Matrix analysis
Performance Guarantees in Communication Networks
Performance Guarantees in Communication Networks
Stochastic Network Calculus
Network calculus: a theory of deterministic queuing systems for the internet
Network calculus: a theory of deterministic queuing systems for the internet
A survey of envelope processes and their applications in quality of service provisioning
IEEE Communications Surveys & Tutorials
Survey of deterministic and stochastic service curve models in the network calculus
IEEE Communications Surveys & Tutorials
A calculus for SLA delay properties
MMB'12/DFT'12 Proceedings of the 16th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
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Many computer networks such as wireless networks are stochastic in nature. In order to perform performance guarantee analysis of such networks, a theory, called stochastic network calculus, has evolved. In the stochastic network calculus literature, most results are based on space-domain traffic and service models where the arrival process and the service process are respectively characterized by the cumulative amount of arrival and the cumulative amount of service. Recently, a novel approach called time-domain approach to stochastic network calculus (SNC) has been proposed, where the traffic and service models are defined based on the cumulative inter-arrival times and the cumulative service times respectively. In this paper, we concretize the time-domain SNC traffic and service models by linking some well-known stochastic processes to them. In addition, we exemplify the temporal analysis approach by investigating the delay performance of a Gilbert-Elliott channel. The results show that the delay bound can be improved under the independence condition. Furthermore, a comparison between the temporal and the spatial analysis results reveals that the two analytical approaches essentially yield close results.