Skip to main content
Log in

Utility-Based Maintenance Optimization for Complex Water-Distribution Systems Using Bayesian Networks

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Water supply systems (WSS), as well as other real-world systems, are characterized by complex configurations. For these systems, it is essential to ensure appropriate utility through optimal maintenance planning. The difficulties in decision-making are much increased by lack of information regarding the operation and failure conditions. When maintenance optimization is considered for systems configured as networks, comprising a large number of components, the main challenge is to model the reliability characteristics, such as availability, taking account of the interactions and dependencies between different components. The aim of this paper is to provide an optimal Preventive Maintenance (PM) plan with a view to maximizing the utility of a complex repairable system using Bayesian Networks (BNs). For each node of the BN, the optimal PM periodicity is obtained, in accordance with the policy of periodic imperfect PM with minimal repair at failure. The system availability is then computed, by Bayesian inference, for various combinations of nodes, or subsystems, periodicities and partial renewals before the complete renewal of the whole system. A utility function is then introduced to provide the maintenance plan for the system, leading to the implementation of the best policy. The methodology is illustrated by numerical application on WSS.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Agathokleous A, Xanthos E, Christodoulou SE (2015) Real-time monitoring of water distribution networks. Water Utility J 10:15–24

    Google Scholar 

  • Al-Zahrani MA, Abo-Monasar A (2015) Urban residential water demand prediction based on artificial neural networks and time series models. Water Resour Manag:1–12

  • Christodoulou SE (2011) Water network assessment and reliability analysis by use of survival analysis. Water Resour Manag 25:1229–1238

    Article  Google Scholar 

  • Codetta-Raiteri D, Portinale L (2015) Dynamic Bayesian Networks for fault detection, identification, and recovery in autonomous spacecraft Systems. Man, Cybernet: Syst, IEEE Trans 45:13–24

    Google Scholar 

  • Jensen FVLSL, Olesen KG (1990) Bayesian updating in recursive graphical models by local computations. Comput Stat Q 4:269–289

    Google Scholar 

  • Jones B, Jenkinson I, Yang Z, Wang J (2010) The use of Bayesian network modelling for maintenance planning in a manufacturing industry. Reliab Eng Syst Saf 95:267–277

    Article  Google Scholar 

  • Laggoune R, Chateauneuf A, Aissani D (2009) Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units. Comput Chem Eng 33:1499–1510. doi:10.1016/j.compchemeng.2009.03.003

    Article  Google Scholar 

  • Laggoune R, Chateauneuf A, Aissani D (2010a) Impact of few failure data on the opportunistic replacement policy for multi-component systems. Reliab Eng Syst Saf 95:108–119. doi:10.1016/j.ress.2009.08.007

    Article  Google Scholar 

  • Laggoune R, Chateauneuf A, Aissani D (2010b) Preventive maintenance scheduling for a multi-component system with non-negligible replacement time. Int J Syst Sci 41:747–761. doi:10.1080/00207720903230765

    Article  Google Scholar 

  • Langseth H, Portinale L (2007) Bayesian networks in reliability. Reliab Eng Syst Saf 92:92–108. doi:10.1016/j.ress.2005.11.037

    Article  Google Scholar 

  • Large A, Le Gat Y, Elachachi S, Renaud E, Breysse D, Tomasian M (2015) Decision support tools: review of risk models in drinking water network asset management. Water Util J 10:45–53

    Google Scholar 

  • Leu S-S, Bui Q-N (2016) Leak prediction model for water distribution networks created using a Bayesian network learning approach. Water Resour Manag:1–15

  • Muller A, Suhner M-C, Iung B (2008) Formalisation of a new prognosis model for supporting proactive maintenance implementation on industrial system. Reliab Eng Syst Saf 93:234–253

    Article  Google Scholar 

  • Neil M, Marquez D (2012) Availability modelling of repairable systems using Bayesian networks. Eng Appl Artif Intell 25:698–704. doi:10.1016/j.engappai.2010.06.003

    Article  Google Scholar 

  • Seo J, Bai D (2004) An optimal maintenance policy for a system under periodic overhaul. Math Comput Model 39:373–380

    Article  Google Scholar 

  • Simon C, Weber P, Evsukoff A (2008) Bayesian networks inference algorithm to implement Dempster Shafer theory in reliability analysis. Reliab Eng Syst Saf 93:950–963. doi:10.1016/j.ress.2007.03.012

    Article  Google Scholar 

  • Sušnik J, Molina J-L, Vamvakeridou-Lyroudia LS, Savić DA, Kapelan Z (2013) Comparative analysis of system dynamics and object-oriented Bayesian networks modelling for water systems management. Water Resour Manag 27:819–841

    Article  Google Scholar 

  • Trojan F, Morais DC (2015) Maintenance management decision model for reduction of losses in water distribution networks. Water Resour Manag:1–21

  • Tsakiris G (2015) The status of the European waters in 2015: a review Environmental Processes 2:543–557

  • Wang HZ (2002) A survey of maintenance policies of deteriorating systems. Eur J Oper Res 139:469–489

    Article  Google Scholar 

  • Weber P, Medina-Oliva G, Simon C, Iung B (2012) Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas. Eng Appl Artif Intell 25:671–682. doi:10.1016/j.engappai.2010.06.002

    Article  Google Scholar 

  • Yannopoulos S, Spiliotis M (2013) Water distribution system reliability based on minimum cut–set approach and the hydraulic availability. Water Resour Manag 27:1821–1836

    Article  Google Scholar 

  • Yeh RH, Kao K-C, Chang WL (2009) Optimal preventive maintenance policy for leased equipment using failure rate reduction. Comput Ind Eng 57:304–309

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to El Hassene Ait Mokhtar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ait Mokhtar, E.H., Laggoune, R. & Chateauneuf, A. Utility-Based Maintenance Optimization for Complex Water-Distribution Systems Using Bayesian Networks. Water Resour Manage 30, 4153–4170 (2016). https://doi.org/10.1007/s11269-016-1412-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-016-1412-9

Keywords

Navigation