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Minimum Time and Minimum Cost-Path Problems in Street Networks with Periodic Traffic Lights

Author

Listed:
  • Ravindra K. Ahuja

    (Department of Industrial and Systems Engineering, University of Florida, Gainsville, Florida)

  • James B. Orlin

    (Sloan School of Management, MIT, Cambridge, Massachusetts)

  • Stefano Pallottino

    (Dipartimento di Informatica, Università di Pisa, Pisa, Italy)

  • Maria Grazia Scutellà

    (Dipartimento di Informatica, Università di Pisa, Pisa, Italy)

Abstract

This paper investigates minimum time and minimum cost path problems in street networks regulated by periodic traffic lights. We show that the minimum time path problem is polynomially solvable. On the other hand, minimum cost path problems are generally NP-hard. Special, realistic cases which are polynomially solvable are discussed.

Suggested Citation

  • Ravindra K. Ahuja & James B. Orlin & Stefano Pallottino & Maria Grazia Scutellà, 2002. "Minimum Time and Minimum Cost-Path Problems in Street Networks with Periodic Traffic Lights," Transportation Science, INFORMS, vol. 36(3), pages 326-336, August.
    • Handle: RePEc:inm:ortrsc:v:36:y:2002:i:3:p:326-336
    DOI: 10.1287/trsc.36.3.326.7827
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    References listed on IDEAS

    as
    1. Desrochers, Martin & Soumis, Francois, 1988. "A reoptimization algorithm for the shortest path problem with time windows," European Journal of Operational Research, Elsevier, vol. 35(2), pages 242-254, May.
    2. Stuart E. Dreyfus, 1969. "An Appraisal of Some Shortest-Path Algorithms," Operations Research, INFORMS, vol. 17(3), pages 395-412, June.
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    Cited by:

    1. Yang, Baiyu & Miller-Hooks, Elise, 2004. "Adaptive routing considering delays due to signal operations," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 385-413, June.
    2. Arslan, Okan & Yıldız, Barış & Karaşan, Oya Ekin, 2015. "Minimum cost path problem for Plug-in Hybrid Electric Vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 123-141.
    3. Adamo, Tommaso & Gendreau, Michel & Ghiani, Gianpaolo & Guerriero, Emanuela, 2024. "A review of recent advances in time-dependent vehicle routing," European Journal of Operational Research, Elsevier, vol. 319(1), pages 1-15.
    4. Shen, Liang & Shao, Hu & Wu, Ting & Fainman, Emily Zhu & Lam, William H.K., 2020. "Finding the reliable shortest path with correlated link travel times in signalized traffic networks under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    5. Ahuja, Ravindra & Orlin, James & Pallottino, Stefano & Scutella, Maria, 2003. "Dynamic Shortest Paths Minimizing Travel Times And Costs," Working papers 4390-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.

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