A. Ostfeld et U. Shamir, OPTIMAL OPERATION OF MULTIQUALITY NETWORKS .1. STEADY-STATE CONDITIONS, Journal of water resources planning and management, 119(6), 1993, pp. 645-662
A model is developed for optimal operation of a multiquality water-sup
ply system, under steady-state conditions. The system contains: source
s of different qualities, treatment facilities, pipes, and pumping sta
tions. The objective is to minimize total cost, while delivering to al
l consumers the required quantities, at acceptable qualities and press
ures. A special approximation of the equation for water quality in pip
es is used, which enables the model to select the flow directions in p
ipes as part of the optimization. The steady-state operation of an exa
mple system is optimized: it supplies six consumers from three sources
, two of them with treatment plants, and has three pumping stations an
d 10 pipes. The optimization is carried out with GAMS/MINOS, which emp
loys a projected augmented Lagrangian algorithm. The example system ha
s been analyzed through a base run and four additional runs, aimed at
studying the effects of modifications in key data. The optimal solutio
ns of the five cases demonstrate the response to changes in economic a
nd operational conditions.