Titlebook: Analytical and Stochastic Modeling Techniques and Applications; 19th International C Khalid Al-Begain,Dieter Fiems,Jean-Marc Vincent Confer

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Analysis of a Two-Class FCFS Queueing System with Interclass Correlation impact of the . in the arrival stream on the queueing performance of the system, in terms of the (average) number of customers in the system and the (average) customer delay and customer waiting time.

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Analysis of Periodically Gated Vacation Model and Its Application to IEEE 802.16 Networkat start and end of vacations. The mean and the probability-generating function of the number of customers at arbitrary epoch are determined..In the last part of the paper we demonstrate the application of the model to the non real-time uplink traffic in IEEE 802.16-based wireless broadband networks.

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Analytical and Stochastic Modelling of Battery Cell Dynamicstheoretical capacity. In particular, we study spatial versions of such models which lead to a linear diffusion equation with Robin type boundary conditions under scaling. Explicit solutions are obtained by considering reflected Brownian motion.

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James Jennings,Chris Kirkwood-Watts the 2-fold Laplace transform of the conditional distribution of .(.) is found and written down using a special-type sequence called a potential. From this representation the stationary distribution of .(.) as .?→?∞ and its mean can be easily obtained. Theoretical results are illustrated by numerical examples as well.