By Sabine Wittevrongel, Tuan Phung-Duc
This publication constitutes the refereed court cases of the twenty third foreign convention on Analytical and Stochastic Modelling concepts and functions, ASMTA 2016, held in Cardiff, united kingdom, in August 2016.
The 21 complete papers offered during this publication have been conscientiously reviewed and chosen from 30 submissions. The papers speak about the newest advancements in analytical, numerical and simulation algorithms for stochastic platforms, together with Markov procedures, queueing networks, stochastic Petri nets, method algebras, online game idea, etc.
Read or Download Analytical and Stochastic Modelling Techniques and Applications: 23rd International Conference, ASMTA 2016, Cardiff, UK, August 24-26, 2016, Proceedings PDF
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Additional resources for Analytical and Stochastic Modelling Techniques and Applications: 23rd International Conference, ASMTA 2016, Cardiff, UK, August 24-26, 2016, Proceedings
Z − σ) (12) By substituting Eq. 12 in Eq. 11 we obtain for UA (z) UA (z) = σ(E(z) − E(0)) uI + UA (σ) UB (1 − σ) + σ 1−σ − σzE(z)UB (1 − σ) (1 − σ)(z − (1 − σ)) + σE(z) UA (σ) UB (1 − σ) + (1 − σ)(E(z) − E(0)) uI + z − (1 − σ) σ 1−σ + (1 − σ)zE(z)UA (σ) (1 − σ)E(z) UA (z) − . z−σ σ(z − σ) System Occupancy of a Two-Class Variable Capacity Batch-Service Queue 39 We now multiply by (z − σ)(z − 1 + σ) and put all terms that contain UA (z) in the left-hand side of the equation. Also using Eq. 6 to substitute uI leads to UA (z) (z − σ)(z − (1 − σ)) − σ(1 − σ)E(z)2 = σ(z − σ) z − 1 + σ + (1 − σ)E(z) − UA (σ) UB (1 − σ) + σ 1−σ E(z) − E(0) 1 − E(0) σ(z − σ)zE(z)UB (1 − σ) − (1 − σ)zE(z)2 UA (σ).
The importance of time-reversibly relies on the fact that, in general, the process’s stationary distribution can be derived eﬃciently by using numerically stable algorithms. This paper reviews the main results about time-reversible Markov processes and discusses how to apply them to tackle the problem of the quantitative evaluation of reversible computations. 1 Introduction Reversible computations have two execution directions: forward, corresponding to the usual notion of computation, and backward that restores previous states of the execution.
Polling with batch service. Stochast. Models 24(4), 604–625 (2008) 11. : 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.