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Linear decision rule: A note on control volume being constant
Author(s) -
Nayak Satish C.,
Arora Sant R.
Publication year - 1974
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr010i004p00637
Subject(s) - decision rule , volume (thermodynamics) , admissible decision rule , constant (computer programming) , mathematics , function (biology) , zero (linguistics) , statistics , thermodynamics , weighted sum model , computer science , decision analysis , physics , linguistics , philosophy , influence diagram , evolutionary biology , biology , programming language
For the release management of reservoirs, a rule known as the linear decision rule has been proposed in the literature. According to this rule, a release of X i made during the period i is a function of initial storage S i ‐1 and a decision parameter b i for this period; i.e., X i = S i ‐1 ‐ b i . If the minimum required pool volume is assumed to be equal to A m · C , where A m is a fraction between zero and one and C is the optimal capacity of the reservoir, then the quantity C ‐ A m · C has been defined as control volume. This paper offers a proof that the control volume is independent of A m for given flow data.