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Exact algorithms for the traveling salesman problem with draft limits

Author

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  • Battarra, Maria
  • Pessoa, Artur Alves
  • Subramanian, Anand
  • Uchoa, Eduardo

Abstract

This paper deals with the Traveling Salesman Problem (TSP) with Draft Limits (TSPDL), which is a variant of the well-known TSP in the context of maritime transportation. In this recently proposed problem, draft limits are imposed due to restrictions on the port infrastructures. Exact algorithms based on three mathematical formulations are proposed and their performance compared through extensive computational experiments. Optimal solutions are reported for open instances of benchmark problems available in the literature.

Suggested Citation

  • Battarra, Maria & Pessoa, Artur Alves & Subramanian, Anand & Uchoa, Eduardo, 2014. "Exact algorithms for the traveling salesman problem with draft limits," European Journal of Operational Research, Elsevier, vol. 235(1), pages 115-128.
    • Handle: RePEc:eee:ejores:v:235:y:2014:i:1:p:115-128
    DOI: 10.1016/j.ejor.2013.10.042
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    References listed on IDEAS

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    1. G. Dantzig & R. Fulkerson & S. Johnson, 1954. "Solution of a Large-Scale Traveling-Salesman Problem," Operations Research, INFORMS, vol. 2(4), pages 393-410, November.
    2. Stefan Irnich & Daniel Villeneuve, 2006. "The Shortest-Path Problem with Resource Constraints and k -Cycle Elimination for k (ge) 3," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 391-406, August.
    3. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
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    Cited by:

    1. Malaguti, Enrico & Martello, Silvano & Santini, Alberto, 2018. "The traveling salesman problem with pickups, deliveries, and draft limits," Omega, Elsevier, vol. 74(C), pages 50-58.
    2. Santini, Alberto & Plum, Christian E.M. & Ropke, Stefan, 2018. "A branch-and-price approach to the feeder network design problem," European Journal of Operational Research, Elsevier, vol. 264(2), pages 607-622.
    3. Shahin Gelareh & Bernard Gendron & Saïd Hanafi & Rahimeh Neamatian Monemi & Raca Todosijević, 2020. "The selective traveling salesman problem with draft limits," Journal of Heuristics, Springer, vol. 26(3), pages 339-352, June.

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