Tung Duong Vuong

Time-varying single-server queues with state-dependent Hawkes arrivals

We study a non-stationary state-dependent Hawkes single-server queueing model with both time-varying arrival and service rates, under the first-come first-served discipline. The arrival process is a Hawkes process with a time-varying baseline rate function, and a self-exciting function that depends on the state of the...