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

Luis Alberto Vásquez-Toledo (), Carlos González-Flores, Miguel Lopez-Guerrero, Alfonso Prieto-Guerrero, José Alfredo Tirado-Méndez, Ricardo Marcelín-Jiménez, Enrique Rodriguez-Colina, Michael Pascoe-Chalke and Francisco R. Castillo-Soria
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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

Mathematics, 2024, vol. 12, issue 21, 1-18

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.

Keywords: blocking probability; NOMA; Markov chain; batch arrivals; next generation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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