{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T08:01:11Z","timestamp":1761897671469,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,4,15]],"date-time":"2022-04-15T00:00:00Z","timestamp":1649980800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>It has been shown in the literature that the lifetime of a wireless sensor network is heavily connected to the number of transmissions that network nodes have to undertake. Considering this finding, along with the effects of the energy hole problem where nodes closer to the sink node transmit more than the more distant ones, a node close to the sink node will be the one that transmits the most, while it will also be the node that will deplete its battery first. Taking into consideration that the failure of a single network node to operate, due to its battery being discharged, can lead to a network stopping its operation, the most energy-consuming node in the network will also be the one that will be responsible for the network\u2019s termination. In this sense, the most energy-consuming node\u2019s energy consumption optimization is the main case in this paper. More specifically, in this work, it is firstly shown that the energy consumption of a wireless sensor network is closely related to each network node\u2019s traffic load, that is the transmissions of the packets that are created or forwarded by a node. The minimization of the most energy-consuming node\u2019s energy consumption was studied here, while the implementation of a traffic-load-based algorithm is also proposed. Under the proposed algorithm, given a simple shortest path approach that assigns a parent (i.e., the next hop towards the sink node) in each network node and the knowledge it provides regarding the distance (in hops in this paper\u2019s case) of network nodes from the sink node, the proposed algorithm exploits the shortest path\u2019s results in order to discover, for all network nodes, neighbors that are of the same distance (from the sink node) with the initially assigned parent. Then, if such neighbors exist, all these neighbors are equally burdened with the parenting role. As a result, the traffic load is shared by all of them. To evaluate the proposed algorithm, simulation results are provided, showing that the goals set were achieved; thus, the network lifetime was prolonged. In addition, it is shown that under the algorithm, a fairer distribution of the traffic load takes place.<\/jats:p>","DOI":"10.3390\/info13040202","type":"journal-article","created":{"date-parts":[[2022,4,18]],"date-time":"2022-04-18T04:21:28Z","timestamp":1650255688000},"page":"202","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Traffic-Load-Based Algorithm for Wireless Sensor Networks\u2019 Lifetime Extension"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9010-3422","authenticated-orcid":false,"given":"Georgios","family":"Tsoumanis","sequence":"first","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0615-783X","authenticated-orcid":false,"given":"Nikolaos","family":"Giannakeas","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9043-1290","authenticated-orcid":false,"given":"Alexandros T.","family":"Tzallas","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Evripidis","family":"Glavas","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kyriakos","family":"Koritsoglou","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6243-3755","authenticated-orcid":false,"given":"Evaggelos","family":"Karvounis","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konstantinos","family":"Bezas","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Constantinos T.","family":"Angelis","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, School of Informatics and Telecommunications, University of Ioannina, Campus of Arta, GR-47100 Arta, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/S1389-1286(01)00302-4","article-title":"Wireless sensor networks: A survey","volume":"38","author":"Akyildiz","year":"2002","journal-title":"Comput. Netw."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"921","DOI":"10.1016\/j.comnet.2006.10.002","article-title":"A survey on wireless multimedia sensor networks","volume":"51","author":"Akyildiz","year":"2007","journal-title":"Comput. Netw."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/j.adhoc.2008.06.003","article-title":"Energy conservation in wireless sensor networks: A survey","volume":"7","author":"Anastasi","year":"2009","journal-title":"Ad Hoc Netw."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Ogundile, O.O., and Alfa, A.S. (2017). A survey on an energy-efficient and energy-balanced routing protocol for wireless sensor networks. Sensors, 17.","DOI":"10.3390\/s17051084"},{"key":"ref_5","first-page":"304","article-title":"A survey on unequal clustering protocols in wireless sensor networks","volume":"31","author":"Arjunan","year":"2019","journal-title":"J. King Saud Univ. Comput. Inf. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"6457942","DOI":"10.1155\/2017\/6457942","article-title":"Energy efficient hierarchical clustering approaches in wireless sensor networks: A survey","volume":"2017","author":"Jan","year":"2017","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.asoc.2018.10.002","article-title":"MLBC: Multi-objective load balancing clustering technique in wireless sensor networks","volume":"74","author":"Randhawa","year":"2019","journal-title":"Appl. Soft Comput."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1007\/s11276-018-1679-2","article-title":"SCE-PSO based clustering approach for load balancing of gateways in wireless sensor networks","volume":"25","author":"Edla","year":"2019","journal-title":"Wirel. Netw."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"4227","DOI":"10.1007\/s11276-020-02336-w","article-title":"Glowworm swarm optimization for effectual load balancing and routing strategies in wireless sensor networks","volume":"26","author":"Sampathkumar","year":"2020","journal-title":"Wirel. Netw."},{"key":"ref_10","first-page":"93","article-title":"Glowworm swarm optimisation: A new method for optimising multi-modal functions","volume":"1","author":"Krishnanand","year":"2009","journal-title":"Int. J. Comput. Intell. Stud."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s11277-018-6015-8","article-title":"Energy-efficient routing mechanism for mobile sink in wireless sensor networks using particle swarm optimization algorithm","volume":"104","author":"Tabibi","year":"2019","journal-title":"Wirel. Pers. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2172","DOI":"10.1016\/j.adhoc.2013.04.009","article-title":"Load balancing techniques for lifetime maximizing in wireless sensor networks","volume":"11","author":"Kacimi","year":"2013","journal-title":"Ad Hoc Netw."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Dorigo, M., and St\u00fctzle, T. (2019). Ant colony optimization: Overview and recent advances. Handb. Metaheuristics, 311\u2013351.","DOI":"10.1007\/978-3-319-91086-4_10"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"113182","DOI":"10.1109\/ACCESS.2019.2934889","article-title":"Energy-efficient load balancing ant based routing algorithm for wireless sensor networks","volume":"7","author":"Li","year":"2019","journal-title":"IEEE Access"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"105706","DOI":"10.1016\/j.asoc.2019.105706","article-title":"Energy efficient load balancing approach for avoiding energy hole problem in WSN using Grey Wolf Optimizer with novel fitness function","volume":"84","author":"Lipare","year":"2019","journal-title":"Appl. Soft Comput."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1375","DOI":"10.3906\/elk-1508-162","article-title":"Energy-hole avoidance and lifetime enhancement of a WSN through load factor","volume":"25","author":"Sharma","year":"2017","journal-title":"Turk. J. Electr. Eng. Comput. Sci."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"6134","DOI":"10.1109\/ACCESS.2017.2676004","article-title":"A balanced energy-consuming and hole-alleviating algorithm for wireless sensor networks","volume":"5","author":"Jan","year":"2017","journal-title":"IEEE Access"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Kumar, S., Gautam, P.R., Verma, A., Verma, R., and Kumar, A. (2019, January 8\u201310). Energy Efficient Routing using Sectors Based Energy-Hole Reduction in WSNs. Proceedings of the 2019 International Conference on Electrical, Electronics and Computer Engineering (UPCON), Aligarh, India.","DOI":"10.1109\/UPCON47278.2019.8980254"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Kushal, B., and Chitra, M. (2016, January 20\u201321). Cluster based routing protocol to prolong network lifetime through mobile sink in WSN. Proceedings of the 2016 IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology (RTEICT), Bangalore, India.","DOI":"10.1109\/RTEICT.2016.7808039"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"140703","DOI":"10.1109\/ACCESS.2019.2939155","article-title":"Region Aware Proactive Routing Approaches Exploiting Energy Efficient Paths for Void Hole Avoidance in Underwater WSNs","volume":"7","author":"Khan","year":"2019","journal-title":"IEEE Access"},{"key":"ref_21","first-page":"23","article-title":"Energy aware routing technique based on Markov model in wireless sensor network","volume":"42","author":"Krishnamoorthy","year":"2020","journal-title":"Int. J. Comput. Appl."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.inffus.2019.10.008","article-title":"Entropy-driven data aggregation method for energy-efficient wireless sensor networks","volume":"56","author":"Zhang","year":"2020","journal-title":"Inf. Fusion"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.comnet.2018.05.029","article-title":"Energy-efficient sink placement in wireless sensor networks","volume":"141","author":"Tsoumanis","year":"2018","journal-title":"Comput. Netw."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1109\/TGCN.2020.3039338","article-title":"Energy and Distance Optimization in Rechargeable Wireless Sensor Networks","volume":"5","author":"Tsoumanis","year":"2020","journal-title":"IEEE Trans. Green Commun. Netw."},{"key":"ref_25","unstructured":"Jain, R.K., Chiu, D.M.W., and Hawe, W.R. (1984). A Quantitative Measure of Fairness and Discrimination, Eastern Research Laboratory, Digital Equipment Corporation."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2185","DOI":"10.1109\/TWC.2006.1687734","article-title":"Distributed algorithms for maximum lifetime routing in wireless sensor networks","volume":"5","author":"Madan","year":"2006","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.comcom.2021.01.011","article-title":"Towards an energy balancing solution for wireless sensor network with mobile sink node","volume":"170","author":"Thomson","year":"2021","journal-title":"Comput. Commun."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.adhoc.2018.03.003","article-title":"A recharging distance analysis for wireless sensor networks","volume":"75","author":"Tsoumanis","year":"2018","journal-title":"Ad Hoc Netw."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.pmcj.2006.11.001","article-title":"Analytical modeling and mitigation techniques for the energy hole problem in sensor networks","volume":"3","author":"Li","year":"2007","journal-title":"Pervasive Mob. Comput."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Varga, A. (2010). OMNeT++. Modeling and Tools for Network Simulation, Springer.","DOI":"10.1007\/978-3-642-12331-3_3"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1109\/SURV.2013.050113.00015","article-title":"Fairness in wireless networks: Issues, measures and challenges","volume":"16","author":"Huaizhou","year":"2013","journal-title":"IEEE Commun. Surv. 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