The BRAVO Effect in Queues
Yoni Nazarathy

BRAVO stands for "Balancing Asymptotic Variance Rate of Outputs". It is a ubiquitous phenomenon for many queueing systems. When a queueing system is operated at criticality such that the arrival rate is similar to the service rate, the long term variability of the number of outputs from the system exhibits a sharp drop in comparison to the operation of the system in a non-critical regime.

BRAVO in an M/M/1/40 Queue. The asymptotic variance of outputs is plotted as a function of the arrival and service rate.

These are my publications related to BRAVO.

There are still multiple open problems associated with the BRAVO effect.