A. Ostfeld et U. Shamir, OPTIMAL OPERATION OF MULTIQUALITY NETWORKS .2. UNSTEADY CONDITIONS, Journal of water resources planning and management, 119(6), 1993, pp. 663-684
A model is developed for optimal operation of a multiquality water-sup
ply network under unsteady conditions, for a time horizon that is divi
ded into a number of time periods. The objective is to minimize total
cost, which includes the cost of water at the sources, of treatment, a
nd of the energy to operate the system. The constraints include equati
ons that describe the change in flow and quality over time throughout
the system, the physical laws of flow and concentrations, and the requ
irements for level of service. The equations that describe concentrati
ons in pipes are of a form that allows the flow direction to reverse d
uring the iterative solution process. The model is solved with GAMS/MI
NOS. An example system is optimized, with two sources, one with a trea
tment plant, two reservoirs, 6 consumers and 11 pipes, operated over f
ive time periods. The system has been analyzed through a base run and
three additional runs.