Icebreaker Planning Under Dynamic Ice Conditions

Authors

  • Aleksandr Kodukov Saint Petersburg State Electrotechnical University image/svg+xml
  • Samvel Arutyunyan Saint Petersburg State Electrotechnical University image/svg+xml
  • Maksim Subbotin Saint Petersburg State Electrotechnical University image/svg+xml

DOI:

https://doi.org/10.32603/2071-2340-2025-4-49-60

Keywords:

graph optimization, vehicle routing problem, ice navigation, heuristic algorithms

Abstract

This paper addresses the problem of optimal joint routing of ship convoys escorted by icebreakers under   time-varying ice conditions. We propose a mathematical model that reduces the problem to discrete optimization on a temporal graph with edge weights dependent on ice coverage. A specialized two-level heuristic algorithm is developed, combining graph-based route search with greedy convoy formation scheduling. Experimental evaluation on real-world data demonstrates the method's ability to generate feasible solutions in near real-time while significantly reducing total vessel delivery time.

Author Biographies

  • Aleksandr Kodukov, Saint Petersburg State Electrotechnical University

    Postgraduate, ETU "LETI", avkodukov@etu.ru

  • Samvel Arutyunyan, Saint Petersburg State Electrotechnical University

    Master's Degree student, ETU "LETI", sttiemath@gmail.com

  • Maksim Subbotin, Saint Petersburg State Electrotechnical University

    Postgraduate, ETU "LETI", mosubbotin@etu.ru

References

P. Toth and D. Vigo, Eds., The Vehicle Routing Problem, Philadelphia, PA, USA: SIAM, 2002.

A. G. Topaj, O. V. Tarovik, A. A. Bakharev, and A. A. Kondratenko, “Optimal ice routing of a ship with icebreaker assistance,” Appl. Ocean Res., vol. 86, pp. 177–187, 2019, doi: 10.1016/j.apor.2019.02.021.

C. E. Cortés, M. Matamala, and C. Contardo, “The pickup and delivery problem with transfers: Formulation and a branch-and-cut solution method,” Eur. J. Oper. Res., vol. 200, no. 3, pp. 711–724, 2010, doi: 10.1016/j.ejor.2009.01.022.

T. Y. Ma, S. Rasulkhani, J. Y. J. Chow, and S. H. Chung, “A dynamic ridesharing dispatch and idle vehicle repositioning strategy with integrated transit transfers,” Transportation Research Part E: Logistics and Transportation Review, vol. 128, pp. 417–442, 2019, doi: 10.1016/j.tre.2019.07.002.

S. Arutyunyan and M. Subbotin, Web service source code. (Jun. 2024). GitHub. [Online]. Available: https://github.com/sttie/ldt-rosatom/

Published

2026-01-13

Issue

Section

Algorithmic mathematics and mathematical modelling

How to Cite

[1]
A. Kodukov, S. Arutyunyan, and M. Subbotin, “Icebreaker Planning Under Dynamic Ice Conditions”, Computer Tools in Education, no. 4, pp. 49–60, Jan. 2026, doi: 10.32603/2071-2340-2025-4-49-60.

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