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OPTIMAL CAPACITIES OF WATER SUPPLY RESERVOIRS IN SERIES AND PARALLEL 1
Author(s) -
Wathne Magne,
ReVelle Charles S.,
Liebman Jon C.
Publication year - 1975
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1975.tb00706.x
Subject(s) - sequent , constant (computer programming) , series (stratigraphy) , water reservoir , fraction (chemistry) , extension (predicate logic) , water supply , computer science , mathematical optimization , hydrology (agriculture) , mathematics , environmental science , petroleum engineering , geology , environmental engineering , geotechnical engineering , chemistry , paleontology , organic chemistry , programming language
The planning of water supply reservoirs has traditionally been based on the Rippl or sequent peak analysis which applies to the design of a single reservoir. This paper incorporates the sequent peak method as the central feature in establishing a procedure for determining the sizes of several potential reservoirs located in a system of one or more rivers. Separate algorithms are developed for sites on parallel streams and for sites on the same stream. In both cases the approach is to find the combination of reservoirs which can satisfy a given constant monthly demand at a minimum total construction cost. It is shown that both problems can be cast in the form of a dynamic programming problem. A more complex system is then a combination of reservoirs in parallel and in series. An extension is given if the monthly demand is not constant but each reservoir satisfies a constant fraction of the monthly demand.