297
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

A game theory approach for the measurement of transport network vulnerability from the system prospective

, , &
Pages 188-202 | Received 15 Mar 2013, Accepted 26 May 2014, Published online: 18 Jun 2014

References

  • Arnott, R., and K. Small. 1994. “The Economics of Traffic Congestion.” American Scientist 82 (5): 446–455.
  • Bell, M. G. H. 2000. “A Game Theory Approach to Measuring the Performance Reliability of Transport Networks.” Transportation Research Part B: Methodological 34 (6): 533–545. doi: 10.1016/S0191-2615(99)00042-9
  • Bell, M. G. H. 2003. “The Use of Game Theory to Measure the Vulnerability of Stochastic Networks.” IEEE Transactions on Reliability 52 (1): 63–68. doi: 10.1109/TR.2002.808062
  • Bell, M. G. H. 2006. “Mixed Route Strategies for the Risk-Averse Shipment of Hazardous Materials.” Networks & Spatial Economics 6 (3/4): 253–265. doi: 10.1007/s11067-006-9283-x
  • Bell, M. G. H., and C. Cassir. 2002. “Risk-Averse User Equilibrium Traffic Assignment: An Application of Game Theory.” Transportation Research 36B: 671–681. doi: 10.1016/S0191-2615(01)00022-4
  • Bell, M. G. H., C. Cassir, Y. Iida, and W. H. K. Lam. 1999. “A Sensitivity Based Approach to Network Reliability Assessment.” Proceedings of the 14th international symposium on transportation and traffic theory, 283–300. Oxford: Pergamon.
  • Bell, M. G. H., and U. Kanturska. 2008. “Finding Solutions to Mixed Route Strategies for Transporting Hazardous Materials.” Advanced Technologies and Methodologies for Risk Management in the Global Transport of Dangerous Goods 45: 133–145.
  • Bell, M. G. H., U. Kanturska, J. D. Schmocker, and A. Fonzone. 2008. “Attacker-Defender Models and Road Network Vulnerability.” Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences 366 (1872): 1893–1906. doi: 10.1098/rsta.2008.0019
  • Berdica, K. 2002. “An Introduction to Road Vulnerability: What Has Been Done, is Done and Should be Done.” Transport Policy 9 (2): 117–127. doi: 10.1016/S0967-070X(02)00011-2
  • Bianco, L., M. Caramia, and S. Giordani. 2009. “A Bilevel Flow Model for Hazmat Transportation Network Design.” Transportation Research Part C: Emerging Technologies 17 (2): 175–196. doi: 10.1016/j.trc.2008.10.001
  • Boyce, D. E., H. S. Mahmassani, and A. Nagurney. 2005. “A Retrospective on Beckmann, McGuire and Winsten's Studies in the Economics of Transportation.” Regional Science 84 (1): 85–103. doi: 10.1111/j.1435-5957.2005.00005.x
  • Cassir, C., and M. Bell. 2001. Reliability of Transport Networks. Chapter 7. The N+ M Person Game Approach To Network Variability. Baldock, UK: Research Studies Press Ltd, 91–102.
  • Chen, A., J. Kim, Z. Zhou, and P. Chootinan. 2007. “Alpha Reliable Network Design Problem.” Transportation Research Record: Journal of the Transportation Research Board, No. 2029: 49–57. doi: 10.3141/2029-06
  • Chen, B. Y., W. H. K. Lam, A. Sumalee, Q. Li, and Z. C. Li. 2012. “Vulnerability Analysis for Large-Scale and Congested Road Networks with Demand Uncertainty.” Transportation Research Part A-Policy and Practice 46 (3): 501–516. doi: 10.1016/j.tra.2011.11.018
  • Chen, A., H. Yang, H. K. Lo, and W. H. Tang. 2002. “Capacity Reliability of a Road Network: An Assessment Methodology and Numerical Results.” Transportation Research Part B 36 (3): 225–252. doi: 10.1016/S0191-2615(00)00048-5
  • Dalziell, E. P., and A. J. Nicholson. 2001. “Risk and Impact of Natural Hazards on a Road Network.” ASCE Journal of Transportation Engineering 127 (2): 159–166. doi: 10.1061/(ASCE)0733-947X(2001)127:2(159)
  • Du, Z. P., and A. J. Nicholson. 1997. “Degradable Transportation Systems: Sensitivity and Reliability Analysis.” Transportation Research B 31 (3): 225–237. doi: 10.1016/S0191-2615(96)00023-9
  • Hollander, Y., and J. Prashker. 2006. “The Applicability of Non-Cooperative Game Theory in Transport Analysis.” Transportation 33 (5): 481–496.
  • Igor, M., S. Filiposka, S. Gramatikov, D. Trajanov, and L. Kocarev. 2010. “Game Theoretic Approach for Discovering Vulnerable Links in Complex Networks.” Novel Algorithms and Techniques in Telecommunications and Networking 211–216. doi: 10.1007/978-90-481-3662-9_36
  • Iida, Y., and H. Wakabayashi. 1989. “An Approximation Method of Terminal Reliability of Road Network Using Partial Minimal Path and Cut Set.” Proceedings of the fifth world conference, vol. IV, 367–380. Japan: Yokohama.
  • Lam, W. H. K., H. Shao, and A. Sumalee. 2008. “Modeling Impacts of Adverse Weather Conditions on a Road Network with Uncertainties in Demand and Supply.” Transportation Research Part B 42: 890–910. doi: 10.1016/j.trb.2008.02.004
  • Neumann, J., and O. Morgenstern. 1944. Theory of Games and Economic Behavior. Princeton, NJ: Princeton University Press.
  • Szeto, W. Y. 2011. “Cooperative Game Approaches to Measuring Network Reliability Considering Paradoxes.” Transportation Research Part C 19: 229–241. doi: 10.1016/j.trc.2010.05.010
  • Szeto, W. 2013. “Routing and Scheduling Hazardous Material Shipments: Nash Game Approach.” Transportmetrica B: Transport Dynamics 1 (3): 237–260.
  • Szeto, W. Y., L. O'Brien, and M. O'Mahony. 2006. “Risk-Averse Traffic Assignment with Elastic Demands: NCP Formulation and Solution Method for Assessing Performance Reliability.” Network and Spatial Economics 6 (3): 313–332. doi: 10.1007/s11067-006-9286-7
  • Szeto, W. Y., L. O'Brien, and M. O'Mahony. 2007. “Generalisation of Risk Averse Traffic Assignment.” In Transportation and Traffic Theory, edited by R. E. Allsop, M. G. H. Bell, and B. G. Heydecker, 127–153. Amsterdam: Elsevier Science.
  • Szeto, W. Y., and A. Sumalee. 2009. “A Game Theoretic Approach to Routing and Scheduling Hazardous Materials in Transport Networks with Multiple Origin-Destination Pairs.” Proceedings of the 88th Annual Meeting of Transportation Research Board, Washington, DC.
  • Ugray, Z., L. Lasdon, J. Plummer, F. Glover, J. Kelly, and R. Martí. 2007. “Scatter Search and Local NLP Solvers: A Multistart Framework for Global Optimization.” INFORMS Journal on Computing 19 (3): 328–340. doi: 10.1287/ijoc.1060.0175
  • Wakabayashi, H., and Y. Iida. 1992. “Upper and Lower Bounds of Terminal Reliability of Road Networks: An Efficient Method with Boolean Algebra.” Journal of Natural Disaster Science 14: 29–44.
  • Wardrop, J. G. 1952. “Some Theoretical Aspects of Road Traffic Research.” Proceedings of the institute of civil engineers, Vol. 1, 325–362. UK: Greenford.
  • Watling, D. P., and G. E. Cantarellab. 2013. “Modelling Sources of Variation in Transportation Systems: Theoretical Foundations of Day-to-Day Dynamic Models.” Transportmetrica B: Transport Dynamics 1 (1): 3–32.
  • Yang, H. 1995. “Heuristic Algorithms for the Bilevel Origin-Destination Matrix Estimation Problem.” Transportation Research Part B: Methodological 29 (4): 231–242. doi: 10.1016/0191-2615(95)00003-V
  • Yang, H. 1997. “Sensitivity Analysis for the Elastic-Demand Network Equilibrium Problem with Applications.” Transportation Research 31B: 55–70. doi: 10.1016/S0191-2615(96)00015-X
  • Yang, H., and M. G. H. Bell. 1998. “A Capacity Paradox in Network Design and How to Avoid it.” Transportation Research-A 32 (7): 539–545.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.