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math.PR2018
Convergence properties of many parallel servers under power-of-D load balancing
Maria Clara Fittipaldi, Matthieu Jonckheere, Sergio I. Lopez
We consider a system of N queues with decentralized load balancing such as power-of-D strategies(where D may depend on N) and generic scheduling disciplines. To measure the depende…
math.PR2018
Attractiveness of Brownian queues in tandem
Eric A. Cator, Sergio I. Lopez, Leandro P. R. Pimentel
Consider a sequence of n bi-infinite and stationary Brownian queues in tandem. Assume that the arrival process entering in the first queue is a zero mean ergodic process. We prove…