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Fluid Analysis of Spatio-Temporal Properties of Agents in a Population Model

Bortolussi, Luca and Tschaikowski, Max Fluid Analysis of Spatio-Temporal Properties of Agents in a Population Model. In: Analytical and Stochastic Modelling Techniques and Applications. ASMTA 2016. Lecture Notes in Computer Science (9845). Springer, pp. 92-106. ISBN 978-3-319-43904-4 (2016)

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We consider large stochastic population models in which heterogeneous agents are interacting locally and moving in space. These models are very common, e.g. in the context of mobile wireless networks, crowd dynamics, traffic management, but they are typically very hard to analyze, even when space is discretized in a grid. Here we consider individual agents and look at their properties, e.g. quality of service metrics in mobile networks. Leveraging recent results on the combination of stochastic approximation with formal verification, and of fluid approximation of spatio-temporal population processes, we devise a novel mean-field based approach to check such behaviors, which requires the solution of a low-dimensional set of Partial Differential Equation, which is shown to be much faster than simulation. We prove the correctness of the method and validate it on a mobile peer-to-peer network example.

Item Type: Book Section
Identification Number: 10.1007/978-3-319-43904-4_7
Projects: This work was partially supported by the EU project QUANTICOL, 600708
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 08 Aug 2017 07:44
Last Modified: 08 Aug 2017 07:44
URI: http://eprints.imtlucca.it/id/eprint/3764

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