Model Checking Two Layers of Mean-Field Models

Anna Kolesnichenko (), Anne Remke (), Pieter-Tjerk Boer () and Boudewijn R. Haverkort ()
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Anna Kolesnichenko: UL Transaction Security Division
Anne Remke: University of Münster
Pieter-Tjerk Boer: University of Twente
Boudewijn R. Haverkort: University of Twente

A chapter in Principles of Performance and Reliability Modeling and Evaluation, 2016, pp 341-369 from Springer

Abstract: Abstract Recently, many systems that consist of a large number of interacting objects have been analysed using the mean-field method, which allows a quick and accurate analysis of such systems, while avoiding the state-space explosion problem. To date, the mean-field method has primarily been used for classical performance evaluation purposes. In this chapter, we discuss model-checking mean-field models. We define and motivate two logics, called Mean-Field Continuous Stochastic Logic (MF-CSL) and Mean-Field Logic (MFL), to describe properties of systems composed of many identical interacting objects. We present model-checking algorithms and discuss the differences in the expressiveness of these two logics and their combinations.

Keywords: Transition Rate; Boolean Function; Local Model; Individual Object; Reachability Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-319-30599-8_13

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DOI: 10.1007/978-3-319-30599-8_13

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