{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T11:06:33Z","timestamp":1775041593539,"version":"3.50.1"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2018,10,28]],"date-time":"2018-10-28T00:00:00Z","timestamp":1540684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The mobile ad hoc network (MANET) is a multi-hop, non-central network composed of mobile terminals with self-organizing features. Aiming at the problem of extra energy consumption caused by node motion in MANETs, this paper proposes an improved energy and mobility ant colony optimization (IEMACO) routing algorithm. Firstly, the algorithm accelerates the convergence speed of the routing algorithm and reduces the number of route discovery packets by introducing an offset coefficient of the transition probability. Then, based on the energy consumption rate, the remaining lifetime of nodes (RLTn) is considered. The position and velocity information predicts the remaining lifetime of the link (RLTl). The algorithm combines RLTn and RLTl to design the pheromone generation method, which selects the better quality path according to the transition probability to ensure continuous data transmission. As a result, the energy consumption in the network is balanced. The simulation results show that compared to the Ad Hoc on-demand multipath distance vector (AOMDV) algorithm with multipath routing and the Ant Hoc Max-Min-Path (AntHocMMP) algorithm in consideration of node energy consumption and mobility, the IEMACO algorithm can reduce the frequency of route discovery and has lower end-to-end delay as well as packet loss rate especially when nodes move, and can extend the network lifetime.<\/jats:p>","DOI":"10.3390\/s18113657","type":"journal-article","created":{"date-parts":[[2018,10,29]],"date-time":"2018-10-29T11:10:41Z","timestamp":1540811441000},"page":"3657","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Energy-Balanced Routing Algorithm Based on Ant Colony Optimization for Mobile Ad Hoc Networks"],"prefix":"10.3390","volume":"18","author":[{"given":"Dong","family":"Yang","sequence":"first","affiliation":[{"name":"State Key Laboratory of Integrated Service Network, Xidian University, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3695-5787","authenticated-orcid":false,"given":"Hongxing","family":"Xia","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Service Network, Xidian University, Xi\u2019an 710071, China"},{"name":"Nantong Normal College, Nantong 226010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Erfei","family":"Xu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Service Network, Xidian University, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dongliang","family":"Jing","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Service Network, Xidian University, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hailin","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Service Network, Xidian University, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Hyland, M., Mullins, B.E., Baldwin, R.O., and Temple, M.A. (2007, January 21\u201323). Simulation-based performance evaluation of mobile ad hoc routing protocols in a swarm of unmanned aerial vehicles. Proceedings of the 21st International Conference on Advanced Information Networking and Applications Workshops (AINAW\u201907), Niagara Falls, ON, Canada.","DOI":"10.1109\/AINAW.2007.336"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"24139","DOI":"10.1109\/ACCESS.2017.2762472","article-title":"A Survey of Ant Colony Optimization Based Routing Protocols for Mobile Ad Hoc Networks","volume":"5","author":"Zhang","year":"2017","journal-title":"IEEE Access"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1448","DOI":"10.1109\/SURV.2013.012414.00164","article-title":"Energy-efficient neighbor discovery in mobile ad hoc and wireless sensor networks: A survey","volume":"16","author":"Sun","year":"2014","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Polastre, J., Szewczyk, R., Mainwaring, A., Culler, D., and Anderson, J. (2004). Analysis of wireless sensor networks for habitat monitoring. Wireless Sensor Networks, Springer.","DOI":"10.1145\/990680.990704"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1109\/MNET.2013.6616114","article-title":"CitySee: Not only a wireless sensor network","volume":"27","author":"Liu","year":"2013","journal-title":"IEEE Netw."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Yang, Z., Li, M., and Liu, Y. (2007, January 3\u20136). Sea depth measurement with restricted floating sensors. Proceedings of the 28th IEEE International Real-Time Systems Symposium (RTSS 2007), Tucson, AZ, USA.","DOI":"10.1109\/RTSS.2007.37"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Huang, J.H., Amjad, S., and Mishra, S. (2005, January 2\u20134). Cenwits: A sensor-based loosely coupled search and rescue system using witnesses. Proceedings of the 3rd International Conference on Embedded Networked Sensor Systems, San Diego, CA, USA.","DOI":"10.1145\/1098918.1098938"},{"key":"ref_8","first-page":"1","article-title":"RF Doppler Shift-based Mobile Sensor Tracking and Navigation","volume":"7","author":"Amundson","year":"2010","journal-title":"ACM Trans. Sen. Netw."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Miluzzo, E., Lane, N.D., Fodor, K., Peterson, R., Lu, H., Musolesi, M., Eisenman, S.B., Zheng, X., and Campbell, A.T. (2008, January 4\u20137). Sensing meets mobile social networks: The design, implementation and evaluation of the cenceme application. Proceedings of the 6th ACM Conference on Embedded Network Sensor Systems, Raleigh, NC, USA.","DOI":"10.1145\/1460412.1460445"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/S1389-1286(03)00284-6","article-title":"Power-saving protocols for IEEE 802.11-based multi-hop ad hoc networks","volume":"43","author":"Tseng","year":"2003","journal-title":"Comput. Netw."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1145\/581291.581300","article-title":"An on-demand minimum energy routing protocol for a wireless ad hoc network","volume":"6","author":"Doshi","year":"2002","journal-title":"ACM SIGMOBILE Mob. Comput. Commun. Rev."},{"key":"ref_12","unstructured":"Misra, A., and Banerjee, S. (2002, January 17\u201321). MRPC: Maximizing network lifetime for reliable routing in wireless environments. Proceedings of the 2002 IEEE Wireless Communications and Networking Conference (WCNC2002), Orlando, FL, USA."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1016\/j.comnet.2009.10.024","article-title":"A survey on bio-inspired networking","volume":"54","author":"Dressler","year":"2010","journal-title":"Comput. Netw."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Bandgar, A.R., and Thorat, S.A. (2013, January 4\u20136). An improved location-aware ant colony optimization based routing algorithm for MANETs. Proceedings of the 2013 Fourth International Conference on Computing, Communications and Networking Technologies (ICCCNT), Tiruchengode, India.","DOI":"10.1109\/ICCCNT.2013.6726581"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1789","DOI":"10.1177\/1045389X15577649","article-title":"Nonparametric modeling of magnetorheological elastomer base isolator based on artificial neural network optimized by ant colony algorithm","volume":"26","author":"Yu","year":"2015","journal-title":"J. Intell. Mater. Syst. Struct."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1613\/jair.530","article-title":"AntNet: Distributed stigmergetic control for communications networks","volume":"9","author":"Dorigo","year":"1998","journal-title":"J. Artif. Intell. Res."},{"key":"ref_17","unstructured":"Baras, J.S., and Mehta, H. (2003, January 3\u20135). A Probabilistic Emergent Routing Algorithm for Mobile Ad Hoc Networks. Proceedings of the Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt\u201903), Antipolis, France."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Osagie, E., Thulasiraman, P., and Thulasiram, R.K. (2008, January 25\u201328). PACONET: ImProved ant colony optimization routing algorithm for mobile ad hoc networks. Proceedings of the 22nd International Conference on Advanced Information Networking and Applications (AINA 2008), Okinawa, Japan.","DOI":"10.1109\/AINA.2008.77"},{"key":"ref_19","unstructured":"Bullnheimer, B., Hartl, R., and Strauss, C. (1999). A New Rank Based Version of the Ant System\u2014A Computational Study, Vienna University of Economics and Business."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Woungang, I., Dhurandher, S.K., Obaidat, M.S., Ferworn, A., and Shah, W. (2013, January 9\u201313). An ant-swarm inspired energy-efficient ad hoc on-demand routing protocol for mobile ad hoc networks. Proceedings of the 2013 IEEE International Conference on Communications (ICC), udapest, Hungary.","DOI":"10.1109\/ICC.2013.6655119"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"de Figueiredo Marques, V., Kniess, J., and Parpinelli, R.S. (2018, January 18\u201320). An Energy Efficient Mesh LNN Routing Protocol Based on Ant Colony optimization. Proceedings of the 2018 IEEE 16th International Conference on Industrial Informatics (INDIN), Porto, Portugal.","DOI":"10.1109\/INDIN.2018.8471965"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2188","DOI":"10.1016\/j.jss.2010.06.025","article-title":"An ant swarm-inspired energy-aware routing protocol for wireless ad-hoc networks","volume":"83","author":"Misra","year":"2010","journal-title":"J. Syst. Softw."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Zhou, J., Wang, X., Tan, H., and Deng, Y. (2015, January 10\u201312). Ant Colony-Based Energy Control Routing Protocol for Mobile Ad Hoc Networks. Proceedings of the International Conference on Wireless Algorithms, Systems, and Applications, Qufu, China.","DOI":"10.1007\/978-3-319-21837-3_83"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Prabaharan, S.B., and Ponnusamy, R. (2016, January 7\u20139). Secure and energy efficient MANET routing incorporating trust values using hybrid ACO. Proceedings of the 2016 International Conference on Computer Communication and Informatics (ICCCI), Coimbatore, India.","DOI":"10.1109\/ICCCI.2016.7479933"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Nath, S., Banik, S., Seal, A., and Sarkar, S.K. (2016, January 23\u201325). Optimizing MANET routing in AODV: An hybridization approach of ACO and firefly algorithm. Proceedings of the 2016 Second International Conference on Research in Computational Intelligence and Communication Networks (ICRCICN), Kolkata, India.","DOI":"10.1109\/ICRCICN.2016.7813643"},{"key":"ref_26","unstructured":"Qu, W., and Wang, X. (August, January 27). An Energy-Saving Routing Strategy Based on Ant Colony Optimization in Wireless Sensor Networks. Proceedings of the International Conference in Swarm Intelligence, Fukuoka, Japan."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Gaillard, G., Barthel, D., Theoleyre, F., and Valois, F. (2016, January 4\u20136). Kausa: KPI-aware Scheduling Algorithm for Multi-flow in Multi-hop IoT Networks. Proceedings of the International Conference on Ad-Hoc Networks and Wireless, Lille, France.","DOI":"10.1007\/978-3-319-40509-4_4"},{"key":"ref_28","unstructured":"Dorigo, M. (1992). Optimization, Learning and Natural Algorithms. [Ph.D. Thesis, Politecnico di Milano]."},{"key":"ref_29","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_30","doi-asserted-by":"crossref","first-page":"2081","DOI":"10.1007\/s11276-015-1082-1","article-title":"A robust energy efficient ant colony optimization routing algorithm for multi-hop ad hoc networks in MANETs","volume":"22","author":"Vijayalakshmi","year":"2016","journal-title":"Wirel. Netw."},{"key":"ref_31","unstructured":"Kim, D., Garcia-Luna-Aceves, J., Obraczka, K., Cano, J.C., and Manzoni, P. (2002, January 16). Power-aware routing based on the energy drain rate for mobile ad hoc networks. Proceedings of the 2002 Eleventh International Conference on Computer Communications and Networks, Miami, FL, USA."},{"key":"ref_32","unstructured":"Haibin, D. (2005). Ant Colony Algorithm: Theory and Applications, Science Press. (In Chinese)."},{"key":"ref_33","unstructured":"Stutzle, T., and Hoos, H. (1997, January 13\u201316). MAX-MIN ant system and local search for the traveling salesman problem. Proceedings of the IEEE International Conference on Evolutionary Computation, Indianapolis, IN, USA."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/11\/3657\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:26:39Z","timestamp":1760196399000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/11\/3657"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,28]]},"references-count":33,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2018,11]]}},"alternative-id":["s18113657"],"URL":"https:\/\/doi.org\/10.3390\/s18113657","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,28]]}}}