{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T14:44:48Z","timestamp":1769611488140,"version":"3.49.0"},"reference-count":48,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,8]],"date-time":"2022-11-08T00:00:00Z","timestamp":1667865600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003093","name":"Ministry of Higher Education","doi-asserted-by":"publisher","award":["FRGS\/1\/2020\/TK0\/UM\/02\/30"],"award-info":[{"award-number":["FRGS\/1\/2020\/TK0\/UM\/02\/30"]}],"id":[{"id":"10.13039\/501100003093","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Nonorthogonal multiple access (NOMA) is considered a promising technique for improving energy efficiency (EE) in beyond-5G wireless systems. In this paper, we investigate the maximization of EE of downlink wireless systems by combining mmWave with NOMA technologies, considering the asymmetric required data rate of user applications. We propose a genetic algorithm (GA) to solve the non-convex energy efficiency problem for an imperfect CSI downlink mmWave NOMA system. The studied mixed-integer optimization problem was converted to an integer optimization problem and solved using a GA, which determines the best clustering members in mmWave NOMA. The required population size of the proposed GA was determined to evaluate its effectiveness for a massive number of users. In addition, the GA\u2019s convergence to the optimal solution for light traffic and relatively heavy traffic was also analyzed. Our results illustrate that the solution obtained solution via GA is almost equal to the optimal value and outperforms the conventional orthogonal multiple access, where the EE is improved by more than 75%. Finally, the impact of the estimation error of CSI on the system performance was evaluated at different required SINR scenarios. The results show that EE is degraded in the case of imperfect CSI case but is still close to the optimal solution.<\/jats:p>","DOI":"10.3390\/sym14112345","type":"journal-article","created":{"date-parts":[[2022,11,8]],"date-time":"2022-11-08T10:54:40Z","timestamp":1667904880000},"page":"2345","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Genetic Algorithm for Optimizing Energy Efficiency in Downlink mmWave NOMA System with Imperfect CSI"],"prefix":"10.3390","volume":"14","author":[{"given":"Reem","family":"Aldebes","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, Universiti Malaya, Kuala Lumpur 50603, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0186-3890","authenticated-orcid":false,"given":"Kaharudin","family":"Dimyati","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, Universiti Malaya, Kuala Lumpur 50603, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6384-0435","authenticated-orcid":false,"given":"Effariza","family":"Hanafi","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, Universiti Malaya, Kuala Lumpur 50603, Malaysia"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"175758","DOI":"10.1109\/ACCESS.2019.2957648","article-title":"A Survey on Green 6G Network: Architecture and Technologies","volume":"7","author":"Huang","year":"2019","journal-title":"IEEE Access"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"15049","DOI":"10.1109\/JIOT.2020.3007017","article-title":"Uplink Resource Allocation for NOMA-based Hybrid Spectrum Access in 6G-enabled Cognitive Internet of Things","volume":"8","author":"Liu","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"116123","DOI":"10.1109\/ACCESS.2019.2935169","article-title":"Millimeter-Wave Communications with Non-Orthogonal Multiple Access for B5G\/6G","volume":"7","author":"Zhu","year":"2019","journal-title":"IEEE Access"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1109\/MWC.2018.1700134","article-title":"Non-Orthogonal Multiple Access for Cooperative Communications: Challenges, Opportunities, and Trends","volume":"25","author":"Wan","year":"2018","journal-title":"IEEE Wirel. 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