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A New Look at Urban Water Storage in a Series of Connected Dams

Published online by Cambridge University Press:  30 January 2018

Phil Howlett*
Affiliation:
University of South Australia
Charles Pearce*
Affiliation:
University of Adelaide
Julia Piantadosi*
Affiliation:
University of South Australia
*
Postal address: Scheduling and Control Group, Centre for Industrial and Applied Mathematics, University of South Australia, Mawson Lakes, 5095, Australia.
∗∗ Postal address: School of Mathematical Sciences, University of Adelaide, Adelaide, 5000, Australia.
Postal address: Scheduling and Control Group, Centre for Industrial and Applied Mathematics, University of South Australia, Mawson Lakes, 5095, Australia.
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Abstract

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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.

Type
Research Article
Copyright
© Applied Probability Trust 

References

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