Reliability-Based Optimal Design of Water Distribution Networks

Xu, Chengchao; Goulter, I. C.

doi:10.1061/(asce)0733-9496(1999)125:6(352)

Cited by 218 publications

(113 citation statements)

References 47 publications

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“…Various surrogate measures of WDS reliability have been proposed including capacity reliability [6,7], resilience [40], robustness [10,11], availability [51]. Bao and Mays [52] proposed three formulations of WDS system reliability which can be calculated from nodal reliability values: minimum nodal reliability, arithmetic mean reliability, and flow-weighted mean reliability.…”

Section: Seismic Reliability Indicatormentioning

confidence: 99%

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Seismic-Reliability-Based Optimal Layout of a Water Distribution Network

Yoo

Jung

Kang

et al. 2016

Water

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Abstract:We proposed an economic, cost-constrained optimal design of a water distribution system (WDS) that maximizes seismic reliability while satisfying pressure constraints. The model quantifies the seismic reliability of a WDS through a series of procedures: stochastic earthquake generation, seismic intensity attenuation, determination of the pipe failure status (normal, leakage, and breakage), pipe failure modeling in hydraulic simulation, and negative pressure treatment. The network's seismic reliability is defined as the ratio of the available quantity of water to the required water demand under stochastic earthquakes. The proposed model allows no pipe option in decisions, making it possible to identify seismic-reliability-based optimal layout for a WDS. The model takes into account the physical impact of earthquake events on the WDS, which ultimately affects the network's boundary conditions (e.g., failure level of pipes). A well-known benchmark network, the Anytown network, is used to demonstrate the proposed model. The network's optimal topology and pipe layouts are determined from a series of optimizations. The results show that installing large redundant pipes degrades the system's seismic reliability because the pipes will cause a large rupture opening under failure. Our model is a useful tool to find the optimal pipe layout that maximizes system reliability under earthquakes.

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Section: Seismic Reliability Indicatormentioning

confidence: 99%

“…The nodal demands, pressure requirements, and pipe roughness coefficients were assumed to be uncertain while optimizing the pipe size. Several later studies also used chance-constrained optimization models for WDS design [7,8].…”

Section: Introductionmentioning

confidence: 99%

Seismic-Reliability-Based Optimal Layout of a Water Distribution Network

Yoo

Jung

Kang

et al. 2016

Water

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“…The model is applied to two similar case studies based on the network in Xu and Goulter (1999). In case study 1 (CS1), Fig.…”

Section: Case Studiesmentioning

confidence: 99%

Robust optimization methodologies for water supply systems design

Marques

Cunha

Sousa

et al. 2012

Drink. Water Eng. Sci.

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Abstract. Water supply systems (WSSs) are vital infrastructures for the well-being of people today. To achieve good customer satisfaction the water supply service must always be able to meet people's needs, in terms of both quantity and quality. But unpredictable extreme conditions can cause severe damage to WSSs and lead to poorer levels of service or even to their failure. Operators dealing with a system's day-to-day operation know that events like burst water mains can compromise the functioning of all or part of a system. To increase a system's reliability, therefore, designs should take into account operating conditions other than normal ones. Recent approaches based on robust optimization can be used to solve optimization problems which involve uncertainty and can find designs which are able to cope with a range of operating conditions. This paper presents a robust optimization model for the optimal design of water supply systems operating under different circumstances. The model presented here uses a hydraulic simulator linked to an optimizer based on a simulated annealing heuristic. The results show that robustness can be included in several ways for varying levels reliability and that it leads to more reliable designs for only small cost increases.

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“…Many different approaches have been developed including stochastic and reliability-based methods that address aleatoric uncertainty due to randomness (Gupta and Bhave 1996;Xu and Goulter 1999a;Laguna et al 2000;Tolson et al 2004;Afshar et al 2005;Kapelan et al 2005;Giustolisi et al 2009;Saleh and Tanyimboh 2013) and fuzzy sets for epistemic uncertainty due to incomplete or imprecise information (Xu and Goulter 1999b;Revelli and Ridolfi 2002;Bhave and Gupta 2004;Vamvakeridou-Lyroudia et al 2005;Gupta and Bhave 2007;Branisavljević et al 2009;Fu and Kapelan 2011;Shibu and Reddy 2011;Spiliotis and Tsakiris 2012;Sivakumar et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks

Tanyimboh

2017

Water Resour Manage

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Evolutionary algorithms are used widely in optimization studies on water distribution networks. The optimization algorithms use simulation models that analyse the networks under various operating conditions. The solution process typically involves cost minimization along with reliability constraints that ensure reasonably satisfactory performance under abnormal operating conditions also. Flow entropy has been employed previously as a surrogate reliability measure. While a body of work exists for a single operating condition under steady state conditions, the effectiveness of flow entropy for systems with multiple operating conditions has received very little attention. This paper describes a multi-objective genetic algorithm that maximizes the flow entropy under multiple operating conditions for any given network. The new methodology proposed is consistent with the maximum entropy formalism that requires active consideration of all the relevant information. Furthermore, an alternative but equivalent flow entropy model that emphasizes the relative uniformity of the nodal demands is described. The flow entropy of water distribution networks under multiple operating conditions is discussed with reference to the joint entropy of multiple probability spaces, which provides the theoretical foundation for the optimization methodology proposed. Besides the rationale, results are included that show that the most robust or failure-tolerant solutions are achieved by maximizing the sum of the entropies.

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Reliability-Based Optimal Design of Water Distribution Networks

Cited by 218 publications

References 47 publications

Seismic-Reliability-Based Optimal Layout of a Water Distribution Network

Seismic-Reliability-Based Optimal Layout of a Water Distribution Network

Robust optimization methodologies for water supply systems design

Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks

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