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Monotonicity conjecture for cumulative optimal buffer sizes in heterogeneous server clusters
Consider a cluster with $N$ servers, indexed so that server $1$ is fastest and server $N$ is slowest. Let $\boldsymbol{ll}=(ll_1,ll_2,ots,ll_N)$ denote the optimal buffer lengths a…
Conjectureopenheterogeneous-servers load-balancing queueing-theoryarXiv posted 2 days ago

Monotonicity conjecture for cumulative optimal buffer sizes in heterogeneous server clusters