Limit theorems for queueing systems with infinite number of servers and group arrival of requests |
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Authors: | E A Chernavskaya |
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Institution: | 1.Moscow State University,Faculty of Mechanics and Mathematics, Leninskie Gory,Moscow,Russia |
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Abstract: | 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 appropriate normalizations. |
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