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A New Model for Reliability-Based Optimal Design of Water Distribution Networks

Author(s): Chengchao Xu; Ian C. Goulter

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Abstract: Over last few decades, considerable effort has been devoted to the development of reliability-based optimization algorithms for the design of water distribution networks. Summaries of this work are given in Mays (1989) and Goulter (1995) This paper presents a new approach for reliability-based optimization of water distribution networks. The approach is capable of recognizing the uncertainty in nodal demands and the pipe capacity as well as the effects of mechanical failure of system components. The main contribution of model lies in the use of a new efficient algorithm, based on the concept of the first order reliability method (FORM), to compute approximate values of the hydraulic reliability of water distribution networks. A probabilistic hydraulic model is used in the model to account for uncertainty in nodal demands and the pipe capacity. The model also incorporates a strategy for identifying the critical nodes upon which the reliability constraints are imposed in the cost minimizing step. The computational efficiency of the optimization is enhanced by deriving the first order derivatives analytically using a sensitivity analysis based technique

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Year: 1997

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