This paper proposes aprocedure to determine the probability of a specific water demand scenario in a Water Distribution Network (WDN). Stochastic correlated demands are generated for each node of the network using scaling laws. In particular, each demand fits a normal probability density function (PDF). To determine the joint probability of water demands at all nodes of the network, each nodal demand is divided in class intervals and a multidimensional contingency table is built. The joint probability represents the occurrence probability of a specific water demand scenario. The presented approach produces valuable information about demand scenarios and their probability of occurrence in a network. This method can find a further application in the robust optimization models for the design and management of WDN.

This paper proposes aprocedure to determine the probability of a specific water demand scenario in a Water Distribution Network (WDN). Stochastic correlated demands are generated for each node of the network using scaling laws. In particular, each demand fits a normal probability density function (PDF). To determine the joint probability of water demands at all nodes of the network, each nodal demand is divided in class intervals and a multidimensional contingency table is built. The joint probability represents the occurrence probability of a specific water demand scenario. The presented approach produces valuable information about demand scenarios and their probability of occurrence in a network. This method can find a further application in the robust optimization models for the design and management of WDN.

Joint probabilities of demands on a water distribution network: A non-parametric approach / Ridolfi, Elena; Ina, Vertommen; Magini, Roberto. - 1558:(2013), pp. 1681-1684. (Intervento presentato al convegno 11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) tenutosi a GREECE nel SEP 21-27, 2013) [10.1063/1.4825853].

Joint probabilities of demands on a water distribution network: A non-parametric approach

Abstract

This paper proposes aprocedure to determine the probability of a specific water demand scenario in a Water Distribution Network (WDN). Stochastic correlated demands are generated for each node of the network using scaling laws. In particular, each demand fits a normal probability density function (PDF). To determine the joint probability of water demands at all nodes of the network, each nodal demand is divided in class intervals and a multidimensional contingency table is built. The joint probability represents the occurrence probability of a specific water demand scenario. The presented approach produces valuable information about demand scenarios and their probability of occurrence in a network. This method can find a further application in the robust optimization models for the design and management of WDN.
Scheda breve Scheda completa
2013
11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)
This paper proposes aprocedure to determine the probability of a specific water demand scenario in a Water Distribution Network (WDN). Stochastic correlated demands are generated for each node of the network using scaling laws. In particular, each demand fits a normal probability density function (PDF). To determine the joint probability of water demands at all nodes of the network, each nodal demand is divided in class intervals and a multidimensional contingency table is built. The joint probability represents the occurrence probability of a specific water demand scenario. The presented approach produces valuable information about demand scenarios and their probability of occurrence in a network. This method can find a further application in the robust optimization models for the design and management of WDN.
water supply; joint probabilities; contingency tables; demand scenarios
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Joint probabilities of demands on a water distribution network: A non-parametric approach / Ridolfi, Elena; Ina, Vertommen; Magini, Roberto. - 1558:(2013), pp. 1681-1684. (Intervento presentato al convegno 11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) tenutosi a GREECE nel SEP 21-27, 2013) [10.1063/1.4825853].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11573/551877`
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