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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 Λ 1 ,Λ 2 …