Mixed-Integer Programming Model for Reservoir Performance Optimization
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.
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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TL;DR: In this paper, the authors assess the potential impact of climate change on an example under-design hydropower system in the Karkheh River basin, Iran, based on three water resources performance criteria (reliability, resiliency, and vulnerability).
Abstract: This study9s objective is to assess the potential impact of climate change on an example under-design hydropower system in the Karkheh River basin, Iran. Based on three water resources performance criteria (reliability, resiliency, and vulnerability), a novel framework was proposed to interpret and cope with the uncertainties associated with such assessments. The results demonstrated the acceptable performance of the system in most months, while there were certain signs for rare low-inflows, and consequently low hydropower generated by the system, due to the climate change. It was found that in terms of these three criteria, the best performances in the climate-change condition occurred in May (80% reliability), December (45% resiliency), and April (19% vulnerability). Yet the worst performances occurred in September (2% reliability), July and August (0% resiliency), and in October (39% vulnerability). These results indicated that the reliability and resiliency of the system would be improved under the climate change condition, while due to the increase of low-inflow incidences, the vulnerability of the system would increase. This suggests that, although the system may not face frequent failures, severe blackouts may occur. With timely consideration of future climatic conditions and appropriate adaptive actions, including additional backup systems for reliable and safe electricity generation, future undesired conditions can be avoided in the basin.
28 citations
TL;DR: A hybrid fuzzy-stochastic water-management (FSWM) model is developed for agricultural sustainability under uncertainty, based on advancement of a multistage fuzzy-Stochastic quadratic programming (MFSQP) approach, which allows an increased flexibility in controlling the system risk in the optimization process.
27 citations
TL;DR: The results of both formulations of constrained IPSO and especially FCIPSO algorithm are improved significantly in comparison with unconstrained IPSO algorithm over all operations time periods of simple and hydropower operation of the reservoir.
Abstract: In this paper, the improved particle swarm optimization (IPSO) algorithm is used to solve large scale reservoir operation optimization problem proposing unconstrained and two constrained versions of this algorithm. In the two constrained versions proposed for the IPSO algorithm, named PCIPSO and FCIPSO, each particle may be forced to satisfy problem constraints during solution building. By considering water releases or storage volumes at each operation time period as decision variable of the problem, here, two formulations are proposed for each version. In the second proposed constrained version algorithm (FCIPSO), at first, the water storage volume bounds are modified in order to recognize the infeasible components of the search space and exclude from the search process before the main search starts. This mechanism leads to smaller search space size for the problem and finally better results. The simple and hydropower operation problems of “Dez” reservoir in the southern Iran over 60, 240 and 480 monthly operations time periods are solved here using both proposed formulations of theses algorithms and the results are presented and compared with other available results. The results show the capability of the proposed algorithms and especially the second constrained version of the IPSO algorithm, FCIPSO, to optimally solve the reservoir operation optimization problem. In other words, the results of both formulations of constrained IPSO and especially FCIPSO algorithm are improved significantly in comparison with unconstrained IPSO algorithm over all operations time periods of simple and hydropower operation of the reservoir.
26 citations
TL;DR: A brief overview of some mathematical tools for irrigation system operation, crop water allocations and performance evaluation is presented, with a discussion on the work carried out in India by the author's team.
Abstract: Irrigation water management has significant economic implications in developing countries like India. While the structural infrastructure has been created with a huge financial investment in these countries, it is vital that appropriate non-structural measures be adopted for efficient water management. Scientific policies of operation of irrigation reservoir systems need to be developed with the aid of mathematical tools and implemented in practice. In this paper, a brief overview of some mathematical tools for irrigation system operation, crop water allocations and performance evaluation is presented, with a discussion on the work carried out in India by the author’s team. Recent tools and techniques of fuzzy optimization and fuzzy inference systems that incorporate imprecision in management goals and constraints and that address the interests of stakeholders are also discussed. Perceptions on issues relating to applicability of the tools to real-life problems, existing gaps between theory and practice and possible hurdles in narrowing such gaps in developing countries are presented.
23 citations
Cites background from "Mixed-Integer Programming Model for..."
...…reliability, resiliency, Hashimoto et al. (1982); vulnerability and productivity Mujumdar and Vedula (1992); index Srinivasan and Philipose (1988); Srinivasan et al. (1999); Sahoo et al. (2001) Conflict Resolution Fuzzy Optimization Uncertainly due to imprecision Kindler (1992); Fontane et al. in…...
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01 Jan 2013
TL;DR: In this paper, the physicochemical properties, acidity and viscosity levels, are within the limits allowed by Brazilian Legislation, the Petroleum, Natural Gas and Biofuels National Agency (ANP), since biodiesel synthesized by the catalyst at 500 °C presented the lowest levels of acidity.
Abstract: The tendency of comprehensive utilization of agro-industrial residues such as rice husk, the fibers of the coconut husk, bagasse of sugar cane, among others, has been a need and at the same time, a technological and environmental challenge for modern industry and society. Therefore this research deals with the agribusiness residue behavior (rice husks), as a catalyst support in the impregnation of nickel ferrite (NiFe2O4), for the biodiesel synthesis by the method of hidroesterification. The rice husks were calcined by 3 h at 500, 700 and 1000 ° C, and then impregnated with ferrite Nickel (NiFe2O4) at 110 °C, resulting in the catalysts identified by NiFe2O4-CCA 500 °C, NiFe2O4-CCA 700 oC and NiFe2O4-CCA 1000 oC. The biodiesels were synthesized separately using these catalysts by the method of hidroesterification, which involves the hydrolysis steps, followed by esterification. This last step was performed on reason cotton oil / ethanol 1:6 with 1% of the catalyst obtained, at 200 ° C by 2 h. The results showed that the physicochemical properties, acidity and viscosity levels, are within the limits allowed by Brazilian Legislation, the Petroleum, Natural Gas and Biofuels National Agency (ANP), since biodiesel synthesized by the catalyst at 500 °C presented the lowest levels of acidity and viscosity. The TG and DTG curves showed three (BCat 500 oC) to four (BCat 700 and 1000 °C) steps of thermal decomposition, attributed to volatilization and /or decomposition of the ethyl fatty acids esters (mainly of its biggest linoleate and ethyl oleate components). These curves also showed temperature stability of each product, with the BCat 1000 °C more stable compared to the other, reaching a temperature of 226 oC providing increased safety to the biofuel regarding to the storage process. Absorption spectra in the infrared region confirmed the presence of ethyl fatty acids esters with vibrational band with strong intensity at 1749.7 cm -1 . In summary, the results proved demonstrated to be satisfactory for the purpose of the aim, offering an alternative of implementation of agribusiness residue (rice husks) to reduce an environmental problem generated by it in this sector.
23 citations
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TL;DR: In this paper, three criteria for evaluating the performance of water resource systems are discussed, i.e., reliability, resilience, and vulnerability, which describe how likely a system is to fail, how quickly it recovers from failure, and how severe the consequences of failure may be.
Abstract: Three criteria for evaluating the possible performance of water resource systems are discussed. These measures describe how likely a system is to fail (reliability), how quickly it recovers from failure (resiliency), and how severe the consequences of failure may be (vulnerability). These criteria can be used to assist in the evaluation and selection of alternative design and operating policies for a wide variety of water resource projects. The performance of a water supply reservoir with a variety of operating policies illustrates their use.
1,458 citations
TL;DR: In this paper, a linear decision rule is proposed to specify the release during any period of reservoir operation as the difference between the storage at the beginning of the period and a decision parameter for the period.
Abstract: With the aid of a linear decision rule, reservoir management and design problems often can be formulated as easily solved linear programing problems. The linear decision rule specifies the release during any period of reservoir operation as the difference between the storage at the beginning of the period and a decision parameter for the period. The decision parameters for the entire study horizon are determined by solving the linear programing problem. Problems may be formulated in either the deterministic or the stochastic environment.
290 citations
TL;DR: In this article, the tradeoffs between reliability, vulnerability, and resilience were examined using multiobjective mixed-integer, linear programming, and it was found that as reliability is increased or as the maximum length of consecutive shortfalls decreases (resilience increases), the vulnerability of the water system to larger deficits increases.
Abstract: Reliability in water supply reservoir operation is commonly thought of as the probability of failing to achieve some target release. Here we explore two additional proposed descriptions of reservoir performance: the maximum shortfall from the target (system vulnerability) and the maximum number of consecutive periods of deficit during a record (system resilience). The larger the maximum shortfall, the greater the vulnerability. The shorter the maximum length of deficits, the more resilient the system. Using multiobjective mixed-integer, linear programming, the tradeoffs between reliability, vulnerability, and resilience are examined. It is found that as reliability is increased or as the maximum length of consecutive shortfalls decreases (resilience increases), the vulnerability of the water system to larger deficits increases.
267 citations
TL;DR: In this article, a polytope search algorithm using a combination of simulation and optimization is compared to an iterative mixed integer programming method to determine the parameters of continuous demand management rules.
Abstract: Demand-management policy rules are sought during drought and impending drought for a water system consisting of a reservoir dedicated only to water supply. The creation of such rules requires solution of a nonlinear, nonseparable mathematical programming problem. A polytope search algorithm using a combination of simulation and optimization is compared to an iterative mixed integer programming method to determine the parameters of continuous demand management rules. The signal used for calling rationing is a trigger volume given in terms of months of demand (as a volume) that are needed in storage. When the sum of actual storage plus anticipated inflow is less than the trigger volume, rationing is initiated. The extent of rationing or demand reduction that is required is determined by the ration of the sum of storage plus inflow to the trigger volume. The two methodologies for parameter determination are compared using as a criteria the maximum shortage that occurs over some planning period.
145 citations
TL;DR: A mixed integer programming model is constructed for the operation of a single water supply reservoir during drought and impending drought and determines trigger volumes of storage plus anticipated inflow which signal the need for each of the several phases of rationing.
113 citations