3 citations · 8 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
The maximum queue length for heavy tailed service times
Misja Nuyens
In this paper we study the maximum queue length (in terms of the number of customers present) in a busy cycle in the M/G/1 queue. Assume that the service times have a logconvex…