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- Title
Discrete time queueing networks with product form steady state. Availability and performance analysis in an integrated model.
- Authors
Malchin, Christian; Daduna, Hans
- Abstract
For a discrete time network of generalized Bernoulli servers with unreliable nodes we derive the steady state probabilities for the joint queue length vector for all nodes and the availability status of the network. This allows us to assess the performance behavior and the reliability, resp. availability, of the network in an integrated model. Because our result exhibits a product form for the steady state distribution it opens the path to fast algorithmic evaluation of the desired performance and reliability indices.
- Subjects
QUEUEING networks; SYSTEMS availability; STOCHASTIC processes; ASYMPTOTIC efficiencies; PERFORMANCE evaluation
- Publication
Queueing Systems, 2010, Vol 65, Issue 4, p385
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-010-9181-2