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On the Retrial-Queuing Model for Strategic Access and Equilibrium-Joining Strategies of Cognitive Users in Cognitive-Radio Networks with Energy Harvesting

Author

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  • Kalpana Devarajan

    (Department of Science and Humanities, KIT-KalaignarKarunanidhi Institute of Technology, Coimbatore 641 402, India)

  • Muthukrishnan Senthilkumar

    (Department of Applied Mathematics and Computational Sciences, P.S.G. College of Technology, Coimbatore 641 004, India)

Abstract

This article studies the strategic access of single-server retrial queue with two types of customers, where priority is given according to their category. On the basis of this concept, a cognitive-radio network was developed as retrial queue with energy harvesting. Cognitive radio allows for a secondary user to opportunistically access the idle spectrum of a primary user (PU). Upon arrival of a primary user, the service given to the secondary user by the cognitive radio is interrupted, and the PU band is available for the primary user. After completion of service for the primary user, the PU band is again available to secondary users. Performance metrics are derived to study the equilibrium strategies of secondary users. A Stackelberg game was formulated and Nash equilibrium was derived for the noncooperative strategy of the secondary user. Game-theory concepts are incorporated with queuing theory ideas to obtain the net benefit for the noncooperative strategy and social benefit for cooperative strategy. Lastly, analytical results are verified with numerical examples, and the effects of energy-harvesting rate are discussed.

Suggested Citation

  • Kalpana Devarajan & Muthukrishnan Senthilkumar, 2021. "On the Retrial-Queuing Model for Strategic Access and Equilibrium-Joining Strategies of Cognitive Users in Cognitive-Radio Networks with Energy Harvesting," Energies, MDPI, vol. 14(8), pages 1-21, April.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:8:p:2088-:d:532846
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    References listed on IDEAS

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    1. Antonis Economou & Spyridoula Kanta, 2011. "Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(2), pages 107-122, March.
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    Cited by:

    1. Jain, Madhu & Dhibar, Sibasish, 2023. "ANFIS and metaheuristic optimization for strategic joining policy with re-attempt and vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 57-84.

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