Lord Kelvin and Andrey Andreyevich Markov in a queue with single server
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 3, pp. 29-43
Voir la notice de l'article provenant de la source Math-Net.Ru
We use Lord Kelvin's method of images to show that a certain infinite system of equations with interesting boundary conditions leads to a Markovian dynamics in an $L^1$-type space. This system originates from the queuing theory.
Keywords:
queue; method of images; generation theorem; boundary conditions; Markovian dynamics.
@article{VYURU_2018_11_3_a2,
author = {A. Bobrowski},
title = {Lord {Kelvin} and {Andrey} {Andreyevich} {Markov} in a queue with single server},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {29--43},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a2/}
}
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A. Bobrowski. Lord Kelvin and Andrey Andreyevich Markov in a queue with single server. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 3, pp. 29-43. http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a2/