Network-theoretic approach for analyzing connectivity in air transportation networks

Journal of Aircraft

Volumn 45, Issue 5, 2008, Pages 1669-1679

  DeLaurentis, Daniel ^a,b   Han, En Pei ^a,b   Kotegawa, Tatsuya ^a,b  

^a PURDUE UNIVERSITY   (United States)

^b Aeronautical and Astronautical Engineering

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; NETWORK THEORY (GRAPHS); SYSTEMS ANALYSIS; TOPOLOGY; TRANSPORTATION ROUTES;

AIR TRANSPORTATION NETWORKS; AIR TRANSPORTATION SYSTEMS; ANALYSIS APPROACH; ANALYSIS FRAMEWORKS; DEGREE DISTRIBUTIONS; NETWORK STRUCTURES; TOPOLOGICAL STRUCTURE; TRANSPORT NETWORKS;

AIR TRANSPORTATION;

EID: 54549099148     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.35244     Document Type: Article

References (24)

1. Donohue, G, "Air Transportation is a Complex Adaptive System: Not an Aircraft Design," AIAA Paper 2003-2668, July 2003.
2. DeLaurentis, D., and Kotegawa, T., "Establishment of a Network-Based Simulation of Future Air Transportation Concepts," AIAA Paper 2006-7719, Sept. 2006.
3. Mane, M., Crossley, W. A., and Nusawardhana, A., "System-of-Systems Inspired Aircraft Sizing and Airline Resource Allocation via Decomposition," Journal of Aircraft, Vol. 44, No. 4, 2007, pp. 1222-1235. doi:10.2514/1.26333
4. Taylor, C., and De Weck, O., "Coupled Vehicle Design and Network Flow Optimization for Air Transportation Systems," Journal of Aircraft, Vol. 44, No, 5, 2007, pp. 1479-1486.
5. DeLaurentis, D., "Understanding Transportation as a System-of-Systems Design Problem," AIAA Paper 2005-0123, Jan. 2005.
6. Holmes B., "Transformation in Air Transportation Systems for the 21st Century," Proceedings of the 24th Congress of the International Council on the Aeronautical Sciences (ICAS), ICAS, Stockholm, Sweden, Plenary paper, 2004.
7. Lewe, J., DeLaurentis, D., Mavris, D., and Schrage, D., "Entity-Centric Abstraction and Modeling Framework for Transportation Architectures," Journal of Air Transportation, Vol. 11, No. 3, 2006, pp. 3-33.
8. Erdõs, P., and Rényi, A., "On Random Graphs," Publicationes Mathematicae, Vol. 6, No. 2, 1959, pp. 290-297.
9. Newman, M., "The Structure and Function of Complex Networks," SIAM Review, Vol. 45, Nos. 3-4, 2003, pp. 167-256. doi:10.1137/ S003614450342480
10. Albert, R., and Barabási, A., "Statistical Mechanics of Complex Networks," Reviews of Modern Physics, Vol. 74, Jan. 2002, pp. 47-97. doi:10.1103/RevModPhys.74.47
11. Doyle, J. C., and Alderson, D., Li, L., Low, S., Roughan, M., Shalunov, S., Tanaka, R., and Willinger, W., "The 'Robust Yet Fragile' Nature of the Internet," Proceedings of the National Academy of Sciences of the United States of America, Vol. 102, No. 41, 2005, pp. 14497-14502.
12. Guimera, R., Mossa, S., Turtschi, A., and Amaral, L., "The Worldwide Air Transportation Network: Anomalous Centrality, Community Structure, and Cities' Global Roles," Proceedings of the National Academy of Sciences of the United States of America, Vol. 102, Sept. 2005, pp. 7794-7799. doi:10.1073/pnas.0407994102
13. Kincaid, R., "Scale-Free Graphs for General Aviation Flight Schedules," NASA, CR-2003-212648, Nov. 2003.
14. Berry, T., Moreno-Hines, F., Wells, M., Bhadra, D., Nelson, G., and Hechtman, S., "Airline Network Characteristics and Connectivity," Proceedings of 83rd Meeting of Transportation Research Board, Transportation Research Board (TRB), Washington, D.C., 2004.
15. Conway, S., "Scale-Free Networks and Commercial Air Carrier Transportation in the United States," Proceedings of the 24th Congress of the International Council of the Aeronautical Sciences (ICAS), ICAS, Stockholm, Sweden, 2004.
16. Bonnefoy, P., and Hansman, R., "Potential Impacts of Very Light Jets in the National Airspace System," Journal of Aircraft, Vol. 44, No. 4, 2007, pp. 1318-1326. doi:10.2514/1.26956
17. DeLaurentis, D., and Han, E., "A Network Theory-Based Approach for Modeling System-of-Systems," AIAA Paper 2006-6989, Sept. 2006.
18. Lederer, P., and Nambimadom, R., "Airline Network Design," Operations Research, Vol. 46, No. 6, Nov. 1998, pp. 785-804.
19. Newman, M., "Analysis of Weighted Networks," Physical Review, Vol. 70, No. 5, 2004, p. 56131.
20. Freeman, L., "A Set of Measures of Centrality Based on Betweenness," Sociometry, Vol. 40, No. 1, 1977, pp. 35-41.
21. Watts, D., and Strogatz, S., "Collective Dynamics of 'Small-World' Networks," Nature (London), Vol. 393, June 1998, pp. 440-442. doi:10.1038/30918
22. U.S. Bureau of Transportation Statistics (BTS), www.bts.gov [accessed numerous times over the study period].
23. Guimerà, R., Sales-Pardo, A., and Amaral, L., "Classes of Complex Networks Defined by Role-to-Role Connectivity Profiles," Nature Physics, Vol. 3, Jan. 2007, pp. 63-69. doi:10.1038/nphys489
24. DeLaurentis, D., and Kotegawa, T., "Evolution of Service Provider Behaviors via Network-based Analysis," AIAA Paper 2007-7755, Sept. 2007.