In this project, I reviewed the current research efforts in the direction of applying simple traffic regulators in the statistical multiplexing context. In particular, I focused on the most recent published result and described its novel approach in dealing with the problem of buffer and bandwidth allocations. The paper pointed out the situations when a traffic source is non-statistically multiplexable (non-SM) and further characterized the nonlinearity of the admissible region if SM and non-SM sources are multiplexed. An implication of this nonlinearity is that the nice additive property of effective bandwidth no longer holds.
Since this research field is fairly new, a number of interesting issues remain open. At the end of the paper, I itemized some of them and discussed possible future directions.