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District Metered Areas Design Under Different Decision Makers’ Options: Cost Analysis

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Abstract

Water loss is a big challenge for water supply companies worldwide, and the Water Network Partitioning (WNP) is an excellent tool for water loss management–particularly in the current difficult economic and financial conditions. WNP is a recent research line and consists in dividing the water distribution network into smaller zones called District Metered Areas (DMAs) with one (or more, in exceptional cases) supply point, to reduce the network complexity and/or allow pressure management. Since there are several possible future scenarios, such as the water demand and/or the infrastructure degradation forecasts, which may have different impacts on the hydraulic behaviour, in this paper a computational application, based on an optimization model, is proposed to achieve a compromise between robustness required for the DMAs design (using a baseline scenario) and different decision makers’ options (using other scenarios with a lower “probability” of occurrence), to reduce the total cost. The objective function reflects the minimization of the squared deviations between the total cost of the DMAs design and the minimum cost for each scenario forecasted for the project plan, multiplied by the weight or “probability” of occurrence for each of the scenarios. The performance of the computational application is illustrated with a case study, and the results are encouraging.

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References

  • Aarts E, Korst J (1989) Simulated annealing and Boltzmann machines: a stochastic approach to combinatorial optimization and neural computing. John Wiley and Sons Ltd

  • Awad H, Kapelan Z, Savic D (2008) Analysis of pressure management economics in water distribution systems. Proceedings of the 10th Annual Water Distribution Systems Analysis Conference (WDSA2008), 17–20 Aug, Kruger National Park (South Africa)

  • Awad H, Kapelan Z, Savic D (2009) Optimal setting of time-modulated pressure reducing valves in water distribution networks using genetic algorithms. Integrating Water Systems (CCWI 2009 Conference), 1–3 Sep, University of Sheffield (UK)

  • Di Nardo A, Di Natale M (2011) A heuristic design support methodology based on graph theory for district metering of water supply networks. Eng Optim 43(2):193–211

    Article  Google Scholar 

  • Di Nardo A, Di Natale M, Guida M, Musmarra D (2013) Water network protection from intentional contamination by sectorization. Water Resour Manag 27(6):1837–1850

    Article  Google Scholar 

  • Gomes R (2011) Modelação matemática como ferramenta de gestão e exploração de sistemas de distribuição de água. PhD thesis (in Portuguese), University of Coimbra (Portugal)–available from: https://estudogeral.sib.uc.pt/handle/10316/17988

  • Gomes R, Marques A, Sousa J (2011) Estimation of the benefits yielded by pressure management in water distribution systems. Urban Water J 8(2):65–77

    Article  Google Scholar 

  • Gomes R, Marques A, Sousa J (2012a) Decision support system to divide a large network into suitable District Metered Areas. Water Sci Technol 65(9):1667–1675, IWA Publishing

    Article  Google Scholar 

  • Gomes R, Marques A, Sousa J (2012b) Identification of the optimal entry points at District Metered Areas and implementation of pressure management. Urban Water J 9(6):365–384

    Article  Google Scholar 

  • Green K, Armstrong J, Graefe A (2007) Methods to elicit forecasts from groups: Delphi and prediction markets compared. Int J Appl Forecast 8:17–20

    Google Scholar 

  • Herrera M, Canu S, Karatzoglou A, Pérez-García R, Izquierdo J (2010) An approach to water supply clusters by semi-supervised learning. Proceedings of International Environmental Modelling and Software Society (iEMSs)

  • Hunaidi O, Brothers K (2007) Optimum size of district metered areas. Water Loss Specialist Conference, International Water Association, Bucharest, Romania, 23–26 September 2007

  • Lambert A (2000) What do we know about pressure-leakage relationships in distribution systems? System Approach to Leakage Control and Water Distribution Systems Management, Specialized Conference Proceedings, International Water Association, May, Brno (Czech Republic)

  • Metropolis N, Rosenbluth A, Rosenbluth M, Teller A, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092

    Article  Google Scholar 

  • Morrison J, Tooms S, Rogers D (2007) District metered areas, guidance notes. International Water Association (IWA), specialist group on efficient operation and management of Urban Water Distribution Systems, Water Loss Task Force, 96. Available from: http://www.waterlinks.org/library/nrw-and-water-loss/guidance-notes-district-metered-areas [accessed 30 May 2012]

  • Perelman L, Ostfeld A (2011) Topological clustering for water distribution systems analysis. Environ Model Softw 26:969–972

    Article  Google Scholar 

  • Rajani B, Kleiner Y (2001) Comprehensive review of structural deterioration of water mains: physically based models. Urban Water 3:151–164

    Article  Google Scholar 

  • Rowe G, Wright G (2011) The Delphi technique: past, present, and future prospects–introduction to the special issue. Technol Forecast Soc Chang 78(9):1487–1490

    Article  Google Scholar 

  • Seifollahi S, Bozorg O, Marino M (2013) Water distribution network risk analysis under simultaneous consumption and roughness uncertainties. Water Resour Manag 27(7):2595–2610

    Article  Google Scholar 

  • Sempewo J, Pathirana A, Vairavamoorthy K (2008) Spatial analysis tool for development of leakage control zones from the analogy of distributed computing. In 10th Annual Water Distribution Systems Analysis (WDSA2008), Specialized Conference Proceedings, 17–20 August, Kruger National Park (South Africa)

  • Tabesh M, Asadiyani A, Burrows R (2009) An integrated model to evaluate losses in water distribution systems. Water Resour Manag 23(3):477–492

    Article  Google Scholar 

  • Tzatchkov V, Alcocer-Yamanaka V, Ortiz V (2006) Graph theory based algorithms for water distribution network sectorization projects. In 8th Annual Water Distribution Systems Analysis Symposium, 27–30 August, Cincinnati, Ohio (USA)

  • UKWIR (1999) A manual of DMA practice. UKWIR Eds., London

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Correspondence to Ricardo Gomes.

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Gomes, R., Marques, A.S.A. & Sousa, J. District Metered Areas Design Under Different Decision Makers’ Options: Cost Analysis. Water Resour Manage 27, 4527–4543 (2013). https://doi.org/10.1007/s11269-013-0424-y

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  • DOI: https://doi.org/10.1007/s11269-013-0424-y

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