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• W2915820440 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 $Nrightarrowinfty$) and the previously unexplored lightly loaded case (the load vanishes as $Nrightarrowinfty$); 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." @default.
• W2915820440 created "2019-03-02" @default.
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• W2915820440 date "2019-02-26" @default.
• W2915820440 modified "2023-09-27" @default.
• W2915820440 title "Sample path large deviations for marked point processes in the many sources asymptotic with small buffers: Heavily and lightly loaded systems" @default.
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• W2915820440 hasPublicationYear "2019" @default.
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