Mixed-Integer Programming Model for Reservoir Performance Optimization

doi:10.1061/(ASCE)0733-9496(1999)125:5(298)

Journal Article•DOI•

Mixed-Integer Programming Model for Reservoir Performance Optimization

K. Srinivasan, T. R. Neelakantan, P. Shyam Narayan, C. Nagarajukumar

01 Sep 1999-Journal of Water Resources Planning and Management (American Society of Civil Engineers)-Vol. 125, Iss: 5, pp 298-301

TL;DR: In this paper, a mixed-integer programming model for the operation of a water supply reservoir during critical periods has been presented in the literature that incorporates reliability, resilience, and vulnerability, and an improved formulation of this model that represents resilience more completely is discussed.

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Abstract: Failures in operation of water supply reservoir systems are often unavoidable during critical hydrologic periods. The failure characteristics of such systems can be represented by performance indicators such as reliability, resilience, and vulnerability. A mixed-integer programming model for the operation of a water supply reservoir during critical periods has been presented in the literature that incorporates these performance indicators. An improved formulation of this model that represents resilience more completely is discussed herein. In addition, a set of constraints with binary integer variables are included to account for reservoir spills. The improvements achieved with the modified model is demonstrated using the same example as presented with the original model.

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Journal Article•DOI•

Choice of reliability, resilience and vulnerability estimators for risk assessments of water resources systems

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Thomas Kjeldsen, Dan Rosbjerg

01 Oct 2004-Hydrological Sciences Journal-journal Des Sciences Hydrologiques

TL;DR: A behaviour analysis addressing monotonic behaviour, overlap and correlation between the estimators of water resources system reliability, resilience and vulnerability was carried out by routing time series of monthly runoff through a reservoir with a specified storage volume.

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Abstract: Definitions and estimators of water resources system reliability (the probability that the system will remain in a non-failure state), resilience (the ability of the system to return to non-failure state after a failure has occurred) and vulnerability (the likely damage of a failure event) have been thoroughly investigated. A behaviour analysis addressing monotonic behaviour, overlap and correlation between the estimators was carried out by routing time series of monthly runoff through a reservoir with a specified storage volume that is operated according to a fixed operation policy. Estimation based on historical time series is shown to be problematic and a procedure encompassing generation of synthetic time series with a length of at least 1000 years is recommended in order to stabilize the estimates. Moreover, the strong correlation between resilience and vulnerability may suggest that resilience should not be explicitly accounted for.

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172 citations

Cites background or result from "Mixed-Integer Programming Model for..."

...Srinivasan et al. (1999) highlighted the same urther argued that using the maximum duration might mask resilient...
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...The high negative correlation indicates that reliable systems tend to have a high degree of resilience (keeping in mind that the experiment considers the correlation between reliability and the inverse of resilience), which corresponds to the findings of others, for example, Kundzewicz & Kindler (1995) and Srinivasan et al. (1999). All three methods of estimating resilience gave correlation coefficients of the same order of magnitude....
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...…that reliable systems tend to have a high degree of resilience (keeping in mind that the experiment considers the correlation between reliability and the inverse of resilience), which corresponds to the findings of others, for example, Kundzewicz & Kindler (1995) and Srinivasan et al. (1999)....
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...Srinivasan et al. (1999) highlighted the same urther argued that using the maximum duration might mask resilient Thomas Rodding Kjeldsen & Dan Rosbjerg 758 behaviour in the rest of the series compared to other series with shorter maximum duration but more non-resilient behaviour in the remaining…...
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...…(1982), the use of the additional risk criteria of resilience and vulnerability has been widely discussed; see for example, Moy et al. (1986), Jinno et al. (1995), Kundzewicz & Laski (1995), Vogel & Bolognese (1995), Kundzewicz & Kindler (1995), Srinivasan et al. (1999) and Vogel et al. (1999)....
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Journal Article•DOI•

Identification of optimal strategies for improving eco-resilience to floods in ecologically vulnerable regions of a wetland

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Y.P. Cai¹, Guohe Huang¹, Guohe Huang², Q. Tan¹, Bing Chen³ - Show less +1 more•Institutions (3)

Applied Science Private University¹, North China Electric Power University², Beijing Normal University³

24 Jan 2011-Ecological Modelling

TL;DR: A mixed integer fuzzy interval-stochastic programming model was developed for supporting the improvement of eco-resilience to floods in wetlands and indicates that the model is helpful for supporting adjustment or justification of allocation patterns of ecological flood-resisting capacities, and analysis of interactions among multiple administrative targets within a wetland.

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112 citations

Additional excerpts

...Moreover, due to its effectiveness n determining capacity-expansion options, mixed integer linear rogramming (MILP) was frequently used for flooding mitigation nd adaptation planning (Day and Weisz, 1976; Windsor, 1981; andall et al., 1997; Srinivasan et al., 1999; Needham et al., 2000; lsen et al., 2000)....
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Journal Article•DOI•

A hybrid framework for assessing socioeconomic drought: linking climate variability, local resilience, and demand.

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Ali Mehran¹, Omid Mazdiyasni¹, Amir AghaKouchak¹•Institutions (1)

University of California, Irvine¹

16 Aug 2015-Journal of Geophysical Research

TL;DR: In this paper, the authors proposed a multivariate approach as a measure of socioeconomic drought, termed Multivariate Standardized Reliability and Resilience Index (MSRRI), which combines information on the inflow and reservoir storage relative to the demand.

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Abstract: Socioeconomic drought broadly refers to conditions whereby the water supply cannot satisfy the demand. Most previous studies describe droughts based on large scale meteorological/hydrologic conditions, ignoring the demand and local resilience to cope with climate variability. Reservoirs provide resilience against climatic extremes and play a key role in water supply and demand management. Here, we outline a unique multivariate approach as a measure of socioeconomic drought, termed Multivariate Standardized Reliability and Resilience Index (MSRRI). The model combines information on the inflow and reservoir storage relative to the demand. MSRRI combines: (I) a “top-down” approach that focuses on processes/phenomena that cannot be simply controlled or altered by decision makers, such as climate change and variability, and (II) a “bottom-up” methodology that represents the local resilience and societal capacity to respond or adapt to droughts. MSRRI is based on a nonparametric multivariate distribution function that links Inflow-Demand Reliability (IDR) indicator to Water Storage Resilience (WSR) indicator. These indicators are used to assess socioeconomic drought during the Australian Millennium Drought (1998–2010) and the 2011–2014 California Drought. The results show that MSRRI is superior to univariate indices because it captures both early onset and persistence of water stress over time. The suggested framework can be applied to both individual reservoirs and a group of reservoirs in a region, and it is consistent with the currently available standardized drought indicators. MSRRI provides complementary information on socioeconomic drought development and recovery based on reservoir storage and demand that cannot be achieved from the commonly used drought indicators.

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110 citations

Journal Article•DOI•

Resilience Concepts for Water Resource Systems

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Chi-Hsiang Wang¹, Jane M. Blackmore¹•Institutions (1)

Commonwealth Scientific and Industrial Research Organisation¹

01 Nov 2009-Journal of Water Resources Planning and Management

TL;DR: In this article, the adaptive capacity of the system is better treated as an input variable of the other two aspects of resilience, and that response/recovery may be considered only when the performance threshold is not crossed.

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Abstract: This paper reviews existing approaches to system resilience, and proposes a scheme to quantify the resilience of water resource systems. In general, three aspects of resilience are considered in water resource systems: (1) that against crossing a performance threshold; (2) that for response and recovery after disturbances; and (3) that of adaptive capacity. Conventionally these aspects are treated separately without considering possible functional relationships or interdependencies. We argue that the adaptive capacity of the system is better treated as an input variable of the other two aspects of resilience, and that response/recovery may be considered only when the performance threshold is not crossed. Because of the dynamic and evolving nature of water resource systems, proper consideration of uncertainty and associated information, whether obtained from well-defined numerical data or vague linguistic articulation, is essential for better understanding and proper management of their resilience. Constan...

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98 citations

Book•

Real Options "in" Projects and Systems Design: Identification of Options and Solution for Path Dependency

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Tao Wang

18 Dec 2008

TL;DR: In this article, the authors present an approach to improve the performance of a single-input-single-output (SISO) system using a set of tools from the Massachusetts Institute of Technology, Engineering Systems Division.

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Abstract: Thesis (Ph. D.)--Massachusetts Institute of Technology, Engineering Systems Division, 2005.

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92 citations

Cites background from "Mixed-Integer Programming Model for..."

...Besides the literature mentioned in the section for water resources planning, Srinivasan, Neelakantan, Narayan, and Nagarajukumar (1999) presented a mixed-integer programming model for the operation of a water supply reservoir during critical periods that incorporates important performance…...
[...]
...Besides the literature mentioned in the section for water resources planning, Srinivasan, Neelakantan, Narayan, and Nagarajukumar (1999) presented a mixed-integer programming model for the operation of a water supply reservoir during critical periods that incorporates important performance indicators, such as reliability, resilience, and vulnerability....
[...]

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Mixed-Integer Programming Model for Reservoir Performance Optimization

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Cites background from "Mixed-Integer Programming Model for..."

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