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Water Science & Technology  Vol 56 No 9 pp 29.36 © IWA Publishing 2007 doi:10.2166/wst.2007.598

Stochastic Approach for Performance Evaluation Regarding Water Distribution Systems


M. Möderl*, T. Fetz** and W. Rauch*

* Unit of Environmental Engineering, University of Innsbruck, Technikerstr. 13, 6020 Innsbruck, Austria
(E-mail: Michael.Moederl@uibk.ac.at; Wolfgang.Rauch@uibk.ac.at)
** Unit of Engineering Mathematics, University of Innsbruck, Technikerstr. 13, 6020 Innsbruck, Austira
(E-mail: Thomas.Fetz@uibk.ac.at)

 

Abstract

A traditional procedure for performance evaluation of systems is to test approaches on one or more case studies. However, it is well known that the investigation of real case studies is a tedious task. Moreover, due to the limited amount of case studies available it is not certain that all aspects of a problem can be covered in such procedure. With increasing computer power an alternative methodology has emerged, that is the investigation of a multitude of virtual case studies by means of a stochastic consideration of the overall performance. Within the frame of this approach we develop here a modular design system (MDS) for water distribution systems (WDSs). With the algorithmic application of such a MDS it is possible to create a variety of different WDSs. As an example of stochastic performance evaluation the impact of pipe breakages on WDSs is estimated applying a pressure driven performance indicator. This performance indicator is evaluated stochastically. Likewise the performance evaluation of a variety of WDSs is also performed stochastically. Cumulative distribution function, histogram and other statistical properties of 2,280*1,000 performance results of the different WDSs are calculated to highlight the applicability of the introduced stochastic approach.

Keywords: Design, Modular Design System, Performance Evaluation, Pressure Driven, Stochastic Analysis

 

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