3 citations · 9 across the 7 of their papers we have counts for
7 papers
A near neighbour continuum percolation model
A. Gillett, M. Nuyens
We introduce a continuum percolation model defined on the points of a d-dimensional homogeneous Poisson process. Each Poisson point is connected to all points within its connection…
Bounds for avalanche critical values of the Bak-Sneppen model
Alexis Gillett, Ronald Meester, Misja Nuyens
We study the Bak-Sneppen model on locally finite transitive graphs , in particular on Z^d and on T_Delta, the regular tree with common degree Delta. We show that the avalanches…
A large-deviations analysis of the GI/GI/1 SRPT queue
Misja Nuyens, Bert Zwart
We consider a GI/GI/1 queue with the shortest remaining processing time discipline (SRPT) and light-tailed service times. Our interest is focused on the tail behavior of the sojour…
The Foregound-Background Processor-Sharing Queue: a survey
Misja Nuyens
The Foreground-Background (FB) discipline, which gives service to the customer that has received the least amount of service, minimises the queue length for a certain class of heav…
The effect of service time variability on maximum queue lengths in M^X/G/1 queues
Ger Koole, Misja Nuyens, Rhonda Righter
We study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an importa…
Sojourn times in the M/G/1 FB queue with light-tailed service times
Michel Mandjes, Misja Nuyens
The asymptotic decay rate of the sojourn time of a customer in the stationary M/G/1 queue under the Foreground Background (FB) service discipline is studied. The FB discipline give…