{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:24:43Z","timestamp":1760232283379,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2022,10,29]],"date-time":"2022-10-29T00:00:00Z","timestamp":1667001600000},"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":["92067202","62071058","No.KFKT-2022104"],"award-info":[{"award-number":["92067202","62071058","No.KFKT-2022104"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["92067202","62071058","No.KFKT-2022104"],"award-info":[{"award-number":["92067202","62071058","No.KFKT-2022104"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory of Universal Wireless Communications (BUPT), Ministry of Education, China","award":["92067202","62071058","No.KFKT-2022104"],"award-info":[{"award-number":["92067202","62071058","No.KFKT-2022104"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a new system entropy measure is used to optimize the routing algorithm in power consumption. We introduce the system entropy measure into the problem of industrial wireless sensor networks (iWSNs) routing and propose a high-performance routing algorithm guided by the system entropy measure (rSEM). Based on the cluster iWSNs architecture, the rSEM selects the cluster heads and cluster member nodes successively, according to the system entropy measure, and constructs the iWSNs with the minimum system entropy. The method of the cluster head selection is traversal, while the method of the cluster member selection is a greedy algorithm to reduce the complexity. The experiments show that the power consumption of the iWSNs generated by the rSEM is in the same order of magnitude as that of Dijkstra in both 2D and 3D scenarios. In addition, the delay of the rSEM is slightly higher than that of LEACH. Therefore, the rSEM is suitable for networks that are sensitive to both the delay and power consumption. The rSEM puts forward a new idea for the design of routing for the next-generation iWSNs, which improves the overall network performance according to the network topology, instead of relying on the power consumption or delay performance only.<\/jats:p>","DOI":"10.3390\/s22218291","type":"journal-article","created":{"date-parts":[[2022,10,30]],"date-time":"2022-10-30T10:47:57Z","timestamp":1667126877000},"page":"8291","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["rSEM: System-Entropy-Measure-Guided Routing Algorithm for Industrial Wireless Sensor Networks"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7554-469X","authenticated-orcid":false,"given":"Xiaoxiong","family":"Xiong","sequence":"first","affiliation":[{"name":"Key Laboratory of Universal Wireless Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3212-1045","authenticated-orcid":false,"given":"Chao","family":"Dong","sequence":"additional","affiliation":[{"name":"Key Laboratory of Universal Wireless Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8076-1867","authenticated-orcid":false,"given":"Kai","family":"Niu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Universal Wireless Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1109\/JSAC.2017.2692307","article-title":"5G: A tutorial overview of standards trials challenges deployment and practice","volume":"35","author":"Shafi","year":"2017","journal-title":"IEEE J. Ser. Areas Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3619","DOI":"10.1109\/ACCESS.2017.2779844","article-title":"A Survey on 5G Networks for the Internet of Things: Communication Technologies and Challenges","volume":"6","author":"Akpakwu","year":"2018","journal-title":"IEEE Access"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Glorioso, R.M., Grueneich, G.R., and McElroy, D. (1970, January 7\u20139). Adaptive routing in a large communications network. Proceedings of the 1970 IEEE Symposium on Adaptive Processes (9th) Decision and Control, Austin, TX, USA.","DOI":"10.1109\/SAP.1970.269999"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/BF01386390","article-title":"A note on two problems in connexion with graphs","volume":"1","author":"Dijkstra","year":"1959","journal-title":"Numer. Math."},{"key":"ref_5","unstructured":"Alpert, C.J., Hu, T.C., Huang, J.H., and Kahng, A.B. (1993, January 3\u20136). A direct combination of the Prim and Dijkstra constructions for improved performance-driven global routing. Proceedings of the 1993 IEEE International Symposium on Circuits and Systems, Chicago, IL, USA."},{"key":"ref_6","first-page":"570","article-title":"A Survey of EnergyEfficient Hierarchical Cluster-based Routing in Wireless Sensor Networks","volume":"2","author":"Singh","year":"2010","journal-title":"Int. J. Adv. Netw. Appl. (IJANA)"},{"key":"ref_7","unstructured":"Wu, X., and Wang, S. (2010, January 10\u201312). Performance Comparison of LEACH and LEACH-C Protocols by NS2. Proceedings of the 2010 Ninth International Symposium on Distributed Computing and Applications to Business, Engineering and Science, Hong Kong, China."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Zhang, F., Yin, Z., Gu, A., Li, Y., and Liu, H. (2018, January 7\u201310). Research on Simulation of Cluster Routing Protocol for Industrial Wireless Sensor Networks. Proceedings of the 2018 IEEE 4th International Conference on Computer and Communications (ICCC), Chengdu, China.","DOI":"10.1109\/CompComm.2018.8780600"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Wen, T., Hu, Y., Zhang, B., and Long, Z. (November, January 30). Research on LEACH Routing Algorithm Based on Fuzzy Logic. Proceedings of the 2020 IEEE 4th Conference on Energy Internet and Energy System Integration (EI2), Wuhan, China.","DOI":"10.1109\/EI250167.2020.9347135"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Chit, T.A., and Zar, K.T. (2018, January 26\u201329). Lifetime Improvement of Wireless Sensor Network using Residual Energy and Distance Parameters on LEACH Protocol. Proceedings of the 2018 18th International Symposium on Communications and Information Technologies (ISCIT), Bangkok, Thailand.","DOI":"10.1109\/ISCIT.2018.8587930"},{"key":"ref_11","unstructured":"Dong, C., Xiong, X., Xue, Q., Zhang, Z., Niu, K., and Zhang, P. (2022). A Survey on the Network Models applied in the Industrial Network Optimization. arXiv."},{"key":"ref_12","unstructured":"Cover, T.M., and Thomas, J.A. (1991). Elements of Information Theory, Wiley."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1109\/TNNLS.2020.2968509","article-title":"Understanding Convolutional Neural Networks With Information Theory: An Initial Exploration","volume":"32","author":"Yu","year":"2021","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1109\/WCL.2014.012914.130840","article-title":"Optimal Power Allocation for Wireless Sensor Networks with Outage Constraint","volume":"3","author":"Huang","year":"2014","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"ref_15","unstructured":"(2019). (V16.0.0): Study on Channel Model for Frequencies from 0.5 to 100 GHz (Standard No. 3GPP TR 38.901)."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/21\/8291\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:05:27Z","timestamp":1760144727000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/21\/8291"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,29]]},"references-count":15,"journal-issue":{"issue":"21","published-online":{"date-parts":[[2022,11]]}},"alternative-id":["s22218291"],"URL":"https:\/\/doi.org\/10.3390\/s22218291","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2022,10,29]]}}}