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Scaling limits for infinite-server systems in a random environment

Scaling limits for infinite-server systems in a random environment

This paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system.In our setup, a random environment is modeled by drawing an arrival rate Λ from a given distribution every Δ time units, yielding an i.i.d.sequence of arrival rates Λ1, Λ2, . ... Applying a …