O. Fujiwara et T. Ganesharajah, RELIABILITY ASSESSMENT OF WATER-SUPPLY SYSTEMS WITH STORAGE AND DISTRIBUTION NETWORKS, Water resources research, 29(8), 1993, pp. 2917-2924
The water supply system studied in this paper consists of a water trea
tment plant, a ground-level storage, a pumping station, and a distribu
tion network in series. Expected served demand is employed to measure
reliability taking into account both insufficient heads and flows at i
ndividual nodes in the network since it is the most important service
level index provided to individual users. A basic method proposed is t
o assume that the insufficient nodal head reduces the effectiveness of
flow supplied at the node and that the authority provides the maximum
service to customers so that the real-time pump and network flow oper
ations maximize the effective served system demand. The average value
of the maximum effective served system demand relative to the total sy
stem demand over all system states is defined as system reliability, a
nd the nodal reliability for each demand node is similarly defined. Th
e Markov chain method introduced by Beim and Hobbs (1988) is employed
to describe the evolution of the storage level over time so that the r
eal-time pump and network flow operations can be accurately implemente
d by solving a nonlinear programming model. Two example systems are pr
esented to demonstrate numerically the advantage of the method propose
d in its consideration of the distribution network and nodal reliabili
ties.