Shortest path finding problem in stochastic time-dependent road networks with stochastic first-in-first-out property

IEEE Transactions on Intelligent Transportation Systems

Volumn 14, Issue 4, 2013, Pages 1907-1917

  Chen, Bi Yu ^a   Lam, William H K ^b   Li, Qingquan ^a,c,d   Sumalee, Agachai ^b   Yan, Ke ^a  

^a WUHAN UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^c SHENZHEN UNIVERSITY   (China)

^d BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Least expected time path; Shortest path problem; Stochastic first in first out (S FIFO); Stochastic time dependent (STD) network

Indexed keywords

COMPUTATIONAL ADVANTAGES; COMPUTATIONAL RESULTS; EXPECTED TIME; FIRST-IN-FIRST-OUT; FIRST-IN-FIRST-OUT PROPERTY; LARGE-SCALE NETWORK; SHORTEST PATH FINDINGS; SHORTEST PATH PROBLEM;

ALGORITHMS; GRAPH THEORY; TRAFFIC CONTROL;

STOCHASTIC SYSTEMS;

EID: 84888067530     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2013.2270282     Document Type: Article

References (37)

1. Z. C. Li, H. J. Huang, and W. H. K. Lam, "Modelling heterogeneous drivers' response to route guidance and parking information system in stochastic and time-dependent networks," Transportmetrica, vol. 8, no. 2, pp. 105-129, Mar. 2012.
2. S. Gao, "Modeling strategic route choice and real-time information impacts in stochastic and time-dependent networks," IEEE Trans. Intell. Transp. Syst., vol. 13, no. 3, pp. 1298-1311, Sep. 2012.
3. X. Chang, B. Y. Chen, Q. Li, X. Cui, L. Tang, and C. Liu, "Estimating realtime traffic carbon dioxide emissions based on intelligent transportation system technologies," IEEE Trans. Intell. Transp. Syst., vol. 14, no. 1, pp. 469-479, Mar. 2013.
4. S. Kim, M. E. Lewis, and C. C. White, "Optimal vehicle routing with realtime traffic information," IEEE Trans. Intell. Transp. Syst., vol. 6, no. 2, pp. 178-188, Jun. 2005. (Pubitemid 40925768)
5. L. Du, S. Peeta, and Y. H. Kim, "Online stochastic routing incorporating real-time traffic information," in Proc. Transp. Res. Board 92nd Annu. Meeting, Washington, DC, USA, Jan. 2013, pp. 1-19.
6. A. Orda and R. Rom, "Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length," J. ACM, vol. 37, no. 3, pp. 607-625, Jul. 1990. (Pubitemid 20723071)
7. K. Sung, M. G. H. Bell, M. Seong, and S. Park, "Shortest paths in a network with time-dependent flow speeds," Eur. J. Oper. Res., vol. 121, no. 1, pp. 32-39, Feb. 2000. (Pubitemid 30546342)
8. C. F. Daganzo, "Reversibility of the time-dependent shortest path problem," Transp. Res. Part B-Methodol., vol. 36, no. 7, pp. 665-668, Aug. 2002. (Pubitemid 34593179)
9. I. Chabini and S. Lan, "Adaptations of the A algorithm for the computation of fastest paths in deterministic discrete-time dynamic networks," IEEE Trans. Intell. Transp. Syst., vol. 3, no. 1, pp. 60-74, Mar. 2002. (Pubitemid 135706833)
10. C. Qian, C.-Y. Chan, and K.-L. Yung, "Reaching a destination earlier by starting later: Revisited," Transp. Res. Part E-Logist. Transp. Rev., vol. 47, no. 5, pp. 641-647, Sep. 2011.
11. A. Khosravi, E. Mazloumi, S. Nahavandi, D. Creighton, and J. W. C. van Lint, "Prediction intervals to account for uncertainties in travel time prediction," IEEE Trans. Intell. Transp. Syst., vol. 12, no. 2, pp. 537-547, Jun. 2011.
12. A. Hofleitner, R. Herring, P. Abbeel, and A. Bayen, "Learning the dynamics of arterial traffic from probe data using a dynamic Bayesian network," IEEE Trans. Intell. Transp. Syst., vol. 13, no. 4, pp. 1679-1693, Dec. 2012.
13. L. Du, S. Peeta, and Y. H. Kim, "An adaptive information fusion model to predict the short-term link travel time distribution in dynamic traffic networks," Transp. Res. Part B-Methodol., vol. 46, no. 1, pp. 235-252, Jan. 2012.
14. E. D. Miller-Hooks and H. S. Mahmassani, "Least expected time paths in stochastic, time-varying transportation networks," Transp. Sci., vol. 34, no. 2, pp. 198-215, May 2000.
15. L. P. Fu and L. R. Rilett, "Expected shortest paths in dynamic and stochastic traffic networks," Transp. Res. Part B-Methodol., vol. 32, no. 7, pp. 499-516, Sep. 1998. (Pubitemid 128407016)
16. E. D. Miller-Hooks and H. S. Mahmassani, "Least possible time paths in stochastic, time-varying networks," Comput. Oper. Res., vol. 25, no. 12, pp. 1107-1125, Dec. 1998.
17. E. Miller-Hooks and H. Mahmassani, "Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks," Eur. J. Oper. Res., vol. 146, no. 1, pp. 67-82, Apr. 2003.
18. Q. J. Kong, Z. P. Li, Y. K. Chen, and Y. C. Liu, "An approach to urban traffic state estimation by fusing multisource information," IEEE Trans. Intell. Transp. Syst., vol. 10, no. 3, pp. 499-511, Sep. 2009.
19. Q. Ou, R. L. Bertini, J.W. C. van Lint, and S. P. Hoogendoorn, "A theoretical framework for traffic speed estimation by fusing low-resolution probe vehicle data," IEEE Trans. Intell. Transp. Syst., vol. 12, no. 3, pp. 747-756, Sep. 2011.
20. Q. Ye, W. Y. Szeto, and S. C. Wong, "Short-term traffic speed forecasting based on data recorded at irregular intervals," IEEE Trans. Intell. Transp. Syst., vol. 13, no. 4, pp. 1727-1737, Dec. 2012.
21. I. Kaparias, M. G. H. Bell, and H. Belzner, "A new measure of travel time reliability for in-vehicle navigation systems," J. Intell. Transp. Syst., vol. 12, no. 4, pp. 202-211, Dec. 2008.
22. B. Y. Chen, W. H. K. Lam, A. Sumalee, Q. Q. Li, and M. L. Tam, "Reliable shortest path problems in stochastic time-dependent networks," J. Intell. Transp. Syst., Jul. 2013, to be published.
23. E. Miller-Hooks and H. S. Mahmassani, "Optimal routing of hazardous materials in stochastic, time-varying transportation networks," Transp. Res. Record, vol. 1645, pp. 143-151, Jan. 1998. (Pubitemid 128550905)
24. M. L. Fredman and R. E. Tarjan, "Fibonacci heaps and their uses in improved network optimization algorithms," J. ACM, vol. 34, no. 3, pp. 596-615, Jul. 1987.
25. B. Y. Chen, W. H. K. Lam, A. Sumalee, Q. Q. Li, H. Shao, and Z. X. Fang, "Finding reliable shortest paths in road networks under uncertainty," Netw. Spat. Econ., vol. 13, no. 2, pp. 123-148, Jun. 2013.
26. Y. Nie and X. Wu, "Shortest path problem considering on-time arrival probability," Transp. Res. Part B-Methodol., vol. 43, no. 6, pp. 597-613, Jul. 2009.
27. M. L. Tam and W. H. K. Lam, "Using automatic vehicle identification data for travel time estimation in Hong Kong," Transportmetrica, vol. 4, no. 3, pp. 179-194, Jul. 2008.
28. C. Carrion and D. Levinson, "Value of travel time reliability: A review of current evidence," Transp. Res. Part A-Policy Pract., vol. 46, no. 4, pp. 720-741, May 2012.
29. B. Y. Chen, W. H. K. Lam, A. Sumalee, and H. Shao, "An efficient solution algorithm for solving multi-class reliability-based traffic assignment problem," Math. Comput. Model., vol. 54, no. 5/6, pp. 1428-1439, Sep. 2011.
30. B. Y. Chen, Q. Q. Li, D. Wang, S.-L. Shaw, W. H. K. Lam, H. Yuan, and Z. X. Fang, "Reliable space-time prisms under travel time uncertainty," Ann. Assoc. Amer. Geogr., Apr. 2013, Accepted.
31. X. Wu and Y. Nie, "Modeling heterogeneous risk-taking behavior in route choice: A stochastic dominance approach," Transp. Res. Part A-Policy Pract., vol. 45, no. 9, pp. 896-915, Nov. 2011.
32. B. Y. Chen, W. H. K. Lam, A. Sumalee, and Z. L. Li, "Reliable shortest path finding in stochastic networks with spatial correlated link travel times," Int. J. Geogr. Inform. Sci., vol. 26, no. 2, pp. 365-386, Feb. 2012.
33. Y. Chen, M. G. H. Bell, and K. Bogenberger, "Reliable pretrip multipath planning and dynamic adaptation for a centralized road navigation system," IEEE Trans. Intell. Transp. Syst., vol. 8, no. 1, pp. 14-20, Mar. 2007.
34. M. G. H. Bell, V. Trozzi, S. H. Hosseinloo, G. Gentile, and A. Fonzone, "Time-dependent Hyperstar algorithm for robust vehicle navigation," Transp. Res. Part A-Policy Pract., vol. 46, no. 5, pp. 790-800, Jun. 2012.
35. A. Chen and Z. W. Ji, "Path finding under uncertainty," J. Adv. Transp., vol. 39, no. 1, pp. 19-37, Winter 2005. (Pubitemid 40635515)
36. T. Xing and X. Zhou, "Finding the most reliable path with and without link travel time correlation: A Lagrangian substitution based approach," Transp. Res. Part B-Methodol., vol. 45, no. 10, pp. 1660-1679, Dec. 2011.
37. T. Xing and X. Zhou, "Reformulation and solution algorithms for absolute and percentile robust shortest path problems," IEEE Trans. Intell. Transp. Syst., vol. 14, no. 2, pp. 943-954, Jun. 2013.