Sample path large deviations for marked point processes in the many sources asymptotic with small buffers: Heavily and lightly loaded systems
Year: 2019
Type: preprint
Abstract: Consider a queueing system fed by traffic from $N$ independent and identically distributed marked point processes. We establish several novel sample path large deviations results in the scaled uniform topology for such a system with a small buffer. This includes both the heavily loaded case (the load grows as $N\rightarrow\infty$) and the previously unexplored lightly loaded case (the load vanishes as $N\rightarrow\infty$); this latter case requires the introduction of novel speed scalings for such queueing systems. Alongside these sample path large deviations results, we introduce a new framework to explore the range of scalings in the many sources asymptotic for these systems.
Source: arXiv (Cornell University)
Authors: Cruise, James R., Daly, Fraser, Toh, Bemsibom
Institution: Heriot-Watt University
Language: English
Subfield: Management Information Systems
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W2915820440