[PDF][PDF] Single Server Queues with State-Dependent Hawkes Arrivals

BO LI, G PANG - 2024 - cmor-faculty.rice.edu
We study single-server queues with Hawkes arrivals whose intensity process depends on
the queue length or workload through the self-exciting function, and with iid general service …

[PDF][PDF] Overlap Times in the G/G/1 Queue via Laplace Transforms

O Boxma, J Pender - 2024 - eurandom.tue.nl
In this paper, we analyze the steady state maximum overlap time distribution in the G/G/1
queue. Our methodology exploits Laplace-Stieltjes transforms with a novel decomposition of …