CAPACITY RELIABILITY OF WATER DISTRIBUTION NETWORKS AND OPTIMUM REHABILITATION DECISION-MAKING

Deterioration in pipes contributes to uncertainty about the carrying c apacity in water distribution networks. Capacity reliability, defined as the probability that the carrying capacity meets the flow demand, i s investigated in this paper to aid in maintenance and rehabilitation decision making for water distribution networks. This paper describes the use of capacity reliability for networks with more than one demand node through finding the probability of a feasible flow given probabi lity distributions of flow capacities in the pipes and fixed nodal dem ands. The solution procedure generates a set of inequalities that repr esents a necessary and sufficient condition for feasible flow. A solut ion procedure is proposed for evaluating the probability that all the inequalities are satisfied by (1) eliminating redundant inequalities a nd (2) determining bounds for the probability of feasible flow. A deci sion-making framework is developed that applies both the capacity reli ability measure and the solution approach for maintenance and rehabili tation decision making.