TL;DR
A non-homogeneous Poisson process that incorporates a staffing rule that acknowledges the three features of an arrival process to stabilize system performance even under highly varying and strongly correlated conditions.
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...
Although stationary queueing models, such as Erlang-C and Erlang-A, are widely used for performance evaluation in service systems, they do not account for time dependence and retrials, which limits their applicability. Building on stationary [Formula: see text] formulas and point-wise stationary approximations (PSAs),...
In this paper, we study the exact distributions of the age of information (AoI) and peak AoI (PAoI) in a bufferless setting in which time-stamped updates, or processed tasks, generated by one or several information sources according to a Poisson process for each source, are submitted to a shared pool of $c$ homogeneous...
This paper addresses the problem of simulation modeling of a stochastic polling system with a non-stationary (time-varying) arrival process. Polling systems, also known as ordered-service systems, constitute a special subclass of multi-queue queueing systems and are widely applied in telecommunications, transportation,...
We consider a many-server queue where tasks with general patience and service times arrive as a renewal process. Contrary to the standard assumptions, we allow for preemption and abandonment during service, relevant in applications such as electric vehicle charging and anytime algorithms in cloud computing. Moreover, w...
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