Geodesic
Quasi-reversibility of Jackson's networks with exponential constraint on the sojourn time of claims
Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 62-64

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Outbound flows are investigated using the reveresе time procedure for an exponential queuing network containing knots of two types – single-line and multi-line. The sojourn time at the knots of network is limited by an exponential random variable for a fixed number of claims in the knot. The quasi-reversibility of the Markov network process is established.
Keywords: queuing network, single-line and multi-line knots, limited sojourn time, reverse time, quasi-reversibility. 
@article{PFMT_2021_1_a9,
     author = {Yu. V. Malinkovskii and V. A. Niamilastsivaya},
     title = {Quasi-reversibility of {Jackson's} networks with exponential constraint on the sojourn time of claims},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {62--64},
     publisher = {mathdoc},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_1_a9/}
}
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Yu. V. Malinkovskii; V. A. Niamilastsivaya. Quasi-reversibility of Jackson's networks with exponential constraint on the sojourn time of claims. Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 62-64. http://geodesic.mathdoc.fr/item/PFMT_2021_1_a9/