Abstract Consider a Markov chain with finite state space and suppose you wish to change time replacing the integer step index n random counting process N ( t ). What happens mixing of chain? We present partial reply in particular case interest which ) is renewal power-law distributed inter-arrival times $$\beta $$ β </mm...

We introduce the Stochastic Quality Calculus in order to model and reason about distributed processes that rely on each other in order to achieve their overall behaviour. The calculus supports broadcast communication in a truly concurrent setting. Generally distributed delays are associated with the outputs and at the same time the inputs impose constraints on the waiting times. Consequently, t...

Markov renewal processes with matrix-exponential semi-Markov kernels provide a generic tool for modeling auto-correlated interarrival and service times in queueing systems. In this paper, we study the steady-state actual waiting time distribution in an infinite capacity single-server semi-Markov queuewith the auto-correlation in interarrival and service timesmodeled byMarkov renewal processes w...

.................................................................................................................... 2 Preface ....................................................................................................................... 3 Acknowledgements................................................................................................... 4 Chapter 1: Introduction .........

In order to accurately predict the Web service Qos in a highly dynamic environment,we put forward a Qos dynamic prediction method based on Semi-Markov Processes(SMP) and Case-based Reasoning(CBR).This method firstly uses semi-Markov process to predict business state of web service in the future, and then applies the technology of CBR to predict Web service QoS, for example,when the service deal...