Geodesic
Limit theorems for queueing systems with infinite number of servers and group arrival of requests
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 55-59

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We consider an infinite-server queueing system where customers come by groups of random size at random i.d. intervals of time. The number of requests in a group and intervals between their arrivals can be dependent. We assume that service times have a regularly varying distribution with infinite mean. We obtain limit theorems for the number of customers in the system and prove limit theorems under approariate normalizations. 
@article{VMUMM_2016_6_a9,
     author = {E. Chernsvakaya},
     title = {Limit theorems for queueing systems with infinite number of servers and group arrival of requests},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {55--59},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a9/}
}
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E. Chernsvakaya. Limit theorems for queueing systems with infinite number of servers and group arrival of requests. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 55-59. http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a9/