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A queueing model for a wireless sensor node using energy harvesting

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  • Chris Blondia

    (IDLab, University of Antwerp – imec)

Abstract

In this paper we propose a generic queueing model that can be used to evaluate the performance of a wireless sensor node that uses energy harvesting. The alteration of such a device between the transmit and sleep mode (or between consuming energy and harvesting energy), is modeled by means of a finite capacity queueing system with repeated server vacations. The duration of a service, resp. vacation, is determined by the available energy at the start of the service, resp. vacation. Therefor we introduce in the model a variable that keeps track of the available energy. The system occupancy and the available energy are observed at inspection instants (i.e., the end of a service or of a vacation), resulting in a discrete-time Markov Chain. We derive closed form formulas for the system occupancy distribution at inspection instants and at arbitrary time instants together with the Laplace transform of the waiting time distribution. The possible use of the model to evaluate the system’s performance for various parameter values is illustrated by means of a number of examples.

Suggested Citation

  • Chris Blondia, 2021. "A queueing model for a wireless sensor node using energy harvesting," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 77(2), pages 335-349, June.
    • Handle: RePEc:spr:telsys:v:77:y:2021:i:2:d:10.1007_s11235-021-00758-1
    DOI: 10.1007/s11235-021-00758-1
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    References listed on IDEAS

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    1. Tony T. Lee, 1984. "M / G /1/ N Queue with Vacation Time and Exhaustive Service Discipline," Operations Research, INFORMS, vol. 32(4), pages 774-784, August.
    2. Abhishek & Marko A. A. Boon & Onno J. Boxma & Rudesindo Núñez-Queija, 2017. "A single-server queue with batch arrivals and semi-Markov services," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 217-240, August.
    3. Shaikh, Faisal Karim & Zeadally, Sherali, 2016. "Energy harvesting in wireless sensor networks: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 1041-1054.
    4. Eline Cuypere & Koen Turck & Dieter Fiems, 2018. "A queueing model of an energy harvesting sensor node with data buffering," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 67(2), pages 281-295, February.
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    Cited by:

    1. Chris Blondia, 2022. "Evaluation of the Waiting Time in a Finite Capacity Queue with Bursty Input and a Generalized Push-Out Strategy," Mathematics, MDPI, vol. 10(24), pages 1-12, December.
    2. R. Sudhesh & A. Mohammed Shapique, 2022. "Transient analysis of power management in wireless sensor network with start-up times and threshold policy," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 80(1), pages 1-16, May.
    3. V. Deepa & M. Haridass & Dharmaraja Selvamuthu & Priyanka Kalita, 2023. "Analysis of energy efficiency of small cell base station in 4G/5G networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 82(3), pages 381-401, March.

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