system
- minimize system's losses that are due to spill
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