{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:19:22Z","timestamp":1760149162977,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2023,7,2]],"date-time":"2023-07-02T00:00:00Z","timestamp":1688256000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62101594","U22B2002","BK20212001"],"award-info":[{"award-number":["62101594","U22B2002","BK20212001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation on Frontier Leading Technology Basic Research Project of Jiangsu","award":["62101594","U22B2002","BK20212001"],"award-info":[{"award-number":["62101594","U22B2002","BK20212001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>One of the primary challenges in wireless blockchain networks is to ensure security and high throughput with constrained communication and energy resources. In this paper, with curve fitting on the collected blockchain performance dataset, we explore the impact of the data transmission rate configuration on the wireless blockchain system under different network topologies, and give the blockchain a utility function which balances the throughput, energy efficiency, and stale rate. For efficient blockchain network deployment, we propose a novel Graph Convolutional Neural Network (GCN)-based approach to quickly and accurately determine the optimal data transmission rate. The experimental results demonstrate that the average relative deviation between the blockchain utility obtained by our GCN-based method and the optimal utility is less than 0.21%.<\/jats:p>","DOI":"10.3390\/s23136098","type":"journal-article","created":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T00:53:16Z","timestamp":1688345596000},"page":"6098","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fast Determination of Optimal Transmission Rate for Wireless Blockchain Networks: A Graph Convolutional Neural Network Approach"],"prefix":"10.3390","volume":"23","author":[{"given":"Yucong","family":"Ju","sequence":"first","affiliation":[{"name":"College of Communications Engineering, Army Engineering University of PLA, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fei","family":"Song","sequence":"additional","affiliation":[{"name":"College of Communications Engineering, Army Engineering University of PLA, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yutao","family":"Jiao","sequence":"additional","affiliation":[{"name":"College of Communications Engineering, Army Engineering University of PLA, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiyi","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Communications Engineering, Army Engineering University of PLA, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenting","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Communications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhua","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Communications Engineering, Army Engineering University of PLA, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.future.2018.05.046","article-title":"On blockchain and its integration with iot. challenges and opportunities","volume":"88","author":"Reyna","year":"2018","journal-title":"Future Gener. Comput. Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3034","DOI":"10.1109\/TMC.2020.2994639","article-title":"Toward an automated auction framework for wireless federated learning services market","volume":"20","author":"Jiao","year":"2020","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1109\/MNET.2019.1900002","article-title":"When internet of things meets blockchain: Challenges in distributed consensus","volume":"33","author":"Cao","year":"2019","journal-title":"IEEE Netw."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3702","DOI":"10.1109\/JSAC.2022.3213338","article-title":"Meta-regulation: Adaptive adjustment to block size and creation interval for blockchain systems","volume":"40","author":"Cao","year":"2022","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3559","DOI":"10.1109\/TII.2019.2897805","article-title":"Performance optimization for blockchain-enabled industrial internet of things (iiot) systems: A deep reinforcement learning approach","volume":"15","author":"Liu","year":"2019","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"100128","DOI":"10.1016\/j.dibe.2023.100128","article-title":"Automated damage diagnosis of concrete jack arch beam using optimized deep stacked autoencoders and multi-sensor fusion","volume":"14","author":"Yu","year":"2023","journal-title":"Dev. Built Environ."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"115066","DOI":"10.1016\/j.engstruct.2022.115066","article-title":"Torsional capacity evaluation of rc beams using an improved bird swarm algorithm optimised 2d convolutional neural network","volume":"273","author":"Yu","year":"2022","journal-title":"Eng. Struct."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1109\/MNET.101.2100208","article-title":"How much communication resource is needed to run a wireless blockchain network?","volume":"36","author":"Zhang","year":"2021","journal-title":"IEEE Netw."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1016\/j.future.2017.08.020","article-title":"A survey on the security of blockchain systems","volume":"107","author":"Li","year":"2020","journal-title":"Future Gener. Comput. Syst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1975","DOI":"10.1109\/TPDS.2019.2900238","article-title":"Auction mechanisms in cloud\/fog computing resource allocation for public blockchain networks","volume":"30","author":"Jiao","year":"2019","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"10413","DOI":"10.1109\/JIOT.2023.3239928","article-title":"Connectivity-aware contract for incentivizing iot devices in complex wireless blockchain","volume":"10","author":"Wang","year":"2023","journal-title":"IEEE Internet Things J."},{"key":"ref_12","unstructured":"Nakamoto, S. (2008). Bitcoin: A peer-to-peer electronic cash system. Decentralized Bus. Rev., 21260. Available online: https:\/\/assets.pubpub.org\/d8wct41f\/31611263538139.pdf."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TNNLS.2020.2978386","article-title":"A comprehensive survey on graph neural networks","volume":"32","author":"Wu","year":"2020","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2579","DOI":"10.1109\/TNSE.2022.3166655","article-title":"Fa-gnn: Filter and augment graph neural networks for account classification in ethereum","volume":"9","author":"Liu","year":"2022","journal-title":"IEEE Trans. Netw. Sci. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2906","DOI":"10.1109\/TVT.2019.2894944","article-title":"Toward secure blockchain-enabled internet of vehicles: Optimizing consensus management using reputation and contract theory","volume":"68","author":"Kang","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.aiopen.2021.01.001","article-title":"Graph neural networks: A review of methods and applications","volume":"1","author":"Zhou","year":"2020","journal-title":"AI Open"},{"key":"ref_17","unstructured":"Kipf, T.N., and Welling, M. (2016). Semi-supervised classification with graph convolutional networks. arXiv."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"22328","DOI":"10.1109\/ACCESS.2019.2896108","article-title":"A survey on consensus mechanisms and mining strategy management in blockchain networks","volume":"7","author":"Wang","year":"2019","journal-title":"IEEE Access"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/13\/6098\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:04:52Z","timestamp":1760126692000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/13\/6098"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,2]]},"references-count":18,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2023,7]]}},"alternative-id":["s23136098"],"URL":"https:\/\/doi.org\/10.3390\/s23136098","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2023,7,2]]}}}