Geodesic
Solution of balance equations and investigation of Poisson flows in Jackson networks
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 117-122

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In this paper a decomposition of a solution of balance equations for intensities of flows departing from nodes of the Jackson network is constructed. Sets of independent stationary Poisson flows departing from nodes of Jackson network are enumerated. Procedures of the decomposition and the enumeration are based on a definition of classes of cyclically equivalent nodes in a directed graph consistent with the Jackson network. 
@article{DVMG_2018_18_1_a14,
     author = {G. Sh. Tsitsiashvili},
     title = {Solution of balance equations and investigation of {Poisson} flows in {Jackson} networks},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {117--122},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a14/}
}
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G. Sh. Tsitsiashvili. Solution of balance equations and investigation of Poisson flows in Jackson networks. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 117-122. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a14/