{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:48:19Z","timestamp":1761648499445,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2017,11,21]],"date-time":"2017-11-21T00:00:00Z","timestamp":1511222400000},"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>Due to the rapid development of wireless charging technology, the recharging issue in wireless rechargeable sensor network (WRSN) has been a popular research problem in the past few years. The weakness of previous work is that charging route planning is not reasonable. In this work, a dynamic optimal scheduling scheme aiming to maximize the vacation time ratio of a single mobile changer for WRSN is proposed. In the proposed scheme, the wireless sensor network is divided into several sub-networks according to the initial topology of deployed sensor networks. After comprehensive analysis of energy states, working state and constraints for different sensor nodes in WRSN, we transform the optimized charging path problem of the whole network into the local optimization problem of the sub networks. The optimized charging path with respect to dynamic network topology in each sub-network is obtained by solving an optimization problem, and the lifetime of the deployed wireless sensor network can be prolonged. Simulation results show that the proposed scheme has good and reliable performance for a small wireless rechargeable sensor network.<\/jats:p>","DOI":"10.3390\/sym9110285","type":"journal-article","created":{"date-parts":[[2017,11,21]],"date-time":"2017-11-21T11:23:20Z","timestamp":1511263400000},"page":"285","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Optimized Charging Scheduling with Single Mobile Charger for Wireless Rechargeable Sensor Networks"],"prefix":"10.3390","volume":"9","author":[{"given":"Qihua","family":"Wang","sequence":"first","affiliation":[{"name":"School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China"}]},{"given":"Fanzhi","family":"Kong","sequence":"additional","affiliation":[{"name":"School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China"}]},{"given":"Meng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China"}]},{"given":"Huaqun","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Computer, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"}]}],"member":"1968","published-online":{"date-parts":[[2017,11,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1686","DOI":"10.1016\/j.jcss.2011.10.017","article-title":"Energy efficient ant colony algorithms for data aggregation in wireless sensor networks","volume":"78","author":"Lin","year":"2012","journal-title":"J. Comput. Syst. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Gonz\u00e1lez-Potes, A., Mata-L\u00f3pez, W.A., Ochoa-Brust, A.M., and Escobar-del Pozo, C. (2016). Smart Control of Multiple Evaporator Systems with Wireless Sensor and Actuator Networks. Energies, 9.","DOI":"10.3390\/en9030142"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1109\/TNET.2011.2175746","article-title":"Design of wireless sensor networks for mobile target detection","volume":"20","author":"Amaldi","year":"2012","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1007\/s11276-012-0438-z","article-title":"Cluster based wireless sensor network routing using artificial bee colony algorithm","volume":"18","author":"Dervis","year":"2012","journal-title":"Wirel. Netw."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/MIC.2006.26","article-title":"Deploying a wireless sensor network on an active volcano","volume":"10","author":"Geoffrey","year":"2006","journal-title":"IEEE Internet Comput."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1126\/science.1143254","article-title":"Wireless power transfer via strongly coupled magnetic resonances","volume":"317","author":"Kurs","year":"2007","journal-title":"Science"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1748","DOI":"10.1109\/TNET.2012.2185831","article-title":"Making sensor networks immortal: An energy-renewal approach with wireless power transfer","volume":"20","author":"Xie","year":"2012","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_8","unstructured":"Wang, C., Yang, Y., and Li, J. (2013, January 7\u201310). Stochastic mobile energy replenishment and adaptive sensor activation for perpetual wireless rechargeable sensor networks. Proceedings of the IEEE Wireless Communications and Networking Conference (WCNC), Shanghai, China."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2836","DOI":"10.1109\/TMC.2014.2307332","article-title":"Joint mobile data gathering and energy provisioning in wireless rechargeable sensor networks","volume":"12","author":"Guo","year":"2014","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"e3050","DOI":"10.1002\/dac.3050","article-title":"Novel methods for energy charging and data collection in wireless rechargeable sensor networks","volume":"30","author":"Liu","year":"2015","journal-title":"Int. J. Commun. Syst."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Wang, C., Li, J., Ye, F., and Yang, Y. (2013, January 20\u201324). Multi-vehicle coordination for wireless energy replenishment in sensor networks. Proceedings of the 2013 IEEE 27th International Symposium on I Parallel & Distributed Processing (IPDPS), Boston, MA, USA.","DOI":"10.1109\/IPDPS.2013.22"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"He, L., Fu, L., Zheng, L., Gu, Y., Cheng, P., Chen, J., and Pan, J. (2014, January 11\u201314). ESync: An energy synchronized charging protocol for rechargeable wireless sensor networks. Proceedings of the 15th ACM International Symposium on Mobile Ad Hoc Networking and Computing, Philadelphia, PA, USA.","DOI":"10.1145\/2632951.2632970"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Guo, S.T., Wang, C., and Yang, Y.Y. (2013, January 14\u201319). Mobile data gathering with wireless energy replenishment in rechargeable sensor networks. Proceedings of the IEEE Conference on Computer Communications (INFOCOM), Turin, Italy.","DOI":"10.1109\/INFCOM.2013.6566993"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Li, J., Zhao, M., and Yang, Y. (2012, January 3\u20137). OWER-MDG: A novel energy replenishment and data gathering mechanism in wireless rechargeable sensor networks. Proceedings of the IEEE Global Communications Conference (GLOBECOM), Anaheim, CA, USA.","DOI":"10.1109\/GLOCOM.2012.6503971"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2689","DOI":"10.1109\/TMC.2014.2307335","article-title":"A framework of joint mobile energy replenishment and data gathering in wireless rechargeable sensor networks","volume":"12","author":"Zhao","year":"2014","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.comnet.2014.04.022","article-title":"Wireless energy transfer in sensor networks with adaptive limited knowledge protocols","volume":"70","author":"Angelopoulos","year":"2014","journal-title":"Comput. Netw."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/j.jss.2015.12.017","article-title":"Clustering and splitting charging algorithms for large scaled wireless rechargeable sensor networks","volume":"113","author":"Lin","year":"2016","journal-title":"J. Syst. Softw."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.comnet.2015.01.018","article-title":"Distributed wireless power transfer in sensor networks with multiple mobile chargers","volume":"80","author":"Madhja","year":"2015","journal-title":"Comput. Netw."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.comcom.2014.03.001","article-title":"Minimizing the number of mobile chargers for large-scale wireless recharge able sensor networks","volume":"46","author":"Dai","year":"2014","journal-title":"Comput. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.comnet.2016.01.007","article-title":"Hierarchical, collaborative wireless energy transfer in sensor networks with multiple Mobile Chargers","volume":"97","author":"Madhja","year":"2016","journal-title":"Comput. Netw."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3072","DOI":"10.1109\/TWC.2013.050313.121691","article-title":"Optimal scheduling for quality of monitoring in wireless rechargeable sensor networks","volume":"12","author":"Cheng","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"660","DOI":"10.1109\/TWC.2002.804190","article-title":"Application-specific protocol architecture for wireless micro sensor networks","volume":"4","author":"Heinzelman","year":"2002","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1145\/367766.368168","article-title":"Algorithm 97: Shortest path","volume":"6","author":"Floyd","year":"1962","journal-title":"Commun. ACM"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/11\/285\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:50:39Z","timestamp":1760208639000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/11\/285"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,21]]},"references-count":23,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2017,11]]}},"alternative-id":["sym9110285"],"URL":"https:\/\/doi.org\/10.3390\/sym9110285","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2017,11,21]]}}}