A network optimization approach

In order to specify all state variables of the mathematical model of the system (storages, releases and flows), at each time step a network optimization problem is formulated and solved, assuming that:

• system's components and attributes are represented in a digraph form
• each reservoir is replaced by tree nodes, a "source", a "shrink" and a "storage" node
• virtual arcs are used to represent each variable of the water balance equation
• the sum of water that is stored, spilled or consumed is diverted to a "dummy" node
• at each arc of the digraph two attributes are imposed, the capacity uij and the unit cost cij

ΝΑΜΑ Consulting Engineers and Planners S.A.

NTUA - Water Resources, Hdraulic & Maritime Engineering

Water Supply and Sewerage Company of Karditsa Municipality

AEPHORIKE of Dodecanesus Islands S.A.

Marathon Data Systems (MDS)