A combined stochastic dynamic programming-statistical disaggregation approach applied to multiple reservoir systems

Perera, B. J. C; Codner, Gary

doi:10.1007/bf00429898

Cited by 5 publications

(5 citation statements)

References 9 publications

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“…Water is treated as an economic good and its management and allocation subject to the criteria of maximising social utility (Rogers et al ). Initial models tended to focus on the optimal timing and scale of investment in supply augmentation (Luss ; Perera and Codner ). As the policy agenda moved towards adaptive management and demand‐side solutions, models attempted to incorporate the value of flexibility to uncertain future conditions (Dixit et al ; Erlenkotter et al ).…”

Section: A Walk Across Theoretical Lensesmentioning

confidence: 99%

A Theoretical Walk through the Political Economy of Urban Water Resource Management

Walker

2014

Geography Compass

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The political economy of urban water management demands the interrogation of a highly socialised and engineered space. Many approaches are available to the researcher, yet they are often based on their own claims concerning the nature of society and space, which are contradictory and incommensurate with the next. This makes a synthesis of theory problematic, suggesting an 'either/or' decision to the researcher. This paper provides a critical genealogy of theoretical approaches to the political economy of urban water management and a framework through which their synthesis may be discussed. It employs a critical realist philosophy, mapping each approach to its respective ontological and epistemic grounding. A metaphorical 'walk' is then taken across the resulting map in order to provide a coherent and logical survey of theory. Finally, critical realism is employed to argue that struggles to synthesise theory are rooted in their competing ontological claims. Critical realism and in particular Bob Jessop's Strategic Relational Approach are assessed as means of reconciling tensions uncovered during the walk.

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Section: A Walk Across Theoretical Lensesmentioning

confidence: 99%

A Theoretical Walk through the Political Economy of Urban Water Resource Management

Walker

2014

Geography Compass

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“…On the supply side of the model it is assumed that there is a single storage with stochastic inflows. A single storage model can be can be interpreted as an approximation of a multiple reservoir system, see Perera and Codner (1988). Seasonal inflow probability distributions were estimated using historical inflow data for the ACT.…”

Section: An Urban Water Modelmentioning

confidence: 99%

Urban water management: optimal price and investment policy under climate variability*

Hughes

Hafi

Goesch

2009

Aus J Agri & Res Econ

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Australian urban water utilities face a significant challenge in designing appropriate demand management and supply augmentation policies in the presence of significant water scarcity and climate variability. This article considers the design of optimal demand management and supply augmentation policies for urban water. In particular, scarcity pricing is considered as a potential alternative to the predominant demand management policy of water restrictions. A stochastic dynamic programming model of an urban water market is developed based on data from the ACT region. Given a specification of the demand and supply for urban water state dependent optimal price and investment policies are estimated. The results illustrate how the optimal urban water price varies inversely with the prevailing storage level and how the optimal timing of investment differs significantly between rain dependent and rain independent augmentation options.

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“…Maximizing volumetric reliability is equivalent to maximizing the yield constrained by the demand. Previously, the annual volumetric reliability has been found to be a satisfactory objective function for determining the optimal operation of urban water supply systems (Perera 1985;Perera and Codner, 1985; Perera and Codner, 1996). Failure probability is also a good measure (i.e., objective function) for urban water supply systems.…”

Section: Recursive Relationmentioning

confidence: 99%

“…Equation (1) optimizes the objective function in terms of storage volume combinations () in the preceding stage (n-i). A similar formulation has been used by Le Bat (1981), Perera (1985), and Perera andCodner (1985,1996). Minimization of system spill (total spill from the multiple reservoir system) is used as a secondary objective function when equal volumetric reliability occurs for a particular state of the system defined by and q corresponding to different storage volume combinations of the preceding stage W1).…”

Section: Journalmentioning

confidence: 99%

“…A hypothetical system (similar to Figure 1) is considered to test the computational improvement methods introduced in this paper. This system has been used in Perera (1985) to represent the Melbourne water supply system as at December 1970 in optimizing the operation of the system, without losing the basic integrity of the system. The system is represented by three reservoirs, each having natural inflow.…”

Section: Description Of Systemmentioning

confidence: 99%

See 1 more Smart Citation

COMPUTATIONAL IMPROVEMENT FOR STOCHASTIC DYNAMIC PROGRAMMING MODELS OF URBAN WATER SUPPLY RESERVOIRS¹

Perera¹,

Codner

1998

J American Water Resour Assoc

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This paper describes two methods that are introduced to improve the computational effort of stochastic dynamic programming (SDP) as applicable to the operation of multiple urban water supply reservoir systems. The stochastic nature of streamflow is incorporated explicitly by considering it in the form of a multivariate probability distribution. The computationally efficient Gaussian Legendre quadrature method is employed to compute the conditional probabilities of streamflow, which accounts for the serial correlation of streamflow into each storage and the cross correlation between the streamflow into various storages. A realistic assumption of cross correlation of streamflow is introduced to eliminate the need to consider the streamflow combinations which are unlikely to occur in the SDP formulation. A “corridor” approach is devised to eliminate the need to consider the infeasible and/or inferior storage volume combinations in the preceding stage in computing the objective function in the recursive relation. These methods are verified in terms of computational efficiency and accuracy by using a hypothetical example of three interconnected urban water supply reservoirs. Therefore, it can be concluded that these methods allow SDP to be more attractive for deriving optimal operating rules for multiple urban water supply reservoir systems.

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A combined stochastic dynamic programming-statistical disaggregation approach applied to multiple reservoir systems

Cited by 5 publications

References 9 publications

A Theoretical Walk through the Political Economy of Urban Water Resource Management

A Theoretical Walk through the Political Economy of Urban Water Resource Management

Urban water management: optimal price and investment policy under climate variability*

COMPUTATIONAL IMPROVEMENT FOR STOCHASTIC DYNAMIC PROGRAMMING MODELS OF URBAN WATER SUPPLY RESERVOIRS¹

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A combined stochastic dynamic programming-statistical disaggregation approach applied to multiple reservoir systems

Cited by 5 publications

References 9 publications

A Theoretical Walk through the Political Economy of Urban Water Resource Management

A Theoretical Walk through the Political Economy of Urban Water Resource Management

Urban water management: optimal price and investment policy under climate variability*

COMPUTATIONAL IMPROVEMENT FOR STOCHASTIC DYNAMIC PROGRAMMING MODELS OF URBAN WATER SUPPLY RESERVOIRS1

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COMPUTATIONAL IMPROVEMENT FOR STOCHASTIC DYNAMIC PROGRAMMING MODELS OF URBAN WATER SUPPLY RESERVOIRS¹