{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T23:18:17Z","timestamp":1785453497937,"version":"3.56.0"},"reference-count":22,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2020,5,20]],"date-time":"2020-05-20T00:00:00Z","timestamp":1589932800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Wireless Sensor Networks (WSNs) may be incorporated with thousands of small nodes. This gives them the capability to effectively sense, communicate, and compute parameters. However, the security and life span of a WSN node is a primary concern. This paper is focused on introducing a mathematical model of a modified Multitier Deterministic Energy-Efficient Clustering (DEC) based on novel election multi-tier random probability protocol for agricultural WSNs to enhance the life span of a WSN node along with a comparison of it with existing DEC protocol. In the proposed model, the selection of cluster heads, (CH), is done based on the energy drain pattern and location of the sensor nodes, which increased the lifespan of sensor nodes. In addition, several WSN probabilistic routing protocols to save energy throughout data transmissions like Low Energy Adaptive Clustering Hierarchy (LEACH), Power-Efficient Gathering in Sensor Information Systems (PEGASIS), DEC, and Stable Election Protocol (SEP) are explained. Moreover, it has been found that, after some mathematical modification in existing DEC routing, it will be capable to give a more positive result and reduce the energy drain in WSN nodes using a selective cluster head technique based on residual energy of sensor nodes. The DEC protocol is also compared with our proposed modified protocol for showing the energy-efficiency. The energy efficiency of clustering is associated with the field of energy sustainability of wireless sensor networks which is in the scope of Symmetry journal.<\/jats:p>","DOI":"10.3390\/sym12050837","type":"journal-article","created":{"date-parts":[[2020,5,20]],"date-time":"2020-05-20T10:37:38Z","timestamp":1589971058000},"page":"837","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":44,"title":["A New Energy Efficient Multitier Deterministic Energy-Efficient Clustering Routing Protocol for Wireless Sensor Networks"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8444-1094","authenticated-orcid":false,"given":"Hakan","family":"Koyuncu","sequence":"first","affiliation":[{"name":"Computer Engineering Department, Faculty of Engineering and Architecture, Istanbul Gelisim University, Istanbul 34310, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0246-1527","authenticated-orcid":false,"given":"Geetam S.","family":"Tomar","sequence":"additional","affiliation":[{"name":"Computer Science Department, Engineering Faculty, Shriram College of Engineering and Management, Gwalior 476444, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1569-2268","authenticated-orcid":false,"given":"Dinesh","family":"Sharma","sequence":"additional","affiliation":[{"name":"Computer Science Department, Engineering Faculty, Amity University, Gwalior 474005, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,5,20]]},"reference":[{"key":"ref_1","first-page":"393","article-title":"Wireless sensor networks: A survey","volume":"38","author":"Sankarasubramaniam","year":"2001","journal-title":"Comput. Netw."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1109\/MCOM.2002.1024422","article-title":"A survey on sensor networks","volume":"40","author":"Akyildiz","year":"2002","journal-title":"IEEE Commun. Mag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"18","DOI":"10.4018\/jbdcn.2011100102","article-title":"Enhancing clustering in wireless sensor networks with energy heterogeneity","volume":"7","author":"Aderohunmu","year":"2011","journal-title":"Int. J. Bus. Data Commun. Netw."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Estrin, D., Govindan, R., Heidemann, J., and Kumar, S. (1999, January 15\u201320). Next, century challenges: Scalable coordination in sensor networks. Proceedings of the 5th Annual ACM\/IEEE International Conference on Mobile Computing and Networking (MobiCom\u203299), Seattle, WA, USA.","DOI":"10.1145\/313451.313556"},{"key":"ref_5","first-page":"10","article-title":"Performance Comparison of LEACH, SEP and DEEC Protocols in Wireless Sensor Network","volume":"2","author":"Sharma","year":"2012","journal-title":"UACEE Int. J. Adv. Comput. Netw. Its Secur."},{"key":"ref_6","first-page":"1","article-title":"Energy-Efficient Communication Protocol for Wireless Microsensor Networks","volume":"Volume 8","author":"Heinzelman","year":"2000","journal-title":"Proceedings of the 33rd Hawaii International Conference on System Sciences (HICSS\u203200)"},{"key":"ref_7","unstructured":"Smaragdakis, G., Matta, I., and Bestavros, A. (, January August). SEP: A Stable Election Protocol for clustered heterogeneous wireless sensor networks. Proceedings of the Second International Workshop on Sensor and Actor Network Protocols and Applications (SANPA 2004), Boston, MA, USA."},{"key":"ref_8","first-page":"1","article-title":"Energy Efficient Routing Protocols in Wireless Sensor Networks: A Survey","volume":"4","author":"Vandana","year":"2015","journal-title":"Int. J. Eng. Res. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"305037","DOI":"10.1155\/2014\/305037","article-title":"Improving the energy efficiency of a cluster head election for wireless sensor networks","volume":"10","author":"Lee","year":"2014","journal-title":"Int. J. Distrib. Sens. Netw."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Wu, F., Chen, T., Zhong, S., Li, L.E., and Yang, Y.R. (2008, January 14\u201319). Incentive-compatible opportunistic routing for wireless networks. Proceedings of the 14th ACM international conference on Mobile computing and networking (MobiCom\u203208), San Francisco, CA, USA.","DOI":"10.1145\/1409944.1409979"},{"key":"ref_11","unstructured":"Lindsey, S., and Raghavendra, C.S. (2002, January 9\u201316). PEGASIS: Power-Efficient Gathering in Sensor Information Systems. Proceedings of the IEEE ICC, Big Sky, MT, USA."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"23","DOI":"10.9790\/3021-04332330","article-title":"Performance Optimization of WSN Using Deterministic Energy Efficient Clustering Protocol: A Review","volume":"4","author":"Chaudhary","year":"2014","journal-title":"IOSR J. Eng. (IOSRJEN)"},{"key":"ref_13","first-page":"11","article-title":"Stochastic and Balanced Distributed Energy-Efficient Clustering (SBDEEC) for heterogeneous wireless sensor networks","volume":"8","author":"Brahim","year":"2009","journal-title":"INFOCOMP J. Comput. Sci."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"660","DOI":"10.1109\/TWC.2002.804190","article-title":"An application-specific protocol architecture for wireless microsensor networks","volume":"1","author":"Heinzelman","year":"2002","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2230","DOI":"10.1016\/j.comcom.2006.02.017","article-title":"Design of a distributed energy-efficient clustering algorithm for heterogeneous wireless sensor networks","volume":"29","author":"Qing","year":"2006","journal-title":"ELSEVIER Comput. Commun."},{"key":"ref_16","unstructured":"Aderohunmu, F.A., Deng, J.D., and Purvis, M.K. (2009). Enhancing clustering in wireless sensor networks with energy heterogeneity. Information Science Discussion Papers, University of Otago."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Elbhiri, B., Rachid, S., El Fkihi, S., and Aboutajdine, D. (October, January 30). Developed Distributed Energy-Efficient Clustering (DDEEC) for heterogeneous wireless sensor networks. Proceedings of the 2010 5th International Symposium on I\/V Communications and Mobile Networks, ISIVC, Rabat, Morocco.","DOI":"10.1109\/ISVC.2010.5656252"},{"key":"ref_18","first-page":"27","article-title":"Comparison of Energy Efficient Clustering Protocols in Heterogeneous Wireless Sensor Networks","volume":"36","author":"Sheikhpour","year":"2011","journal-title":"Sci. Addit. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3069","DOI":"10.1109\/TWC.2007.06003","article-title":"A dynamic clustering and energy efficient routing technique for sensor networks","volume":"6","author":"Yu","year":"2007","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1109\/MWC.2004.1368893","article-title":"Wireless Sensor Networks Routing Techniques in Wireless Sensor Networks: A Survey","volume":"11","author":"Kamal","year":"2004","journal-title":"IEEE Wirel. Commun."},{"key":"ref_21","unstructured":"Gobriel, S. (2008). Energy-Efficient Design of Adhoc and Sensor Networks. [Ph.D. Thesis, University of Pittsburgh]."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.procs.2013.06.047","article-title":"Divide-and-rule scheme for energy efficient routing in wireless sensor networks","volume":"19","author":"Latif","year":"2013","journal-title":"Procedia Comput. Sci."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/5\/837\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:30:29Z","timestamp":1760175029000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/5\/837"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,20]]},"references-count":22,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2020,5]]}},"alternative-id":["sym12050837"],"URL":"https:\/\/doi.org\/10.3390\/sym12050837","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,5,20]]}}}