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Deterministic Minimal Time Vessel Routing

Author

Listed:
  • Nikiforos A. Papadakis

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Anastassios N. Perakis

    (University of Michigan, Ann Arbor, Michigan)

Abstract

We develop general methodologies for the minimal time routing problem of a vessel moving in stationary or time dependent environments, respectively. Local optimality considerations, combined with global boundary conditions, result in piecewise continuous optimal policies. In the stationary case, the velocity of the traveling vessel within each subregion depends only on the direction of motion. Variational calculus is used to derive the geometry of piecewise linear extremals. For the time dependent problem, the speed of the vessel within each subregion is assumed to be a known function of time and the direction of motion. Optimal control theory is used to reveal the nature of piecewise continuous optimal policies.

Suggested Citation

  • Nikiforos A. Papadakis & Anastassios N. Perakis, 1990. "Deterministic Minimal Time Vessel Routing," Operations Research, INFORMS, vol. 38(3), pages 426-438, June.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:3:p:426-438
    DOI: 10.1287/opre.38.3.426
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    Citations

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    Cited by:

    1. Du, Yuquan & Meng, Qiang & Wang, Shuaian & Kuang, Haibo, 2019. "Two-phase optimal solutions for ship speed and trim optimization over a voyage using voyage report data," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 88-114.
    2. Irina S. Dolinskaya, 2012. "Optimal path finding in direction, location, and time dependent environments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(5), pages 325-339, August.
    3. Meng, Qiang & Du, Yuquan & Wang, Yadong, 2016. "Shipping log data based container ship fuel efficiency modeling," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 207-229.
    4. Lo, Hong K. & McCord, Mark R., 1998. "Adaptive ship routing through stochastic ocean currents: general formulations and empirical results," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(7), pages 547-561, September.
    5. Shuaian Wang & Dan Zhuge & Lu Zhen & Chung-Yee Lee, 2021. "Liner Shipping Service Planning Under Sulfur Emission Regulations," Transportation Science, INFORMS, vol. 55(2), pages 491-509, March.
    6. Lo, Hong K. & McCord, Mark R., 1995. "Routing through dynamic ocean currents: General heuristics and empirical results in the gulf stream region," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 109-124, April.

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