Exact asymptotics in an infinite-server system with overdispersed input

Abstract

This short communication considers an infinite-server system with overdispersed input. The objective is to identify the exact tail asymptotics of the number of customers present at a given point in time under a specific scaling of the model (which involves both the arrival rate and time). The proofs rely on a change-of-measure approach. The results obtained are illustrated by a series of examples.

Short communication

Cited by in corpus (2)

• Infinite server queues in a random fast oscillatory environment
• Diffusion Approximations for $\text{Cox}/G_t/\infty$ Queues In A Fast Oscillatory Random Environment