{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:53:36Z","timestamp":1763643216303,"version":"build-2065373602"},"reference-count":48,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2021,7,3]],"date-time":"2021-07-03T00:00:00Z","timestamp":1625270400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Power consumption in wireless sensor networks is high, and the lifetime of a battery has become a bottleneck, restricting network performance. Wireless power transfer with a ground mobile charger is vulnerable to interference from the terrain and other factors, and hence it is difficult to deploy in practice. Accordingly, a novel paradigm is adopted where a multi-UAV (unmanned aerial vehicle) with batteries can transfer power and information to SDs (sensor devices) in a large-scale sensor network. However, there are discrete events, continuous process, time delay, and decisions in such a complicated system. From the perspective of a hybrid system, a hybrid colored cyber Petri net system is proposed here to depict and analyze this problem. Furthermore, the energy utilization rate and information collection time delay are conflict with each other; therefore, UAV-aided wireless power and information transfer is formulated as a multi-objective optimization problem. For this reason, the MAC-NSGA II (multiple ant colony-nondominated sorting genetic algorithm II) is proposed in this work. Firstly, the optimal trajectory of multiple UAVs was obtained, and on this basis, the above two objectives were optimized simultaneously. Large-scale simulation results show that the proposed algorithm is superior to NSGA II and MOEA\/D in terms of energy efficiency and information collection delay.<\/jats:p>","DOI":"10.3390\/rs13132611","type":"journal-article","created":{"date-parts":[[2021,7,4]],"date-time":"2021-07-04T22:35:22Z","timestamp":1625438122000},"page":"2611","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Petri-Net Based Multi-Objective Optimization in Multi-UAV Aided Large-Scale Wireless Power and Information Transfer Networks"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5238-2026","authenticated-orcid":false,"given":"Huaiyu","family":"Qin","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212000, China"},{"name":"School of Electrical and Information Engineering, Jiangsu University of Science and Technology, Zhenjiang 212000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Buhui","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leijun","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue","family":"Bai","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,3]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"Aceto, G., Persico, V., and Pescape, A. (2020). Industry 4.0 and Health: Internet of Things, Big Data, and Cloud Computing for Healthcare 4.0. J. Ind. Inf. Integr., 18.","key":"ref_1","DOI":"10.1016\/j.jii.2020.100129"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2103","DOI":"10.1109\/JIOT.2018.2869847","article-title":"Internet of Things (IoT) Cybersecurity Research: A Review of Current Research Topics","volume":"6","author":"Lu","year":"2019","journal-title":"IEEE Internet Things J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1109\/TGCN.2019.2960061","article-title":"On the Bound of Energy Consumption in Cellular IoT Networks","volume":"4","author":"Chandrasekharan","year":"2020","journal-title":"IEEE Trans. Green Commun. Network."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1049\/cmu2.12071","article-title":"Non-interactive integrated membership authentication and group arithmetic computation output for 5G sensor networks","volume":"15","author":"Hsu","year":"2021","journal-title":"IET Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/MNET.011.2000418","article-title":"Review and Implementation of Resilient Public Safety Networks: 5G, IoT, and Emerging Technologies","volume":"35","author":"Ali","year":"2021","journal-title":"IEEE Netw."},{"doi-asserted-by":"crossref","unstructured":"Al Homssi, B., Al-Hourani, A., Chavez, K.G., Chandrasekharan, S., and Kandeepan, S. (2018, January 17\u201319). Energy-Efficient IoT for 5G: A Framework for Adaptive Power and Rate Control. Proceedings of the 2018 12th International Conference on Signal Processing and Communication Systems (ICSPCS), Cairns, Australia.","key":"ref_6","DOI":"10.1109\/ICSPCS.2018.8631733"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1109\/COMST.2019.2933899","article-title":"A Survey on Security and Privacy of 5G Technologies: Potential Solutions, Recent Advancements, and Future Directions","volume":"22","author":"Khan","year":"2020","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1109\/COMST.2014.2368999","article-title":"Wireless Networks with RF Energy Harvesting: A Contemporary Survey","volume":"17","author":"Lu","year":"2015","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1109\/COMST.2015.2499783","article-title":"Wireless Charging Technologies: Fundamentals, Standards, and Network Applications","volume":"18","author":"Lu","year":"2016","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"7145","DOI":"10.1109\/JSEN.2021.3049918","article-title":"Wireless Power and Data Transmission for Implanted Devices via Inductive Links: A Systematic Review","volume":"21","author":"Karimi","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"8202","DOI":"10.1109\/JIOT.2019.2918837","article-title":"Energy-Aware Multiple Mobile Chargers Coordination for Wireless Rechargeable Sensor Networks","volume":"6","author":"Mo","year":"2019","journal-title":"IEEE Internet Things J."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"11505","DOI":"10.1109\/JIOT.2020.3019451","article-title":"Joint Sensor Selection and Energy Allocation for Tasks-Driven Mobile Charging in Wireless Rechargeable Sensor Networks","volume":"7","author":"Wu","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3135","DOI":"10.1109\/TVT.2019.2962877","article-title":"Research on Cost-Balanced Mobile Energy Replenishment Strategy for Wireless Rechargeable Sensor Networks","volume":"69","author":"Sha","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"9011","DOI":"10.1109\/JIOT.2020.3001034","article-title":"Adaptive Transmission Design for Rechargeable Wireless Sensor Network with a Mobile Sink","volume":"7","author":"Lan","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3518","DOI":"10.1109\/JSYST.2020.2977984","article-title":"A Periodic Multinode Charging and Data Collection Scheme With Optimal Traveling Path in WRSNs","volume":"14","author":"Lyu","year":"2020","journal-title":"IEEE Syst. J."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.apm.2020.05.009","article-title":"Design of optimal utility of wireless rechargeable sensor networks via joint spatiotemporal scheduling","volume":"86","author":"Zhao","year":"2020","journal-title":"Appl. Math. Model."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1109\/JIOT.2020.3005598","article-title":"Dynamic Charging Scheme Problem with Actor-Critic Reinforcement Learning","volume":"8","author":"Yang","year":"2021","journal-title":"IEEE Internet Things J."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.comnet.2017.05.021","article-title":"Wireless Sensor Networks and Multi-UAV systems for natural disaster management","volume":"124","author":"Erdelj","year":"2017","journal-title":"Comput. Netw."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"5508","DOI":"10.1109\/JIOT.2019.2903165","article-title":"DSF-NOMA: UAV-Assisted Emergency Communication Technology in a Heterogeneous Internet of Things","volume":"6","author":"Liu","year":"2019","journal-title":"IEEE Internet Things J."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3140","DOI":"10.1109\/TCOMM.2019.2895088","article-title":"UAV-Relaying-Assisted Secure Transmission with Caching","volume":"67","author":"Cheng","year":"2019","journal-title":"IEEE Trans. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1795","DOI":"10.1109\/TITS.2017.2737788","article-title":"A Survey on Petri Net Models for Freight Logistics and Transportation Systems","volume":"19","author":"Cavone","year":"2018","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.jnca.2018.12.001","article-title":"Towards agent-based petri net decision making modelling for cloud service composition: A literature survey","volume":"130","author":"Ahmed","year":"2019","journal-title":"J. Netw. Comput. Appl."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5092","DOI":"10.1109\/TWC.2018.2838134","article-title":"UAV-Enabled Wireless Power Transfer: Trajectory Design and Energy Optimization","volume":"17","author":"Xu","year":"2018","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"10187","DOI":"10.1109\/TVT.2019.2935877","article-title":"Joint Resources and Workflow Scheduling in UAV-Enabled Wirelessly-Powered MEC for IoT Systems","volume":"68","author":"Du","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"5674","DOI":"10.1109\/TCOMM.2019.2911294","article-title":"Optimal 1D Trajectory Design for UAV-Enabled Multiuser Wireless Power Transfer","volume":"67","author":"Hu","year":"2019","journal-title":"IEEE Trans. Commun."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1690","DOI":"10.1109\/JIOT.2018.2875446","article-title":"Throughput Maximization for UAV-Enabled Wireless Powered Communication Networks","volume":"6","author":"Xie","year":"2019","journal-title":"IEEE Internet Things J."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1109\/JIOT.2019.2954530","article-title":"Optimal UAV Route in Wireless Charging Sensor Networks","volume":"7","author":"Baek","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"4789","DOI":"10.1109\/JIOT.2020.2968346","article-title":"UAV-Assisted Wireless Charging for Energy-Constrained IoT Devices Using Dynamic Matching","volume":"7","author":"Su","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"4207","DOI":"10.1109\/TVT.2020.2969220","article-title":"Trajectory Optimization for UAVs\u2019 Efficient Charging in Wireless Rechargeable Sensor Networks","volume":"69","author":"Wu","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"13756","DOI":"10.1109\/TVT.2020.3026788","article-title":"Load Balance and Trajectory Design in Multi-UAV Aided Large-Scale Wireless Rechargeable Networks","volume":"69","author":"Wu","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"12883","DOI":"10.1109\/TVT.2020.3015246","article-title":"UAV-Enabled Wireless Power Transfer with Base Station Charging and UAV Power Consumption","volume":"69","author":"Yan","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3933","DOI":"10.1109\/JSEN.2020.3025054","article-title":"Optimization of Energy Utilization in Cognitive UAV Systems","volume":"21","author":"Hu","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1109\/JIOT.2020.3012835","article-title":"AoI-Minimal Trajectory Planning and Data Collection in UAV-Assisted Wireless Powered IoT Networks","volume":"8","author":"Hu","year":"2021","journal-title":"IEEE Internet Things J."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1109\/TCOMM.2020.3025568","article-title":"Optimal UAV-Aided RFET System Design in Presence of Hovering Inaccuracy","volume":"69","year":"2021","journal-title":"IEEE Trans. Commun."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1109\/TWC.2020.3030773","article-title":"Trajectory Design for UAV-Enabled Multiuser Wireless Power Transfer with Nonlinear Energy Harvesting","volume":"20","author":"Yuan","year":"2021","journal-title":"IEEE Trans. Wirel. Commun."},{"doi-asserted-by":"crossref","unstructured":"Caillouet, C., Razafindralambo, T., and Zorbas, D. (2019). Optimal placement of drones for fast sensor energy replenishment using wireless power transfer. 2019 Wireless Days, IEEE.","key":"ref_36","DOI":"10.1109\/WD.2019.8734203"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/TVT.2019.2959808","article-title":"Energy-Efficient UAV Routing for Wireless Sensor Networks","volume":"69","author":"Baek","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"unstructured":"Subash, J.S., Vijay, M., Preveen, V., Mohith, V., and Panda, M. (2020, January 10\u201312). Sensor Data Harvesting Using an Autonomous Drone. Proceedings of the 2020 5th International Conference on Communication and Electronics Systems (ICCES), Coimbatore, India.","key":"ref_38"},{"doi-asserted-by":"crossref","unstructured":"Amponis, G., Lagkas, T., Sarigiannidis, P., Vitsas, V., and Fouliras, P. (2021). Inter-UAV Routing Scheme Testbeds. Drones, 5.","key":"ref_39","DOI":"10.3390\/drones5010002"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1109\/TASE.2019.2932150","article-title":"Optimal Scheduling of Human-Robot Collaborative Assembly Operations with Time Petri Nets","volume":"18","author":"Casalino","year":"2021","journal-title":"IEEE Trans. Autom. Sci. Eng."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"4684","DOI":"10.1109\/JSYST.2020.2970748","article-title":"Modeling and Decision-Making Methods for a Class of Cyber-Physical Systems Based on Modified Hybrid Stochastic Timed Petri Net","volume":"14","author":"Cao","year":"2020","journal-title":"IEEE Syst. J."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"3670","DOI":"10.1109\/TSMC.2018.2883083","article-title":"A Distributed Control Approach to Automated Manufacturing Systems with Complex Routes and Operations Using Petri Nets","volume":"50","author":"Yang","year":"2020","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"4526","DOI":"10.1109\/TITS.2019.2937058","article-title":"Optimal Petri-Net Controller for Avoiding Collisions in a Class of Automated Guided Vehicle Systems","volume":"21","author":"Luo","year":"2020","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3117","DOI":"10.1109\/TITS.2019.2925824","article-title":"Design of Variable Traffic Light Control Systems for Preventing Two-Way Grid Network Traffic Jams Using Timed Petri Nets","volume":"21","author":"Luo","year":"2020","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_45","first-page":"3","article-title":"Petri-Net based Modelling and Multi-Objective Optimal Deployment for WRSN","volume":"22","author":"Qin","year":"2020","journal-title":"Control Eng. Appl. Inform."},{"doi-asserted-by":"crossref","unstructured":"Qin, H.Y., Zhao, B.H., Xu, L.J., and Bai, X. (2021). Hybrid Cyber Petri net Modelling, Simulation and Analysis of Master-Slave Charging for Wireless Rechargeable Sensor Networks. Sensors, 21.","key":"ref_46","DOI":"10.3390\/s21020551"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1016\/j.asoc.2018.11.048","article-title":"Mission-oriented ant-team ACO for min-max MTSP","volume":"76","author":"Lu","year":"2019","journal-title":"Appl. Soft Comput."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","article-title":"A fast and elitist multiobjective genetic algorithm: NSGA-II","volume":"6","author":"Deb","year":"2002","journal-title":"IEEE Trans. Evol. Comput."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/13\/2611\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:25:29Z","timestamp":1760163929000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/13\/2611"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,3]]},"references-count":48,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2021,7]]}},"alternative-id":["rs13132611"],"URL":"https:\/\/doi.org\/10.3390\/rs13132611","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2021,7,3]]}}}