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Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an M [X] / M / S /0 Model

Author

Listed:
  • Luis Alberto Vásquez-Toledo

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • Carlos González-Flores

    (ESIME-Zacatenco, Instituto Politécnico Nacional (IPN), Mexico City 07738, Mexico)

  • Miguel Lopez-Guerrero

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • Alfonso Prieto-Guerrero

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • José Alfredo Tirado-Méndez

    (ESIME-Zacatenco, Instituto Politécnico Nacional (IPN), Mexico City 07738, Mexico)

  • Ricardo Marcelín-Jiménez

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • Enrique Rodriguez-Colina

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • Michael Pascoe-Chalke

    (Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, Mexico)

  • Francisco R. Castillo-Soria

    (Telecommunications Department, Faculty of Sciences, Autonomous University of San Luis Potosi, San Luis Potosi 78295, Mexico)

Abstract

Nowadays, efficient spectrum usage is one of the most important design principles to take into account in wireless communications due to the exponential growth of mobile devices. In that sense, solutions such as Non-Orthogonal Multiple Access (NOMA) and cognitive radio (CR) have been proposed. In essence, NOMA allows some interference level by using non-orthogonal resource allocation with a tolerable increase in receiver complexity employing successive interference cancellation (SIC). In this work, a novel mathematical model of teletraffic for users performing accessment, simultaneously, by means of Orthogonal Multiple Access (OMA) and NOMA, is developed using a Markovian process that considers bursts of arrivals to model the access schemes. This novel procedure implies a closed-form solution of the proposed system compared to other works where these parameters are estimated assuming the moment generating function obtained with approximation models. The model is validated with a discrete event simulator, considering different scenarios and simulation conditions. The simulation results are in agreement with the mathematical solution proposed.

Suggested Citation

  • Luis Alberto Vásquez-Toledo & Carlos González-Flores & Miguel Lopez-Guerrero & Alfonso Prieto-Guerrero & José Alfredo Tirado-Méndez & Ricardo Marcelín-Jiménez & Enrique Rodriguez-Colina & Michael Pasc, 2024. "Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an M [X] / M / S /0 Model," Mathematics, MDPI, vol. 12(21), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3400-:d:1510588
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    References listed on IDEAS

    as
    1. Yuan Zhao & Wuyi Yue & Zsolt Saffer, 2022. "Spectrum allocation strategy with a probabilistic preemption scheme in cognitive radio networks: analysis and optimization," Annals of Operations Research, Springer, vol. 310(2), pages 621-639, March.
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