Geodesic
Interoutput times in an $M/G/1/PS$ queue with instant feedback
Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 820-824

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We consider an $M/G/1/PS$ system in which customers can immediately rejoin the queue upon completion of the service. The Laplace transform is found for the time interval between two successive epochs the server becomes free (in the stationary regime).
Keywords: processor sharing, branching processes. 
@article{TVP_1994_39_4_a12,
     author = {S. A. Grishechkin},
     title = {Interoutput times in an $M/G/1/PS$ queue with instant feedback},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {820--824},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a12/}
}
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S. A. Grishechkin. Interoutput times in an $M/G/1/PS$ queue with instant feedback. Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 820-824. http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a12/