Tolson, B.A., Maier, H.R., Simpson, A.R. and Lence, B.J. (2004) Genetic Algorithms for Reliability-Based Optimization of Water Distribution Systems. Journal of Water Resources Planning and Management (ASCE), 130, 63-72.
https://doi.org/10.1061/(ASCE)0733-9496(2004)130:1(63)

has been cited by the following article:

• TITLE: Hydraulic Reliability Assessment and Optimal Rehabilitation/Upgrading Schedule for Water Distribution Systems

  AUTHORS: Wei Peng, Rene V. Mayorga

  KEYWORDS: Optimization, Stochastic, Water Distribution, Rehabilitation, Upgrade, Hydraulic Re-liability

  JOURNAL NAME: Applied Mathematics, Vol.7 No.18, December 19, 2016

  ABSTRACT: This paper develops an innovative approach to optimize a long-term rehabilitation and upgrading schedule (RUS) for a water distribution system with considering both hydraulic failure and mechanical performance failure circumstances. The proposed approach assesses hydraulic reliability dynamically and then optimizes the long-term RUS in sequence for a water distribution system. The uncertain hydraulic parameters are treated as random numbers in a stochastic hydraulic reliability assessment. The methodologies used for optimization in a stochastic environment are: Monte Carlo Simulation, EPANET Simulation, Genetic Algorithms, Shamir and Howard’s Exponential Model, Threshold Break Rate Model and Two-Stage Optimization Model. The proposed approach is conducted on a simulation model of water distribution network in a computer by two universal codes, namely the hydraulic reliability code and the optimal RUS code. The applicability of this approach is verified in an example of a benchmark water distribution network.