Geodesic
Open one-line Jackson networks with exponential constrains on waiting times modification by product form of the stationary distribution
Problemy fiziki, matematiki i tehniki, no. 4 (2024), pp. 53-56

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One-line exponential queueing network, in which the waiting time by customers in the nodes is random variable whose conditional distribution (on fixed customers qualities) is exponential, was considered. The customers served in the nodes and the non-served customers move in the network according to a different routing matrices. A network modification with exponential bounded waiting times and product form stationary distribution is presented. To achieve this goal additional compensative flows of moving in the network control signals are introduced.
Keywords: qoueueing network, stationary distribution, product form, waiting time, sojourn time, exponential restricts, compensative flows, modificatory network. 
@article{PFMT_2024_4_a8,
     author = {Yu. V. Malinkovskii},
     title = {Open one-line {Jackson} networks with exponential constrains on waiting times modification by product form of the stationary distribution},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {53--56},
     publisher = {mathdoc},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2024_4_a8/}
}
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Yu. V. Malinkovskii. Open one-line Jackson networks with exponential constrains on waiting times modification by product form of the stationary distribution. Problemy fiziki, matematiki i tehniki, no. 4 (2024), pp. 53-56. http://geodesic.mathdoc.fr/item/PFMT_2024_4_a8/