Analytical and Stochastic Modelling Techniques and by Sabine Wittevrongel, Tuan Phung-Duc

By Sabine Wittevrongel, Tuan Phung-Duc

This booklet constitutes the refereed court cases of the twenty third foreign convention on Analytical and Stochastic Modelling innovations and functions, ASMTA 2016, held in Cardiff, united kingdom, in August 2016.

The 21 complete papers offered during this publication have been rigorously reviewed and chosen from 30 submissions. The papers speak about the most recent advancements in analytical, numerical and simulation algorithms for stochastic structures, together with Markov procedures, queueing networks, stochastic Petri nets, method algebras, video game thought, etc.

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Extra info for Analytical and Stochastic Modelling Techniques and Applications: 23rd International Conference, ASMTA 2016, Cardiff, UK, August 24-26, 2016, Proceedings

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Baetens et al. during two consecutive slots, which is equal to 2λ, is less than the mean number of customers processed during the same slots. The mean number of processed customers during two consecutive slots is the sum of the mean batch size of a class A and B batch. The batch size follows a geometric distribution with parameter σ (class A) or 1 − σ (class B) respectively. The stability condition is then given by 2λ < 1 1 + . , the system is always stable. This is as expected, since in this case all customers are of the same class, which means that no matter how many customers arrive, the server will always aggregate all waiting customers in a single batch.

Polling with batch service. OR Spectr. it Abstract. Reversible computations have been widely studied from the functional point of view and energy consumption. In the literature, several authors have proposed various formalisms (mainly based on process algebras) for assessing the correctness or the equivalence among reversible computations. In this paper we propose the adoption of Markovian stochastic models to assess the quantitative properties of reversible computations. Under some conditions, we show that the notion of time-reversibility for Markov chains can be used to efficiently derive some performance measures of reversible computations.

We observe from the figure that the higher is ρ the higher is the desired k. This coincides with our intuition: the higher is the dependency, the more values we need to skip. Finally we see, that in case of no correlation (ρ = 0) skipping nodes is useless. 24 K. Avrachenkov et al. Fig. 2. Variance with Eq. 2 General Case Even if the geometric model is not realistic, it allowed us to better understand the potential improvement from subsampling. This section will generalize this idea to the case where the samples are collected through a random walk on a graph with m nodes.

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