We study a network of parallel single-server queues, where the service speeds are governed by a continuous-time Markov chain. This generic model finds applications in many areas such as communication systems, computer systems and manufacturing systems. We obtain heavy-traffic approximations for the joint workload, delay and queue length processes by combining a functional central limit theorem approach with matrix-analytic methods. In addition, we numerically compute the joint distributions by viewing the limit processes as semi-martingale reflected Brownian motions.
|Number of pages||3|
|Journal||SIGMETRICS performance evaluation review|
|Publication status||Published - 2013|
|Event||IFIP WG 7.3 Performance 2013 31st International Symposium on Computer Performance, Modeling, Measurements and Evaluation, IFIPWG 7.3 Performance 2013 - Vienna, Austria|
Duration: 24 Sep 2013 → 26 Sep 2013
Conference number: 31