Time-dependent SIR analysis in shopping malls using fractal-based mobility models

Yuri Orlov, Elisabeth Kirina-Lilinskaya, Andrey Samuylov, Aleksandr Ometov, Dmitri Moltchanov, Yulia Gaimamaka, Sergey Andreev, Konstantin Samouylov

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

    5 Citations (Scopus)
    2 Downloads (Pure)


    Shopping malls are characterized by a high density of users. The use of direct device-to-device (D2D) communications may significantly mitigate the load imposed on the cellular systems in such environments. In addition to high user densities, the communicating entities are inherently mobile with very specific attractor-based mobility patterns. In this paper, we propose a model for characterizing time-dependent signal-to-interference ratio (SIR) in shopping malls. Particularly, we use fractional Fokker-Plank equation for modeling the non-linear functional of the average SIR value, defined on a stochastic fractal trajectory. The evolution equation of the average SIR is derived in terms of fractal motion of the tagged receiver and the interfering devices. We illustrate the use of our model by showing that the behavior of SIR is generally varying for different types of fractals.

    Original languageEnglish
    Title of host publicationWired/Wireless Internet Communications - 15th IFIP WG 6.2 International Conference, WWIC 2017, Proceedings
    Number of pages10
    ISBN (Print)9783319613819
    Publication statusPublished - 2017
    Publication typeA4 Article in conference proceedings
    EventInternational Conference on Wired/Wireless Internet Communication -
    Duration: 1 Jan 1900 → …

    Publication series

    NameLecture Notes in Computer Science
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    ConferenceInternational Conference on Wired/Wireless Internet Communication
    Period1/01/00 → …


    • Average SIR evolution
    • Device-to-device communications
    • Fractal stochastic motion
    • Mobility
    • Time-dependent metrics

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Computer Science(all)


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