Geodesic
The flow distribution problem in a~nonclassical statement
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 15-24

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We present the results of study of a nonclassical flow distribution problem, including the existence and uniqueness of its solution. Unlike in the classical flow distribution problem traditionally considered in the theory of hydraulic chains, the variables in the nonclassical problems can be the expenses of the medium being transported in or out at the separate nodes of the system and the pressure increments on some arcs. Meanwhile, in contrast to the classical flow distribution problem we may be given the pressure at some nodes, as well as the expenses and the loss of pressure on some arcs.
Keywords: flow distribution problem, system of equations, initial and dual optimization problems. 
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     author = {S. P. Epifanov and V. I. Zorkal'tsev},
     title = {The flow distribution problem in a~nonclassical statement},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {15--24},
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     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a1/}
}
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S. P. Epifanov; V. I. Zorkal'tsev. The flow distribution problem in a~nonclassical statement. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 15-24. http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a1/