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.
|Titel||31st International Symposium on Computer Performance, Modeling, Measurements and Evaluation (IFIP WG 7.3 Performance 2013, Vienna, Austria, September 24-26, 2013)|
|Plaats van productie||New York|
|Uitgeverij||Association for Computing Machinery, Inc|
|Status||Gepubliceerd - 2013|
|Naam||ACM SIGMETRICS Performance Evaluation Review|
|ISSN van geprinte versie||0163-5999|
Dorsman, J. L., Vlasiou, M., & Zwart, B. (2013). Parallel queueing networks with Markov-modulated service speeds in heavy traffic. In 31st International Symposium on Computer Performance, Modeling, Measurements and Evaluation (IFIP WG 7.3 Performance 2013, Vienna, Austria, September 24-26, 2013) (blz. 47-49). (ACM SIGMETRICS Performance Evaluation Review; Vol. 41). Association for Computing Machinery, Inc. https://doi.org/10.1145/2518025.2518034