{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T11:35:42Z","timestamp":1761824142084,"version":"build-2065373602"},"reference-count":78,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2019,9,12]],"date-time":"2019-09-12T00:00:00Z","timestamp":1568246400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71571182"],"award-info":[{"award-number":["71571182"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Natural Science Youth Foundation of China","award":["61603396"],"award-info":[{"award-number":["61603396"]}]},{"name":"National Natural Science Foundation of China and the Civil Aviation Grant","award":["U1633124"],"award-info":[{"award-number":["U1633124"]}]},{"name":"The National Natural Science Foundation of China and the Civil Aviation Grant","award":["U1733102"],"award-info":[{"award-number":["U1733102"]}]},{"name":"Shenzhen Science and Technology Innovation Committee","award":["ZDSYS20170725140921348"],"award-info":[{"award-number":["ZDSYS20170725140921348"]}]},{"name":"The Air Traffic Management Research Institute, NTU and the Civil Aviation Authority of Singapore Grant","award":["M4061216.057"],"award-info":[{"award-number":["M4061216.057"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>With the growth of air traffic demand in busy airspace, there is an urgent need for airspace sectorization to increase air traffic throughput and ease the pressure on controllers. The purpose of this paper is to develop a method framework that can perform airspace sectorization automatically, reasonably, which can be used as an advisory tool for controllers as an automatic system, especially for eliminating irregular sector shapes generated by simulated annealing algorithm (SAA) based on the region growth method. The two graph cutting method, dynamic Monte Carlo method by changing location of flexible vertices (MC-CLFV) and Monte Carlo method by radius changing (MC-RC) were developed to eliminate irregular sector shapes generated by SAA in post-processing. The experimental results show that the proposed method framework of airspace sectorization (AS) can automatically and reasonably generate sector design schemes that meet the design criteria. Our methodology framework and software can provide assistant design and analysis tools for airspace planners to design airspace, improve the reliability and efficiency of airspace design, and reduce the burden of airspace planners. In addition, this lays the foundation for reconstructing airspace with the more intelligent method.<\/jats:p>","DOI":"10.3390\/s19183934","type":"journal-article","created":{"date-parts":[[2019,9,12]],"date-time":"2019-09-12T10:56:06Z","timestamp":1568285766000},"page":"3934","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Method Framework for Automatic Airspace Reconfiguration-Monte Carlo Method for Eliminating Irregular Sector Shapes Generated by Region Growth Method"],"prefix":"10.3390","volume":"19","author":[{"given":"Zhijian","family":"Ye","sequence":"first","affiliation":[{"name":"College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fanhe","family":"Kong","sequence":"additional","affiliation":[{"name":"ATC Dep, Dalian ATM Station of Civil Aviation of China, Dalian 116033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baocheng","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Gao","sequence":"additional","affiliation":[{"name":"College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianfeng","family":"Mao","sequence":"additional","affiliation":[{"name":"School of Science and Engineering, Shenzhen Key Laboratory of IoT Intelligent Systems and Wireless Network Technology, The Chinese University of Hong Kong, Shenzhen 518172, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,9,12]]},"reference":[{"key":"ref_1","first-page":"330","article-title":"Exploring the differences in the airport competitiveness formation mechanism: Evidence from 45 Chinese airports during 2010\u20132014","volume":"5","author":"Cui","year":"2017","journal-title":"Transp. B"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Chen, Y.X., Yu, J., Tsai, S.B., and Zhu, J.F. (2018). An Empirical Study on the Indirect Impact of Flight Delay on China's Economy. Sustainability, 10.","DOI":"10.3390\/su10020357"},{"key":"ref_3","first-page":"36","article-title":"Power Network Partitioning Based on Clustering Analysis in Mvar Control Space","volume":"29","author":"Guo","year":"2005","journal-title":"Autom. Electr. Power Syst."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Tang, J., Alam, S., Lokan, C., and Abbass, H.A. (2012, January 10\u201315). A multi-objective evolutionary method for dynamic airspace re-sectorization using sectors clipping and similarities. Proceedings of the 2012 IEEE Congress on Evolutionary Computation, Brisbane, Australia.","DOI":"10.1109\/CEC.2012.6253008"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Ehrmanntraut, R., and McMillan, S. (2007, January 21\u201325). Airspace design process for dynamic sectorisation. Proceedings of the 2007 IEEE\/AIAA 26th Digital Avionics Systems Conference, Dallas, TX, USA.","DOI":"10.1109\/DASC.2007.4391888"},{"key":"ref_6","unstructured":"Conker, R.S., Moch-Mooney, D.A., Niedringhaus, W.P., and Simmons, B.T. (2007, January 2\u20135). New process for \u201cclean sheet\u201d airspace design and evaluation. Proceedings of the 7th US\/Europe ATM Seminar, Barcelona, Spain."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Demetriou, D., See, L., and Stillwell, J. (2014, January 7\u201310). Integrating GIS and genetic algorithms for automating land partitioning. Proceedings of the International Conference on Remote Sensing & Geoinformation of the Environment, Paphos, Cyprus.","DOI":"10.1117\/12.2064520"},{"key":"ref_8","first-page":"225","article-title":"Elimination particle swarm optimization with hill climbing algorithm for solving large-scale hardware\/software partitioning problem","volume":"47","author":"Yan","year":"2017","journal-title":"J. Southeast Univ."},{"key":"ref_9","unstructured":"Dinan, E., Awduche, D.O., and Jabbari, B. (2000, January 18\u201322). Analytical framework for dynamic traffic partitioning in MPLS networks. Proceedings of the 2000 IEEE International Conference on Communications, New Orleans, LA, USA."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"802","DOI":"10.1134\/S0005117916050052","article-title":"Analysis of models of the integral cellular communication network with different schemes of channel partitioning","volume":"77","author":"Melikov","year":"2016","journal-title":"Autom. Remote Control"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1007\/s10922-009-9149-x","article-title":"Modeling of Adaptive Load Balancing with Hybrid F\/CDMA and Sectorization Schemes in Mobile Communication Networks","volume":"18","author":"Chu","year":"2010","journal-title":"J. Netw. Syst. Manag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.1086\/210138","article-title":"Market Partitioning and the Geometry of the Resource Space1","volume":"104","author":"Peli","year":"1999","journal-title":"Am. J. Sociol."},{"key":"ref_13","first-page":"9","article-title":"Optimization approach in multi-stop routing of small islands","volume":"54","author":"Krile","year":"2018","journal-title":"Zesz. Nauk. Akad. Mor. W Szczec."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Guze, S. (2018). Review of Methods and Algorithms for Modelling Transportation Networks Based on Graph Theory. Sci. J. Gdyn. Marit. Univ., 25\u201339.","DOI":"10.26408\/107.02"},{"key":"ref_15","first-page":"33","article-title":"The Concept of the Development of Intermodal Transport Network Illustrated by Polish Market","volume":"64","author":"Milewski","year":"2017","journal-title":"NA\u0160E MORE Znan. Stru\u010dni \u010casopis Za More I Pomor."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1002\/etep.255","article-title":"A new min-cut problem with application to electric power network partitioning","volume":"19","author":"Sen","year":"2010","journal-title":"Int. Trans. Electr. Energy Syst."},{"key":"ref_17","unstructured":"Delahaye, D., Alliot, J., Schoenauer, M., and Farges, J. (1994, January 1\u20134). Genetic algorithms for partitioning air space. Proceedings of the Tenth Conference on Artificial Intelligence for Applications, San Antonia, TX, USA."},{"key":"ref_18","unstructured":"John, R.M., Robert, G.R., and David, B.F. (1995). Genetic Algorithms for Automatic Regrouping of Air Traffic Control Sectors. Evolutionary Programming IV: Proceedings of the Fourth Annual Conference on Evolutionary Programming, San Diego, CA, USA, 1\u20133 March 1995, MIT Press."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/S0165-0114(99)00037-8","article-title":"Airspace daily operational sectorization by fuzzy logic","volume":"116","year":"2000","journal-title":"Fuzzy Sets Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"624","DOI":"10.2514\/1.41159","article-title":"Airspace Sector Redesign Based on Voronoi Diagrams","volume":"6","author":"Xue","year":"2009","journal-title":"J. Aerosp. Comput. Inf. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1016\/j.cja.2014.06.009","article-title":"Dynamic airspace configuration method based on a weighted graph model","volume":"27","author":"Chen","year":"2014","journal-title":"Chin. J. Aeronaut."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"31","DOI":"10.3141\/2266-04","article-title":"Dynamic Airspace Configuration Using Approximate Dynamic Programming Intelligence-Based Paradigm","volume":"2266","author":"Kulkarni","year":"2012","journal-title":"Transp. Res. Rec."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1016\/j.trc.2018.07.032","article-title":"Dynamic airspace sectorisation for flight-centric operations","volume":"95","author":"Gerdes","year":"2018","journal-title":"Transp. Res. Part C Emerg. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Michalek, D., and Balakrishnan, H. (2010, January 15\u201317). Dynamic Reconfiguration of Terminal Airspace During Convective Weather. Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, USA.","DOI":"10.1109\/CDC.2010.5718007"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"6048326","DOI":"10.1155\/2016\/6048326","article-title":"Sectorization and Configuration Transition in Airspace Design","volume":"2016","author":"Zou","year":"2016","journal-title":"Math. Probl. Eng."},{"key":"ref_26","unstructured":"Flener, P., and Pearson, J. (2013). Automatic Airspace Sectorisation: A Survey. arXiv."},{"key":"ref_27","unstructured":"Bichot, C.-E., and Durand, N. (2007, January 2\u20135). A tool to design functional airspace blocks. Proceedings of the ATM 2007, 7th USA\/Europe Air Traffic Management Research and Developpment Seminar, Barcelona, Spain."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1051\/ro:2005005","article-title":"Airspace sectorization with constraints","volume":"39","author":"Trandac","year":"2005","journal-title":"RAIRO Oper. Res."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Li, J., Wang, T., Hwang, I., and Hwang, I. (2009, January 21\u201323). A spectral clustering based algorithm for dynamic airspace configuration. Proceedings of the 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO) and Aircraft Noise and Emissions Reduction Symposium (ANERS), Hilton Head, SC, USA.","DOI":"10.2514\/6.2009-7056"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s40534-013-0010-2","article-title":"Dynamic airspace sectorization via improved genetic algorithm","volume":"21","author":"Chen","year":"2013","journal-title":"J. Mod. Transp."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1017\/S0001924000009118","article-title":"Airspace sectorisation via a weighted graph model","volume":"118","author":"Zhang","year":"2014","journal-title":"Aeronaut. J."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Yousefi, A., and Donohue, G. (2004, January 20\u201322). Temporal and spatial distribution of airspace complexity for air traffic controller workload-based sectorization. Proceedings of the AIAA 4th Aviation Technology, Integration and Operations (ATIO) Forum, Chicago, IL, USA.","DOI":"10.2514\/6.2004-6455"},{"key":"ref_33","unstructured":"Martinez, S., Chatterji, G., Sun, D., and Bayen, A. (2002, January 5\u20138). A weighted-graph approach for dynamic airspace configuration. Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit, Monterey, CA, USA."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Drew, M. (2009, January 21\u201323). A method of optimally combining sectors. Proceedings of the 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO) and Aircraft Noise and Emissions Reduction Symposium (ANERS), Hilton Head, SC, USA.","DOI":"10.2514\/6.2009-7057"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Kulkarni, S., Ganesan, R., and Sherry, L. (2011, January 10\u201312). Static sectorization approach to dynamic airspace configuration using approximate dynamic programming. Proceedings of the Integrated Communications, Navigation and Surveilance Conference (ICNS), Herndon, VA, USA.","DOI":"10.1109\/ICNSURV.2011.5935295"},{"key":"ref_36","unstructured":"Bloem, M., and Gupta, P. (2010, January 19\u201324). Configuring airspace sectors with approximate dynamic programming. Proceedings of the 27th Congress of International Council of the Aeronautical Sciences, Nice, France."},{"key":"ref_37","unstructured":"J\u00e4gare, P. (2019, September 11). Airspace Sectorisation Using Constraint Programming. Available online: Http:\/\/www.atmseminar.org\/seminarContent\/seminar10\/papers\/216-Flener_0125130237-Final-Paper-4-12-13.pdf."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Leiden, K., Peters, S., and Quesada, S. (2009, January 21\u201323). Flight level-based dynamic airspace configuration. Proceedings of the 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO) and Aircraft Noise and Emissions Reduction Symposium (ANERS), Hilton Head, SC, USA.","DOI":"10.2514\/6.2009-7104"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1016\/j.artint.2010.03.001","article-title":"Forecasting workload and airspace configuration with neural networks and tree search methods","volume":"174","author":"Gianazza","year":"2010","journal-title":"Artif. Intell."},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Kicinger, R., and Yousefi, A. (2009, January 21\u201323). Heuristic method for 3D airspace partitioning: Genetic algorithm and agent-based approach. Proceedings of the 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO) and Aircraft Noise and Emissions Reduction Symposium (ANERS), Hilton Head, SC, USA.","DOI":"10.2514\/6.2009-7058"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Drew, M. (2008, January 26\u201330). Analysis of an Optimal Sector Design Method. Proceedings of the 2008 IEEE\/AIAA 27th Digital Avionics Systems Conference, St. Paul, MN, USA.","DOI":"10.1109\/DASC.2008.4702801"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Sabhnani, G., Yousefi, A., and Mitchell, J.S. (2010, January 13\u201315). Flow conforming operational airspace sector design. Proceedings of the 10th AIAA Aviation Technology, Integration, and Operations (ATIO) Conference, Forth Worth, TX, USA.","DOI":"10.2514\/6.2010-9377"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1145\/1498698.1537598","article-title":"Geometric algorithms for optimal airspace design and air traffic controller workload balancing","volume":"14","author":"Basu","year":"2009","journal-title":"J. Exp. Algorithmics"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10479-011-0837-z","article-title":"Configuration of airspace sectors for balancing air traffic controller workload","volume":"203","author":"Sherali","year":"2013","journal-title":"Ann. Oper. Res."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"609","DOI":"10.2514\/1.51979","article-title":"Three-dimensional sector design with optimal number of sectors","volume":"35","author":"Xue","year":"2012","journal-title":"J. Guid. Control Dyn."},{"key":"ref_46","unstructured":"Gerdes, I., Temme, A., and Schultz, M. (2016, January 8\u201310). Dynamic airspace sectorization using controller task load. Proceedings of the Sixth Sesar Innovation Days, Delft, The Netherlands."},{"key":"ref_47","unstructured":"Delahaye, D., Schoenauer, M., and Alliot, J.-M. (1998, January 4\u20139). Airspace sectoring by evolutionary computation. Proceedings of the 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence, Anchorage, AK, USA."},{"key":"ref_48","unstructured":"Pawlak, W., Goel, V., Rothenberg, D., and Brinton, C. (2002, January 5\u20138). Comparison of algorithms for the dynamic resectorization of airspace. Proceedings of the Guidance, Navigation, and Control Conference and Exhibit, Monterey, CA, USA."},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Sergeeva, M., Delahaye, D., Mancel, C., Zerrouki, L., and Schede, N. (2015, January 1\u20133). 3d sectors design by genetic algorithm towards automated sectorisation. Proceedings of the 5th SESAR Innovation Days, Bologna, Italy.","DOI":"10.1109\/MTITS.2015.7223300"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1007\/s10878-012-9562-z","article-title":"Approximability of the subset sum reconfiguration problem","volume":"28","author":"Ito","year":"2014","journal-title":"J. Comb. Optim."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1002\/net.3230220307","article-title":"The optimal partitioning of networks","volume":"22","author":"Cheng","year":"1992","journal-title":"Networks"},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Gendreau, M., and Potvin, J.-Y. (2010). Handbook of Metaheuristics, Springer.","DOI":"10.1007\/978-1-4419-1665-5"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1287\/opre.37.6.865","article-title":"Optimization by simulated annealing: An experimental evaluation; part I, graph partitioning","volume":"37","author":"Johnson","year":"1989","journal-title":"Oper. Res."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1287\/opre.39.3.378","article-title":"Optimization by simulated annealing: An experimental evaluation; part II, graph coloring and number partitioning","volume":"39","author":"Johnson","year":"1991","journal-title":"Oper. Res."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1145\/2714568","article-title":"A Distributed Algorithm for Large-Scale Graph Partitioning","volume":"10","author":"Rahimian","year":"2015","journal-title":"ACM Trans. Auton. Adapt. Syst."},{"key":"ref_56","unstructured":"Dobrin, A. (2005). A Review of Properties and Variations of Voronoi Diagrams, Whitman College."},{"key":"ref_57","unstructured":"Sridhar, B., Sheth, K.S., and Grabbe, S. (1998, January 1\u20134). Airspace complexity and its application in air traffic management. Proceedings of the 2nd USA\/Europe Air Traffic Management R&D Seminar, Orlando, FL, USA."},{"key":"ref_58","first-page":"243","article-title":"Review of stress in air traffic control: Its measurement and effects","volume":"50","author":"Crump","year":"1979","journal-title":"Aviat. Space Environ. Med."},{"key":"ref_59","unstructured":"Averty, P., Athenes, S., Collet, C., and Dittmar, A. (2002, January 27\u201331). Evaluating a new index of mental workload in real ATC situation using psychophysiological measures. Proceedings of the 21st Digital Avionics Systems Conference, Irvine, CA, USA."},{"key":"ref_60","doi-asserted-by":"crossref","unstructured":"Martin, C., Cegarra, J., and Averty, P. (2011, January 9\u201314). Analysis of mental workload during en-route air traffic control task execution based on eye-tracking technique. Proceedings of the International Conference on Engineering Psychology and Cognitive Ergonomics, Orlando, FL, USA.","DOI":"10.1007\/978-3-642-21741-8_63"},{"key":"ref_61","unstructured":"Baart, D. (2001). An Evaluation of Dynamic Density Metrics Using RAMS, FAA Technical Center Report."},{"key":"ref_62","unstructured":"Yousefi, A., Donohue, G.L., and Qureshi, K. (2003, January 23\u201327). Investigation of en route metrics for model validation and airspace design using the total airport and airspace modeler (TAAM). Proceedings of the Fifth USA\/Europe Air Traffic Management R&D Seminar, Budapest, Hungary."},{"key":"ref_63","unstructured":"Majumdar, A., Ochieng, W., McAuley, G., Lenzi, J., and Lepadetu, C. (2005, January 27\u201330). The factors affecting airspace capacity in europe: A framework methodology based on cross sectional time-series analysis using simulated controller workload data. Proceedings of Proceedings of the 6th USA\/Europe Air Traffic Management R & D Seminar, Baltimore, MD, USA."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1108\/00022661111119900","article-title":"A new approach to air traffic controller workload measurement and modelling","volume":"83","author":"Oktal","year":"2011","journal-title":"Aircr. Eng. Aerosp. Technol."},{"key":"ref_65","doi-asserted-by":"crossref","unstructured":"Chatterji, G., and Sridhar, B. (2001, January 16\u201318). Measures for air traffic controller workload prediction. Proceedings of the 1st AIAA, Aircraft, Technology Integration, and Operations Forum, Los Angeles, CA, USA.","DOI":"10.2514\/6.2001-5242"},{"key":"ref_66","unstructured":"Kopardekar, P., and Magyarits, S. (2003, January 23\u201327). Measurement and prediction of dynamic density. Proceedings of the 5th USA\/Europe Air Traffic Management R & D Seminar, Budapest, Hungary."},{"key":"ref_67","unstructured":"Gianazza, D. (2017, January 26\u201330). Learning air traffic controller workload from past sector operations. Proceedings of the ATM Seminar, 12th USA\/Europe Air Traffic Management R&D Seminar, Seattle, WA, USA."},{"key":"ref_68","doi-asserted-by":"crossref","unstructured":"Jorna, P. (1991). Operator workload as a limiting factor in complex systems. Automation and Systems Issues in Air Traffic Control, Springer.","DOI":"10.1007\/978-3-642-76556-8_28"},{"key":"ref_69","unstructured":"Council, N.R. (2010). Air Traffic Controller Staffing in the en Route Domain: A Review of the Federal Aviation Administration's Task Load Model, Transportation Research Board."},{"key":"ref_70","unstructured":"FAA (2007). Order 7210.3, Facility Operation and Administration."},{"key":"ref_71","first-page":"189","article-title":"Graph connectivity by the adjacency matrix","volume":"12","author":"Palla","year":"2003","journal-title":"Far East J. Appl. Math."},{"key":"ref_72","unstructured":"Kanazawa, N., Sasahira, T., Kaneda, S., and Haga, H. (2006, January 28\u201331). Automatic generation method of relation matrix for ISM. Proceedings of the Conference on Knowledge-Based Software Engineering, Tallinn, Estonia."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/S0031-3203(02)00060-2","article-title":"The global k-means clustering algorithm","volume":"36","author":"Likas","year":"2003","journal-title":"Pattern Recognit."},{"key":"ref_74","first-page":"529","article-title":"Monte Carlo method and sensitivity estimations","volume":"75","author":"De","year":"2018","journal-title":"J. Quant. Spectrosc. Radiat. Transf."},{"key":"ref_75","unstructured":"Wakefield, A., and Miller, S. (2002, January 5\u20138). Improving System Models by Using Monte Carlo Techniques on Plant Models. Proceedings of the AIAA Modeling and Simulation Technologies Conference and Exhibit, Monterey, CA, USA."},{"key":"ref_76","unstructured":"Mogford, R.H., Bridges, W., Gujarl, V., Lee, P.U., and Preston, W. (2013, January 12\u201314). Generic Airspace Survey. Proceedings of the 2013 Aviation Technology, Integration, and Operations Conference, Los Angeles, CA, USA."},{"key":"ref_77","unstructured":"Guttman, J.A., Stein, E., and Gromelski, S. (1995). The Influence of Generic Airspace on Air Traffic Controller Performance."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s13272-011-0030-8","article-title":"An approach to support controller work-place design in a multi-airport environment using fast and real-time simulations","volume":"2","author":"Schier","year":"2011","journal-title":"CEAS Aeronaut. J."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/18\/3934\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:19:23Z","timestamp":1760188763000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/18\/3934"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,12]]},"references-count":78,"journal-issue":{"issue":"18","published-online":{"date-parts":[[2019,9]]}},"alternative-id":["s19183934"],"URL":"https:\/\/doi.org\/10.3390\/s19183934","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2019,9,12]]}}}