Geodesic
Queueing systems with arbitrary initial conditions
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 831-837

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Conditions for convergence of queueing and waiting-time processes to stationary processes are given for multi-channel systems (with refuses or queues) with arbitrary initial conditions. It is assumed that inter-arrival and service times form a stationary sequence of dependent or independent random variables with arbitrary distribution functions. 
@article{TVP_1977_22_4_a13,
     author = {N. P. Leont'eva},
     title = {Queueing systems with arbitrary initial conditions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {831--837},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a13/}
}
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N. P. Leont'eva. Queueing systems with arbitrary initial conditions. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 831-837. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a13/