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The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes. / Lloyd, E. H.; Warren, D.
In: Stochastic Hydrology and Hydraulics, Vol. 6, No. 2, 1992, p. 135-149.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lloyd, EH & Warren, D 1992, 'The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes.', Stochastic Hydrology and Hydraulics, vol. 6, no. 2, pp. 135-149. https://doi.org/10.1007/BF01591335

APA

Lloyd, E. H., & Warren, D. (1992). The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes. Stochastic Hydrology and Hydraulics, 6(2), 135-149. https://doi.org/10.1007/BF01591335

Vancouver

Lloyd EH, Warren D. The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes. Stochastic Hydrology and Hydraulics. 1992;6(2):135-149. doi: 10.1007/BF01591335

Author

Lloyd, E. H. ; Warren, D. / The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes. In: Stochastic Hydrology and Hydraulics. 1992 ; Vol. 6, No. 2. pp. 135-149.

Bibtex

@article{8701c5dc27304152ba54d302364a827a,
title = "The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes.",
abstract = "a well-known generating function formula for the equilibrium storage distribution in a finite Moran reservoir having IID inflows and unit release is extended to apply to a class of nondecreasing staircase-like release policies withm unit increments,m>1, and to seasonal inflows. The analysis is conducted in terms of an alternative to the Moran inflow-outflow sequencing scheme, with the release during a working interval controlled by the water level at the beginning of that interval. In addition to the storage, the equilibrium distributions of yield and spillage are obtained. Illustrative examples are provided.",
keywords = "Generating function - finite stochastic reservoir - seasonal inflow - Markov chain",
author = "Lloyd, {E. H.} and D. Warren",
year = "1992",
doi = "10.1007/BF01591335",
language = "English",
volume = "6",
pages = "135--149",
journal = "Stochastic Hydrology and Hydraulics",
issn = "1435-151X",
publisher = "Springer Verlag",
number = "2",

}

RIS

TY - JOUR

T1 - The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes.

AU - Lloyd, E. H.

AU - Warren, D.

PY - 1992

Y1 - 1992

N2 - a well-known generating function formula for the equilibrium storage distribution in a finite Moran reservoir having IID inflows and unit release is extended to apply to a class of nondecreasing staircase-like release policies withm unit increments,m>1, and to seasonal inflows. The analysis is conducted in terms of an alternative to the Moran inflow-outflow sequencing scheme, with the release during a working interval controlled by the water level at the beginning of that interval. In addition to the storage, the equilibrium distributions of yield and spillage are obtained. Illustrative examples are provided.

AB - a well-known generating function formula for the equilibrium storage distribution in a finite Moran reservoir having IID inflows and unit release is extended to apply to a class of nondecreasing staircase-like release policies withm unit increments,m>1, and to seasonal inflows. The analysis is conducted in terms of an alternative to the Moran inflow-outflow sequencing scheme, with the release during a working interval controlled by the water level at the beginning of that interval. In addition to the storage, the equilibrium distributions of yield and spillage are obtained. Illustrative examples are provided.

KW - Generating function - finite stochastic reservoir - seasonal inflow - Markov chain

U2 - 10.1007/BF01591335

DO - 10.1007/BF01591335

M3 - Journal article

VL - 6

SP - 135

EP - 149

JO - Stochastic Hydrology and Hydraulics

JF - Stochastic Hydrology and Hydraulics

SN - 1435-151X

IS - 2

ER -