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March 2014 A new look at urban water storage in a series of connected dams
Phil Howlett, Charles Pearce, Julia Piantadosi
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J. Appl. Probab. 51(1): 118-135 (March 2014). DOI: 10.1239/jap/1395771418

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.

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Phil Howlett. Charles Pearce. Julia Piantadosi. "A new look at urban water storage in a series of connected dams." J. Appl. Probab. 51 (1) 118 - 135, March 2014. https://doi.org/10.1239/jap/1395771418

Information

Published: March 2014
First available in Project Euclid: 25 March 2014

zbMATH: 1297.90012
MathSciNet: MR3189446
Digital Object Identifier: 10.1239/jap/1395771418

Subjects:
Primary: 60J20
Secondary: 15A18‎, 15B51, 60J22

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 1 • March 2014
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