3 citations · 3 across the 4 of their papers we have counts for
6 papers
Staffing for many-server systems facing non-standard arrival processes
M. Heemskerk, M. Mandjes, B. Mathijsen
Arrival processes to service systems often display (i) larger than anticipated fluctuations, (ii) a time-varying rate, and (iii) temporal correlation. Motivated by this, we introdu…
Single-server queues under overdispersion in the heavy-traffic regime
Onno Boxma, Mariska Heemskerk, Michel Mandjes
This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the num…
Exact asymptotics in an infinite-server system with overdispersed input
Mariska Heemskerk, Michel Mandjes
This short communication considers an infinite-server system with overdispersed input. The objective is to identify the exact tail asymptotics of the number of customers present at…
Exact asymptotics for a multi-timescale model, with applications in modeling overdispersed customer streams
Mariska Heemskerk, Michel Mandjes
In this paper we study the probability , with for Lévy processes and , and and $ψ…
Rare-event analysis of mixed Poisson random variables, and applications in staffing
Mariska Heemskerk, Julia Kuhn, Michel Mandjes
A common assumption when modeling queuing systems is that arrivals behave like a Poisson process with constant parameter. In practice, however, call arrivals are often observed to…
Scaling limits for infinite-server systems in a random environment
Mariska Heemskerk, Johan van Leeuwaarden, Michel Mandjes
This paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system. In our setup, a random environment is modeled by drawing an arriv…