{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T18:53:48Z","timestamp":1768071228345,"version":"3.49.0"},"reference-count":30,"publisher":"MDPI AG","issue":"15","license":[{"start":{"date-parts":[[2019,7,29]],"date-time":"2019-07-29T00:00:00Z","timestamp":1564358400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Scientific Research Projects of the NSFC","award":["61573257"],"award-info":[{"award-number":["61573257"]}]},{"name":"Hangzhou Municipal Science and Technology Bureau of social development and scientific research projects","award":["20150533B16"],"award-info":[{"award-number":["20150533B16"]}]},{"name":"Scientific  research project of Zhejiang Education Department","award":["Y201432791"],"award-info":[{"award-number":["Y201432791"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In many complex manufacturing environments, the running equipment must be monitored by Wireless Sensor Networks (WSNs), which not only requires WSNs to have long service lifetimes, but also to achieve rapid and high-quality transmission of equipment monitoring data to monitoring centers. Traditional routing algorithms in WSNs, such as Basic Ant-Based Routing (BABR) only require the single shortest path, and the BABR algorithm converges slowly, easily falling into a local optimum and leading to premature stagnation of the algorithm. A new WSN routing algorithm, named the Quantum Ant Colony Multi-Objective Routing (QACMOR) can be used for monitoring in such manufacturing environments by introducing quantum computation and a multi-objective fitness function into the routing research algorithm. Concretely, quantum bits are used to represent the node pheromone, and quantum gates are rotated to update the pheromone of the search path. The factors of energy consumption, transmission delay, and network load-balancing degree of the nodes in the search path act as fitness functions to determine the optimal path. Here, a simulation analysis and actual manufacturing environment verify the QACMOR\u2019s improvement in performance.<\/jats:p>","DOI":"10.3390\/s19153334","type":"journal-article","created":{"date-parts":[[2019,7,29]],"date-time":"2019-07-29T11:20:18Z","timestamp":1564399218000},"page":"3334","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["A Quantum Ant Colony Multi-Objective Routing Algorithm in WSN and Its Application in a Manufacturing Environment"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0347-6771","authenticated-orcid":false,"given":"Fei","family":"Li","sequence":"first","affiliation":[{"name":"Department of Computer Science, Zhejiang University City College, Hangzhou 310015, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8902-5460","authenticated-orcid":false,"given":"Min","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Electronics and Information Engineering, Tongji University, Shanghai 201804, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3752-7749","authenticated-orcid":false,"given":"Gaowei","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Electronics and Information Engineering, Tongji University, Shanghai 201804, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"157453","DOI":"10.1155\/2015\/157453","article-title":"Distributed data mining based on deep neural network for wireless sensor network","volume":"11","author":"Xie","year":"2015","journal-title":"Int. J. Distrib. Sens. Netw."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11276-015-1133-7","article-title":"A review of industrial wireless networks in the context of Industry 4.0","volume":"23","author":"Li","year":"2017","journal-title":"Wirel. Netw."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"8642512","DOI":"10.1155\/2016\/8642512","article-title":"Smart objects, infrastructures, and services in the internet of things","volume":"12","author":"Distefano","year":"2016","journal-title":"Int. J. Distrib. Sens. Netw."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2419","DOI":"10.1109\/TITS.2014.2316006","article-title":"Temporal data dissemination in vehicular cyber physical systems","volume":"15","author":"Liu","year":"2014","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_5","first-page":"2118","article-title":"A survey on swarm intelligence based routing protocols in wireless sensor networks","volume":"5","author":"Zengin","year":"2010","journal-title":"Int. J. Phys. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1109\/TASE.2012.2204980","article-title":"Swarm intelligence approaches to optimal power flow problem with distributed generator failures in power networks","volume":"10","author":"Kang","year":"2013","journal-title":"IEEE Trans. Autom. Sci. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1016\/j.ejor.2015.10.007","article-title":"An effective co-evolutionary artificial bee colony algorithm for steelmaking-continuous casting scheduling","volume":"250","author":"Pan","year":"2016","journal-title":"Eur. J. Oper. Res."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/14488388.2017.1358896","article-title":"Energy-aware bee colony approach to extend lifespan of wireless sensor network","volume":"13","author":"Zaheeruddin","year":"2017","journal-title":"Aust. J. Multi-Discip. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"26303","DOI":"10.1109\/ACCESS.2017.2769663","article-title":"Routing protocols based on ant colony optimization in wireless sensor networks: a survey","volume":"5","author":"Liu","year":"2017","journal-title":"IEEE Access"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1109\/TEVC.2004.823467","article-title":"Quantum-inspired evolutionary algorithms with a new termination criterion, H\/sub \/spl epsi\/\/ gate, and two-phase scheme","volume":"8","author":"Han","year":"2004","journal-title":"IEEE Trans. Evol. Comput."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1109\/TEVC.2010.2098412","article-title":"Preference-based solution selection algorithm for evolutionary multiobjective optimization","volume":"16","author":"Kim","year":"2012","journal-title":"IEEE Trans. Evol. Comput."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1398","DOI":"10.1109\/TPDS.2011.18","article-title":"Dealing with nonuniformity in data centric storage for wireless sensor networks","volume":"22","author":"Albano","year":"2010","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1002\/wcm.956","article-title":"WCDS-DCR: an energy-efficient data-centric routing scheme for wireless sensor networks","volume":"12","author":"Chakchouk","year":"2012","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"750","DOI":"10.1109\/TPDS.2013.43","article-title":"Secure and Efficient data transmission for cluster-based wireless sensor networks","volume":"25","author":"Lu","year":"2014","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1515","DOI":"10.1007\/s11276-014-0691-4","article-title":"IBLEACH: intra-balanced LEACH protocol for wireless sensor networks","volume":"20","author":"Salim","year":"2014","journal-title":"Wirel. Networks"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1109\/TPDS.2009.98","article-title":"Energy-efficient beaconless geographic routing in wireless sensor networks","volume":"21","author":"Zhang","year":"2010","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1587\/elex.8.582","article-title":"Energy-efficient and QoS-aware geographic routing protocol for wireless sensor networks","volume":"8","author":"Ghaffari","year":"2011","journal-title":"IEICE Electron. Express"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1864","DOI":"10.1109\/TPDS.2013.240","article-title":"QoS aware geographic opportunistic routing in wireless sensor networks","volume":"25","author":"Cheng","year":"2014","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.jnca.2011.03.031","article-title":"An agent-assisted QoS-based routing algorithm for wireless sensor networks","volume":"35","author":"Liu","year":"2012","journal-title":"J. Netw. Comput. Appl."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1016\/j.jnca.2012.03.004","article-title":"Classical and swarm intelligence based routing protocols for wireless sensor networks: A survey and comparison","volume":"35","author":"Zungeru","year":"2012","journal-title":"J. Netw. Comput. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.future.2016.08.004","article-title":"Particle swarm optimization based clustering algorithm with mobile sink for WSNs","volume":"76","author":"Wang","year":"2017","journal-title":"Futur. Gener. Comput. Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/j.ins.2012.02.024","article-title":"BeeSensor: An energy-efficient and scalable routing protocol for wireless sensor networks","volume":"200","author":"Saleem","year":"2012","journal-title":"Inf. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Camilo, T., Carreto, C., Silva, J.S., and Boavida, F. (2006). An Energy-Efficient Ant-Based Routing Algorithm for Wireless Sensor Networks, Springer Science and Business Media LLC.","DOI":"10.1007\/11839088_5"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2013\/759654","article-title":"Energy efficiency performance improvements for ant-based routing algorithm in wireless sensor networks","volume":"2013","author":"Zungeru","year":"2013","journal-title":"J. Sensors"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.3837\/tiis.2013.07.004","article-title":"RRSEB: A reliable routing scheme for energy-balancing using a self-adaptive method in wireless sensor networks","volume":"7","author":"Saleh","year":"2013","journal-title":"TIIS"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1016\/j.comcom.2008.12.036","article-title":"An adaptive-evolution-based quantum-inspired evolutionary algorithm for QoS multicasting in IP\/DWDM networks","volume":"32","author":"Xing","year":"2009","journal-title":"Comput. Commun."},{"key":"ref_27","unstructured":"Heinzelman, W.R., Chandrakasan, A., and Balakrishnan, H. (2000, January 7). Energy-efficient communication protocol for wireless microsensor networks. Proceedings of the 33rd annual Hawaii international conference on system sciences, Maui, HI, USA."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/978-3-540-74769-7_31","article-title":"A novel quantum ant colony optimization algorithm","volume":"Volume 4688","author":"Wang","year":"2007","journal-title":"Lecture Notes in Computer Science"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2991","DOI":"10.1016\/j.comnet.2010.05.014","article-title":"Ant-based routing for wireless multimedia sensor networks using multiple qos metrics","volume":"54","author":"Cobo","year":"2007","journal-title":"Comput. Netw."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1355","DOI":"10.1109\/JIOT.2016.2600630","article-title":"An IoT-based online monitoring system for continuous steel casting","volume":"3","author":"Zhang","year":"2016","journal-title":"IEEE Internet Things J."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/15\/3334\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:11:01Z","timestamp":1760188261000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/15\/3334"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,29]]},"references-count":30,"journal-issue":{"issue":"15","published-online":{"date-parts":[[2019,8]]}},"alternative-id":["s19153334"],"URL":"https:\/\/doi.org\/10.3390\/s19153334","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,29]]}}}