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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.

A Temporal Network Calculus Approach to Service Guarantee Analysis of Stochastic Networks