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Finding Reliable Shortest Paths in Road Networks Under Uncertainty

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  • Bi Chen

    ()

  • William Lam
  • Agachai Sumalee
  • Qingquan Li
  • Hu Shao
  • Zhixiang Fang

Abstract

The aim of this study is to investigate the solution algorithm for solving the problem of determining reliable shortest paths in road networks with stochastic travel times. The availability of reliable shortest paths enables travelers, in the face of travel time uncertainty, to plan their trips with a pre-specified on-time arrival probability. In this study, the reliable shortest path between origin and destination nodes is determined using a multiple-criteria shortest path approach when link travel times follow normal distributions. The dominance conditions involved in such problems are established, thereby reducing the number of generated non-dominated paths during the search processes. Two solution algorithms, multi-criteria label-setting and A* algorithms, are proposed and their complexities analyzed. Computational results using large scale networks are presented. Numerical examples using data from a real-world advanced traveller information system is also given to illustrate the applicability of the solution algorithms in practice. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Bi Chen & William Lam & Agachai Sumalee & Qingquan Li & Hu Shao & Zhixiang Fang, 2013. "Finding Reliable Shortest Paths in Road Networks Under Uncertainty," Networks and Spatial Economics, Springer, vol. 13(2), pages 123-148, June.
  • Handle: RePEc:kap:netspa:v:13:y:2013:i:2:p:123-148
    DOI: 10.1007/s11067-012-9175-1
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    References listed on IDEAS

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    1. Brumbaugh-Smith, J. & Shier, D., 1989. "An empirical investigation of some bicriterion shortest path algorithms," European Journal of Operational Research, Elsevier, vol. 43(2), pages 216-224, November.
    2. Miller-Hooks, Elise & Mahmassani, Hani, 2003. "Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks," European Journal of Operational Research, Elsevier, vol. 146(1), pages 67-82, April.
    3. Hu Shao & William Lam & Mei Tam, 2006. "A Reliability-Based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand," Networks and Spatial Economics, Springer, vol. 6(3), pages 173-204, September.
    4. Fu, Liping, 2001. "An adaptive routing algorithm for in-vehicle route guidance systems with real-time information," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 749-765, September.
    5. Anthony Chen & Chao Yang & Sirisak Kongsomsaksakul & Ming Lee, 2007. "Network-based Accessibility Measures for Vulnerability Analysis of Degradable Transportation Networks," Networks and Spatial Economics, Springer, vol. 7(3), pages 241-256, September.
    6. Nie, Yu (Marco) & Wu, Xing, 2009. "Shortest path problem considering on-time arrival probability," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 597-613, July.
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    Cited by:

    1. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9328-8 is not listed on IDEAS
    2. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
    3. Mohammad Hossein Anisi & Abdul Hanan Abdullah, 2016. "Efficient Data Reporting in Intelligent Transportation Systems," Networks and Spatial Economics, Springer, vol. 16(2), pages 623-642, June.
    4. repec:eee:transb:v:104:y:2017:i:c:p:501-521 is not listed on IDEAS
    5. Davood Shishebori & Lawrence Snyder & Mohammad Jabalameli, 2014. "A Reliable Budget-Constrained FL/ND Problem with Unreliable Facilities," Networks and Spatial Economics, Springer, vol. 14(3), pages 549-580, December.
    6. repec:kap:netspa:v:17:y:2017:i:3:d:10.1007_s11067-017-9345-2 is not listed on IDEAS
    7. Zhang, Yuli & Shen, Zuo-Jun Max & Song, Shiji, 2016. "Parametric search for the bi-attribute concave shortest path problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 150-168.
    8. Chen, Bi Yu & Li, Qingquan & Lam, William H.K., 2016. "Finding the k reliable shortest paths under travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 189-203.
    9. Tan, Zhijia & Yang, Hai & Guo, Renyong, 2014. "Pareto efficiency of reliability-based traffic equilibria and risk-taking behavior of travelers," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 16-31.
    10. repec:spr:annopr:v:242:y:2016:i:2:d:10.1007_s10479-015-1792-x is not listed on IDEAS

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