{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T06:46:24Z","timestamp":1775198784735,"version":"3.50.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2023,7,9]],"date-time":"2023-07-09T00:00:00Z","timestamp":1688860800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,7,9]],"date-time":"2023-07-09T00:00:00Z","timestamp":1688860800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2023,11]]},"DOI":"10.1007\/s00607-023-01195-5","type":"journal-article","created":{"date-parts":[[2023,7,9]],"date-time":"2023-07-09T16:01:28Z","timestamp":1688918488000},"page":"2563-2593","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["An energy efficient periodic data gathering and charging schedule using MVs in wireless rechargeable sensor networks"],"prefix":"10.1007","volume":"105","author":[{"given":"Chandra Bhushan Kumar","family":"Yadav","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2509-7999","authenticated-orcid":false,"given":"Dinesh","family":"Dash","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,7,9]]},"reference":[{"key":"1195_CR1","doi-asserted-by":"publisher","first-page":"528","DOI":"10.1016\/j.asoc.2018.05.008","volume":"69","author":"P Kumar","year":"2018","unstructured":"Kumar P, Amgoth T, Annavarapu CS (2018) ACO-based mobile sink path determination for wireless sensor networks under non-uniform data constraints. Appl Soft Comput 69:528\u2013540","journal-title":"Appl Soft Comput"},{"issue":"7","key":"1195_CR2","first-page":"1","volume":"23","author":"D Dash","year":"2021","unstructured":"Dash D (2021) Geometric algorithm for finding time-sensitive data gathering path in energy harvesting sensor networks. IEEE Trans Intell Transp Syst 23(7):1\u201310","journal-title":"IEEE Trans Intell Transp Syst"},{"issue":"12","key":"1195_CR3","doi-asserted-by":"publisher","first-page":"2660","DOI":"10.3390\/s19122660","volume":"19","author":"R La Rosa","year":"2019","unstructured":"La Rosa R, Livreri P, Trigona C, Di Donato L, Sorbello G (2019) Strategies and techniques for powering wireless sensor nodes through energy harvesting and wireless power transfer. Sensors 19(12):2660","journal-title":"Sensors"},{"key":"1195_CR4","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1016\/j.asoc.2018.11.022","volume":"75","author":"Z Lyu","year":"2019","unstructured":"Lyu Z, Wei Z, Pan J, Chen H, Xia C, Han J, Shi L (2019) Periodic charging planning for a mobile WCE in wireless rechargeable sensor networks based on hybrid PSO and GA algorithm. Appl Soft Comput 75:388\u2013403","journal-title":"Appl Soft Comput"},{"issue":"9","key":"1195_CR5","doi-asserted-by":"publisher","first-page":"2715","DOI":"10.1109\/TMC.2020.2990419","volume":"20","author":"A Tomar","year":"2020","unstructured":"Tomar A, Muduli L, Jana PK (2020) A fuzzy logic-based on-demand charging algorithm for wireless rechargeable sensor networks with multiple chargers. IEEE Trans Mob Comput 20(9):2715\u20132727","journal-title":"IEEE Trans Mob Comput"},{"issue":"7","key":"1195_CR6","doi-asserted-by":"publisher","first-page":"8041","DOI":"10.1007\/s12652-020-02539-1","volume":"12","author":"N Kumar","year":"2021","unstructured":"Kumar N, Dash D, Kumar M (2021) An efficient on-demand charging schedule method in rechargeable sensor networks. J Ambient Intell Hum Comput 12(7):8041\u20138058","journal-title":"J Ambient Intell Hum Comput"},{"key":"1195_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnca.2020.102565","volume":"156","author":"Z Wei","year":"2020","unstructured":"Wei Z, Xia C, Yuan X, Sun R, Lyu Z, Shi L, Ji J (2020) The path planning scheme for joint charging and data collection in WRSNs: a multi-objective optimization method. J Netw Comput Appl 156:102565","journal-title":"J Netw Comput Appl"},{"issue":"3","key":"1195_CR8","doi-asserted-by":"publisher","first-page":"3518","DOI":"10.1109\/JSYST.2020.2977984","volume":"14","author":"Z Lyu","year":"2020","unstructured":"Lyu Z, Wei Z, Wang X, Fan Y, Xia C, Shi L (2020) A periodic multinode charging and data collection scheme with optimal traveling path in WRSNs. IEEE Syst J 14(3):3518\u20133529","journal-title":"IEEE Syst J"},{"issue":"3","key":"1195_CR9","doi-asserted-by":"publisher","first-page":"1610","DOI":"10.1109\/TGCN.2021.3080918","volume":"5","author":"A Boukerche","year":"2021","unstructured":"Boukerche A, Wu Q, Sun P (2021) A novel joint optimization method based on mobile data collection for wireless rechargeable sensor networks. IEEE Trans Green Commun Netw 5(3):1610\u20131622","journal-title":"IEEE Trans Green Commun Netw"},{"issue":"7","key":"1195_CR10","doi-asserted-by":"publisher","first-page":"7411","DOI":"10.1109\/JSEN.2022.3155658","volume":"22","author":"W Jiao","year":"2022","unstructured":"Jiao W, Tian M, Xu Y (2022) A combining strategy of energy replenishment and data collection in wireless sensor networks. IEEE Sens J 22(7):7411\u20137426","journal-title":"IEEE Sens J"},{"key":"1195_CR11","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/5004507","author":"M Zhang","year":"2022","unstructured":"Zhang M, Cai W (2022) Data collecting and energy charging oriented mobile path design for rechargeable wireless sensor networks. J Sens. https:\/\/doi.org\/10.1155\/2022\/5004507","journal-title":"J Sens"},{"issue":"9","key":"1195_CR12","doi-asserted-by":"publisher","first-page":"6361","DOI":"10.1109\/TCOMM.2021.3089476","volume":"69","author":"Y Yu","year":"2021","unstructured":"Yu Y, Tang J, Huang J, Zhang X, So DK, Wong KK (2021) Multi-objective optimization for UAV-assisted wireless powered IoT networks based on extended DDPG algorithm. IEEE Trans Commun 69(9):6361\u20136374","journal-title":"IEEE Trans Commun"},{"issue":"2","key":"1195_CR13","doi-asserted-by":"publisher","first-page":"1413","DOI":"10.1109\/COMST.2015.2499783","volume":"18","author":"X Lu","year":"2015","unstructured":"Lu X, Wang P, Niyato D, Kim DI, Han Z (2015) Wireless charging technologies: fundamentals, standards, and network applications. IEEE Commun Surv Tutor 18(2):1413\u20131452","journal-title":"IEEE Commun Surv Tutor"},{"issue":"12","key":"1195_CR14","doi-asserted-by":"publisher","first-page":"12124","DOI":"10.1109\/TVT.2018.2872890","volume":"67","author":"C Lin","year":"2018","unstructured":"Lin C, Wei S, Deng J, Obaidat MS, Song H, Wang L, Wu G (2018) Gtccs: a game theoretical collaborative charging scheduling for on-demand charging architecture. IEEE Trans Vehic Technol 67(12):12124\u201312136","journal-title":"IEEE Trans Vehic Technol"},{"issue":"3","key":"1195_CR15","doi-asserted-by":"publisher","first-page":"2186","DOI":"10.1109\/JSYST.2016.2628043","volume":"12","author":"NT Nguyen","year":"2018","unstructured":"Nguyen NT, Liu BH, Pham VT, Huang CY (2018) Network under limited mobile devices: a new technique for mobile charging scheduling with multiple sinks. IEEE Syst J 12(3):2186\u20132196","journal-title":"IEEE Syst J"},{"key":"1195_CR16","doi-asserted-by":"publisher","first-page":"15380","DOI":"10.1109\/ACCESS.2017.2727041","volume":"5","author":"G Han","year":"2017","unstructured":"Han G, Li Z, Jiang J, Shu L, Zhang W (2017) MCRA: a multi-charger cooperation recharging algorithm based on area division for WSNs. IEEE Access 5:15380\u201315389","journal-title":"IEEE Access"},{"key":"1195_CR17","doi-asserted-by":"crossref","unstructured":"Xu W, Liang W, Lin X, Mao G, Ren X (2014) Towards perpetual sensor networks via deploying multiple mobile wireless chargers. In: 43rd International conference on parallel processing, Minneapolis, MN, USA. IEEE, pp 80\u201389","DOI":"10.1109\/ICPP.2014.17"},{"key":"1195_CR18","unstructured":"Liang W, Xu W, Ren X, Jia X, Lin X (2014) Maintaining sensor networks perpetually via wireless recharging mobile vehicles. In: 39th Annual IEEE conference on local computer networks, Edmonton, Canada. IEEE, pp 270\u2013278"},{"key":"1195_CR19","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.comcom.2014.03.001","volume":"46","author":"H Dai","year":"2014","unstructured":"Dai H, Wu X, Chen G, Xu L, Lin S (2014) Minimizing the number of mobile chargers for large-scale wireless rechargeable sensor networks. Comput Commun 46:54\u201365","journal-title":"Comput Commun"},{"key":"1195_CR20","unstructured":"Hu C, Wang Y (2015) Minimizing the number of mobile chargers in a large-scale wireless rechargeable sensor network. IEEE wireless communications and networking conference, New Orleans, LA, USA. IEEE, pp 1297\u20131302"},{"key":"1195_CR21","doi-asserted-by":"publisher","first-page":"156217","DOI":"10.1109\/ACCESS.2019.2949284","volume":"7","author":"Z Wei","year":"2019","unstructured":"Wei Z, Li M, Zhao Q, Lyu Z, Zhu S, Wei Z (2019) Multi-mc charging schedule algorithm with time windows in wireless rechargeable sensor networks. IEEE Access 7:156217\u2013156227","journal-title":"IEEE Access"},{"issue":"8","key":"1195_CR22","doi-asserted-by":"publisher","first-page":"2411","DOI":"10.1109\/TC.2015.2490060","volume":"65","author":"C Wang","year":"2016","unstructured":"Wang C, Li J, Ye F, Yang Y (2016) A mobile data gathering framework for wireless rechargeable sensor networks with vehicle movement costs and capacity constraints. IEEE Trans Comput 65(8):2411\u20132427","journal-title":"IEEE Trans Comput"},{"key":"1195_CR23","doi-asserted-by":"crossref","unstructured":"Zhong P, Li YT, Liu WR, Duan GH, Chen YW, Xiong N (2017) Joint mobile data collection and wireless energy transfer in wireless rechargeable sensor networks. Sensors 17(8):1881","DOI":"10.3390\/s17081881"},{"issue":"3","key":"1195_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3460435","volume":"18","author":"DK Sah","year":"2022","unstructured":"Sah DK, Nguyen TN, Kandulna M, Cengiz K, Amgoth T (2022) 3D localization and error minimization in underwater sensor networks. ACM Trans Sens Netw (TOSN) 18(3):1\u201325","journal-title":"ACM Trans Sens Netw (TOSN)"},{"key":"1195_CR25","doi-asserted-by":"crossref","unstructured":"Guo S, Wang C, Yang Y (2013) Mobile data gathering with wireless energy replenishment in rechargeable sensor networks. 2013 Proceedings IEEE INFOCOM, Turin, Italy. IEEE, pp 1932\u20131940","DOI":"10.1109\/INFCOM.2013.6566993"},{"issue":"12","key":"1195_CR26","doi-asserted-by":"publisher","first-page":"2689","DOI":"10.1109\/TMC.2014.2307335","volume":"13","author":"M Zhao","year":"2014","unstructured":"Zhao M, Li J, Yang Y (2014) A framework of joint mobile energy replenishment and data gathering in wireless rechargeable sensor networks. IEEE Trans Mob Comput 13(12):2689\u20132705","journal-title":"IEEE Trans Mob Comput"},{"issue":"2","key":"1195_CR27","doi-asserted-by":"publisher","first-page":"1327","DOI":"10.1109\/JIOT.2019.2954530","volume":"7","author":"J Baek","year":"2020","unstructured":"Baek J, Han SI, Han Y (2020) Optimal UAV route in wireless charging sensor networks. IEEE Internet Things J 7(2):1327\u20131335","journal-title":"IEEE Internet Things J"},{"issue":"2","key":"1195_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2898357","volume":"12","author":"W Liang","year":"2016","unstructured":"Liang W, Xu W, Ren X, Jia X, Lin X (2016) Maintaining large-scale rechargeable sensor networks perpetually via multiple mobile charging vehicles. ACM Trans Sens Netw (TOSN) 12(2):1\u201326","journal-title":"ACM Trans Sens Netw (TOSN)"},{"issue":"5","key":"1195_CR29","doi-asserted-by":"publisher","first-page":"8202","DOI":"10.1109\/JIOT.2019.2918837","volume":"6","author":"L Mo","year":"2019","unstructured":"Mo L, Kritikakou A, He S (2019) Energy-aware multiple mobile chargers coordination for wireless rechargeable sensor networks. IEEE Internet Things J 6(5):8202\u20138214","journal-title":"IEEE Internet Things J"},{"key":"1195_CR30","doi-asserted-by":"crossref","unstructured":"Xu W, Liang W, Kan H, Xu Y, Zhang X (2019) Minimizing the longest charge delay of multiple mobile chargers for wireless rechargeable sensor networks by charging multiple sensors simultaneously. In: 2019 IEEE 39th international conference on distributed computing systems (ICDCS). IEEE, pp 881\u2013890","DOI":"10.1109\/ICDCS.2019.00092"},{"issue":"4","key":"1195_CR31","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1109\/TSUSC.2020.3003014","volume":"6","author":"W Ouyang","year":"2020","unstructured":"Ouyang W, Liu X, Obaidat MS, Lin C, Zhou H, Liu T, Hsiao KF (2020) Utility-aware charging scheduling for multiple mobile chargers in large-scale wireless rechargeable sensor networks. IEEE Trans Sustain Comput 6(4):679\u2013690","journal-title":"IEEE Trans Sustain Comput"},{"issue":"2","key":"1195_CR32","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1109\/TNET.2014.2303979","volume":"23","author":"L Xie","year":"2014","unstructured":"Xie L, Shi Y, Hou YT, Lou W, Sherali HD, Midkiff SF (2014) Multi-node wireless energy charging in sensor networks. ACM Trans Netw 23(2):437\u2013450","journal-title":"ACM Trans Netw"},{"key":"1195_CR33","doi-asserted-by":"crossref","unstructured":"Umargono E, Suseno JE, Gunawan SV (2020) K-means clustering optimization using the elbow method and early centroid determination based on mean and median formula. In: The 2nd international seminar on science and technology. Atlantis Press, pp 121\u2013129","DOI":"10.2991\/assehr.k.201010.019"},{"issue":"3","key":"1195_CR34","first-page":"1","volume":"2","author":"A Kumar","year":"2013","unstructured":"Kumar A (2013) Encoding schemes in genetic algorithm. Int J Adv Res IT Eng 2(3):1\u20137","journal-title":"Int J Adv Res IT Eng"},{"key":"1195_CR35","unstructured":"Oliver IM, Smith D, Holland JR (1987) Study of permutation crossover operators on the traveling salesman problem. In: Genetic algorithms and their applications: proceedings of the 2nd international conference on genetic algorithms. MIT, Cambridge, L. Erlhaum Associates, Hillsdale, pp 224\u2013230"},{"issue":"9","key":"1195_CR36","doi-asserted-by":"publisher","first-page":"1861","DOI":"10.1109\/TMC.2014.2368557","volume":"14","author":"L He","year":"2014","unstructured":"He L, Kong L, Gu Y, Pan J, Zhu T (2014) Evaluating the on-demand mobile charging in wireless sensor networks. IEEE Trans Mob Comput 14(9):1861\u20131875","journal-title":"IEEE Trans Mob Comput"},{"key":"1195_CR37","doi-asserted-by":"publisher","DOI":"10.1016\/j.pmcj.2019.101074","volume":"59","author":"A Tomar","year":"2019","unstructured":"Tomar A, Muduli L, Jana PK (2019) An efficient scheduling scheme for on-demand mobile charging in wireless rechargeable sensor networks. Pervas Mob Comput 59:101074","journal-title":"Pervas Mob Comput"},{"issue":"3","key":"1195_CR38","doi-asserted-by":"publisher","first-page":"326","DOI":"10.4218\/etrij.2018-0126","volume":"41","author":"Y Dong","year":"2019","unstructured":"Dong Y, Wang Y, Li S, Cui M, Wu H (2019) Demand-based charging strategy for wireless rechargeable sensor networks. ETRI J 41(3):326\u2013336","journal-title":"ETRI J"},{"issue":"2","key":"1195_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2898357","volume":"12","author":"W Liang","year":"2016","unstructured":"Liang W, Xu W, Ren X, Jia X, Lin X (2016) Maintaining large-scale rechargeable sensor networks perpetually via multiple mobile charging vehicles. ACM Trans Sens Netw 12(2):1\u201326","journal-title":"ACM Trans Sens Netw"},{"key":"1195_CR40","first-page":"256","volume":"1","author":"E Ostertagova","year":"2013","unstructured":"Ostertagova E, Ostertag O (2013) Methodology and application of one-way ANOVA. Am J Mech Eng 1:256\u2013261","journal-title":"Am J Mech Eng"},{"key":"1195_CR41","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.comcom.2021.08.017","volume":"180","author":"DK Sah","year":"2021","unstructured":"Sah DK, Cengiz K, Donta PK, Inukollu VN, Amgoth T (2021) EDGF: empirical dataset generation framework for wireless sensor networks. Comput Commun 180:48\u201356","journal-title":"Comput Commun"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-023-01195-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00607-023-01195-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-023-01195-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,28]],"date-time":"2023-09-28T17:04:07Z","timestamp":1695920647000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00607-023-01195-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,9]]},"references-count":41,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["1195"],"URL":"https:\/\/doi.org\/10.1007\/s00607-023-01195-5","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,9]]},"assertion":[{"value":"28 February 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 June 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 July 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}