Multi-Class Processes , Dual Points and M / M / 1 Queues

@inproceedings{Ferrari2007MultiClassP,
  title={Multi-Class Processes , Dual Points and M / M / 1 Queues},
  author={Pablo A. Ferrari and James B. Martin},
  year={2007}
}
We consider the discrete Hammersley-Aldous-Diaconis process (HAD) and the totally asymmetric simple exclusion process (TASEP) in Z. The basic coupling induces a multiclass process which is useful in discussing shock measures and other important properties of the processes. The invariant measures of the multiclass systems are the same for both processes, and can be constructed as the law of the output process of a system of multiclass queues in tandem; the arrival and service processes of the… CONTINUE READING