For a two-node tandem fluid model with gradual input, we compute the joint steady-state buffer-content distribution. Our proof exploits martingale methods developed by Kella and Whitt. For the case of finite buffers, we use an insightful sample-path argument to extend an earlier proportionality result of Zwart to the network case.
|Number of pages||17|
|Journal||Probability in the engineering and informational sciences|
|Publication status||Published - 2002|