A Binary State DP Algorithm for Operation Problems of Multireservoir Systems

Ozden, Mufit

doi:10.1029/wr020i001p00009

Cited by 9 publications

(3 citation statements)

References 7 publications

(5 reference statements)

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“…These three formulas working together determine the seasonal net benefitmaximizing paths of stream releases in the multiple-use river basin, given any given initial and terminal reservoir requirements imposed by out-of-stream diversion needs. Other river basin optimizing models, although not focusing on nonmarket economic values, have been developed by [Grygier and Stedinger, 1985' Marlrio and Loaiciga, 1985' Martin, 1983' Hof and Loomis, 1983' Ozden, 1984Palmer and Snyder, 1985]. Similar economic control models have been developed in the context of exhaustible resource management [Hotelling, 1931].…”

Section: Scribed Above or If Changes In Upstream-downstream Reservoimentioning

confidence: 99%

Economics of water allocation to instream uses in a fully appropriated river basin: Evidence from a New Mexico wild river

Ward¹

1987

Water Resources Research

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In fully appropriated multiple-use river basins, a major potential competitor for a share of water may be publicly sponsored appropriations to supplement low streamflows for fish, wildlife, and recreation, which generates economic values not revealed in the marketplace. Based on a survey of instream recreationists on New Mexico's Rio Chama a travel cost model is developed to identify the potential recreation demand for instream flows. A discrete optimal control model is formulated that solves for the intraseasonal allocation of reservoir releases which maximizes the yearly value of instream recreation benefits, net of values of competing uses in the basin. Results indicate that in New Mexico, reservoir releases which augment low streamflows can return gross recreation benefits in the range of $900 to $1100 per acre-foot (ac ft) of water consumed (1 ac ft = 1.233 x 10 3 m3). This compares to a $40/ac ft cost of using the water. Consequently, results strongly support the hypothesis of potential economic payoff from public investments in and management of instream flow reservations. 1981; Schribner, 1979;Tarlock, 1975Tarlock, , 1978Tarlock, , 1979Thompson, 1982;Welsh, 1976].Increased demands by special interest groups for instream flow reservations from improved sports fisheries have led to studies which link streamflow depth, velocity, and substrate to fish habitat suitability. Criteria adopted by these studies are, however, largely hydrological or biological, with little focus on economic values to compare with costs incurred. Where economic studies have been conducted which optimize economic values in river basin systems, the objective function chosen has commonly been commercial values such as hydroelectricity, with instream "needs" accounted for as an extra minimum flow constraint [Palmer and Snyder, 1985]. Few economic studies have been conducted which explicitly examine economic benefits from instream flow reservations in multiple-use river basins. Exceptions include Daubeft and Young [1981], Walsh et al. [1980, 1985], and Narayanan et al. [1983], all of which used contingent valuation methods as described by Cummings et al. [1985].Given present public attitudes toward environmental values and the relative scarcity of sites in which minimum streamflows are currently maintained, there may be some economic merit in allocating water and/or water rights for fish and wildlife habitat, whitewater boating, and related instream uses. Before water allocations to an instream use pass the test of economic efficiency in a multiple-use basin, it must be demonstrated that the willingness to pay for the instream use exceeds the opportunity cost (benefits foregone) of diverting the water from a competing use (e.g., agriculture).The major objective of this paper ig to test the hypothesis that public investments in and management of stream flow reservations in a multipurpose river basin can be an economically efficient competitor with existing out-of-stream diversions for traditional commercial purposes. To test this hypothesi...

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Section: Scribed Above or If Changes In Upstream-downstream Reservoimentioning

confidence: 99%

Economics of water allocation to instream uses in a fully appropriated river basin: Evidence from a New Mexico wild river

Ward¹

1987

Water Resources Research

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“…The basic optimization problem for a As noted above, a rate structure with on-off peak pricing is where R•t are the on-peak releases whose power is sold at on-peak price po,, and rjt are the off-peak releases whose power is sold at off-peak price pof. Successive linear programming (SLP) has been applied to water resources and similar problems by a number of researchers [Yeh et al, 1979;Beehard et al, 1981;Palicios-Gomez et al, 1982;Martin, 1983;Peteira and Pinto, 1983]. Recently, Rosenthal [1981] used a nonlinear network flow optimization procedure in a similar way.…”

Section: Introductionmentioning

confidence: 99%

Algorithms for Optimizing Hydropower System Operation

Grygier¹,

Stedinger²

1985

Water Resources Research

111

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Successive linear programming, an optimal control algorithm, and a combination of linear programming and dynamic programming (LP‐DP) are employed to optimize the operation of multireservoir hydrosystems given a deterministic inflow forecast. The algorithm maximize the value of energy produced at on‐peak and off‐peak rates, plus the estimated value of water remaining in storage at the end of the 12‐month planning period. The LP‐DP algorithm is clearly dominated: it takes longer to find a solution and produces significantly less hydropower than the other two procedures. Successive linear programming (SLP) appears to find the global maximum and is easily implemented. For simple systems the optimal control algorithm finds the optimum in about one fifth the time required by SLP but is harder to implement. Computing costs for a two‐reservoir, 12‐month deterministic problem averaged about seven cents per run using optimal control and 37 cents using successive linear programming.

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“…Most of the methods employed have two common difficulties such as requirement of initial trial trajectory to start the iteration and number of iterations required to reach the optimal solution (depends on how far the initial trajectory is from the optimal one). Some of the variations of DP that were used for overcoming dimensionality problem/curse of dimensionality are: State increment DP (Larson 1968), Incremental DP (Hall et al 1969), Differential DP (Jacobson and Mayne 1970), Discrete Differential DP (Heidari et al 1971), constraint differential DP (Murray and Yakowitz 1979), progressive optimality (Turgeon 1981), and binary state DP (Ozden 1984). Perera and Codner (1998) successfully improved the computational efficiency of SDP method when applied to multiple reservoir urban water supply system.…”

Section: Improvements In Dynamic Programming To Overcome Curse Of Dimmentioning

confidence: 99%

Optimal Reservoir Operation for Flood Control Using Folded Dynamic Programming

Kumar

Baliarsingh

Raju

2009

Water Resour Manage

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Folded Dynamic Programming (FDP) is adopted for developing optimal reservoir operation policies for flood control. It is applied to a case study of Hirakud Reservoir in Mahanadi basin, India with the objective of deriving optimal policy for flood control. The river flows down to Naraj, the head of delta where a major city is located and finally joins the Bay of Bengal. As Hirakud reservoir is on the upstream side of delta area in the basin, it plays an important role in alleviating the severity of the flood for this area. Data of 68 floods such as peaks of inflow hydrograph, peak of outflow from reservoir during each flood, peak of flow hydrograph at Naraj and d/s catchment contribution are utilized. The combinations of 51, 54, 57 thousand cumecs as peak inflow into reservoir and 25.5, 20, 14 thousand cumecs respectively as peak d/s catchment contribution form the critical combinations for flood situation. It is observed that the combination of 57 thousand cumecs of inflow into reservoir and 14 thousand cumecs for d/s catchment contribution is the most critical among the critical combinations of flow series. The method proposed can be extended to similar situations for deriving reservoir operating policies for flood control.

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A Binary State DP Algorithm for Operation Problems of Multireservoir Systems

Cited by 9 publications

References 7 publications

Economics of water allocation to instream uses in a fully appropriated river basin: Evidence from a New Mexico wild river

Economics of water allocation to instream uses in a fully appropriated river basin: Evidence from a New Mexico wild river

Algorithms for Optimizing Hydropower System Operation

Optimal Reservoir Operation for Flood Control Using Folded Dynamic Programming

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