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Model Checking Two Layers of Mean-Field Models

In: Principles of Performance and Reliability Modeling and Evaluation

Author

Listed:
  • Anna Kolesnichenko

    (UL Transaction Security Division)

  • Anne Remke

    (University of Münster)

  • Pieter-Tjerk Boer

    (University of Twente)

  • Boudewijn R. Haverkort

    (University of Twente)

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.

Suggested Citation

  • Anna Kolesnichenko & Anne Remke & Pieter-Tjerk Boer & Boudewijn R. Haverkort, 2016. "Model Checking Two Layers of Mean-Field Models," Springer Series in Reliability Engineering, in: Lance Fiondella & Antonio Puliafito (ed.), Principles of Performance and Reliability Modeling and Evaluation, pages 341-369, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-30599-8_13
    DOI: 10.1007/978-3-319-30599-8_13
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