Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model
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 es...
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2024-10-01
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| author | 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 Francisco R. Castillo-Soria |
| author_facet | 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 Francisco R. Castillo-Soria |
| author_sort | Luis Alberto Vásquez-Toledo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d2388600ff1b49c38da3ed54dd83f5f6 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-d2388600ff1b49c38da3ed54dd83f5f62024-11-08T14:37:47ZengMDPI AGMathematics2227-73902024-10-011221340010.3390/math12213400Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 ModelLuis Alberto Vásquez-Toledo0Carlos González-Flores1Miguel Lopez-Guerrero2Alfonso Prieto-Guerrero3José Alfredo Tirado-Méndez4Ricardo Marcelín-Jiménez5Enrique Rodriguez-Colina6Michael Pascoe-Chalke7Francisco R. Castillo-Soria8Electrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoESIME-Zacatenco, Instituto Politécnico Nacional (IPN), Mexico City 07738, MexicoElectrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoElectrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoESIME-Zacatenco, Instituto Politécnico Nacional (IPN), Mexico City 07738, MexicoElectrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoElectrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoElectrical Engineering Department, Universidad Autónoma Metropolitana (UAM) Iztapalapa, Mexico City 09340, MexicoTelecommunications Department, Faculty of Sciences, Autonomous University of San Luis Potosi, San Luis Potosi 78295, MexicoNowadays, 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.https://www.mdpi.com/2227-7390/12/21/3400blocking probabilityNOMAMarkov chainbatch arrivalsnext generation |
| spellingShingle | 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 Francisco R. Castillo-Soria Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model Mathematics blocking probability NOMA Markov chain batch arrivals next generation |
| title | Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model |
| title_full | Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model |
| title_fullStr | Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model |
| title_full_unstemmed | Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model |
| title_short | Modeling and Performance Evaluation of a Cellular Network with OMA and NOMA Users with Batch Arrivals by Means of an <i>M</i><sup>[X]</sup>/<i>M</i>/<i>S</i>/0 Model |
| title_sort | modeling and performance evaluation of a cellular network with oma and noma users with batch arrivals by means of an i m i sup x sup i m i i s i 0 model |
| topic | blocking probability NOMA Markov chain batch arrivals next generation |
| url | https://www.mdpi.com/2227-7390/12/21/3400 |
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