Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/96367
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Type: Journal article
Title: A new look at urban water storage in a series of connected dams
Author: Howlett, P.
Pearce, C.
Piantadosi, J.
Citation: Journal of Applied Probability, 2014; 51(1):118-135
Publisher: Applied Probability Trust
Issue Date: 2014
ISSN: 0021-9002
1475-6072
Statement of
Responsibility: 
Phil Howlett, Charles Pearce, Julia Piantadosi
Abstract: We propose a discrete state-space model for storage of urban stormwater in two connected dams using an optimal pump-to-fill policy to transfer water from the capture dam to the holding dam. We assume stochastic supply to the capture dam and independent stochastic demand from the holding dam. We find new analytic formulae to calculate steady-state probabilities for the contents of each dam and thereby enable operators to better understand system behaviour. We illustrate our methods by considering some particular examples and discuss extension of our analysis to a series of three connected dams.
Keywords: Urban stormwater; water storage; water distribution; systems of connected dams; Markov decision processes
Rights: © Applied Probability Trust 2014
RMID: 0030030249
DOI: 10.1239/jap/1395771418
Appears in Collections:Mathematical Sciences publications

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