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math.PR2020
Mean Waiting Time in Large-Scale and Critically Loaded Power of d Load Balancing Systems
Tim Hellemans, Benny Van Houdt
Mean field models are a popular tool used to analyse load balancing policies. In some cases the waiting time distribution of the mean field limit has an explicit form. In other cas…
math.PR2016
An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric
Ben Berckmoes, Tim Hellemans, Mark Sioen +1
After shortly reviewing the fundamentals of approach theory as introduced by R. Lowen in 1989, we show that this theory is intimately related with the well-known Wasserstein metric…