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A two-objective optimization of ship itineraries for a cruise company

Author

Listed:
  • Gianni Di Pillo

    (Start-Up of SAPIENZA University of Rome)

  • Marcello Fabiano

    (Start-Up of SAPIENZA University of Rome)

  • Stefano Lucidi

    (SAPIENZA University of Rome)

  • Massimo Roma

    (SAPIENZA University of Rome)

Abstract

This paper deals with the problem of cruise itinerary planning which plays a central role in worldwide cruise ship tourism. In particular, the Day-by-day Cruise Itinerary Optimization (DCIO) problem is considered. Assuming that a cruise has been planned in terms of homeports and journey duration, the DCIO problem consists in determining the daily schedule of each itinerary so that some Key Performance Indicators are optimized. The schedule of an itinerary, i.e. the sequence of visited ports, the arrival and departure time at each port, greatly affect cruise operative costs and attractiveness. We propose a Mixed Integer Linear Programming (MILP) formulation of the problem with the objective of minimizing the itinerary cost due to fuel and port costs, while maximizing an itinerary attractiveness index. This latter is strongly related to the ports visited as well as to the overall schedule of the itinerary. Therefore the problem turns out to be a bi-objective optimization problem. We provide its solution in terms of Pareto optimal solution points. Each single objective MILP problem which arises is solved by using an exact algorithm, implemented in a commercial solver. We consider the day-by-day itineraries of a major luxury cruise company in many geographical areas all over the world. Here we report, as illustrative examples, the results obtained on some of these real instances.

Suggested Citation

  • Gianni Di Pillo & Marcello Fabiano & Stefano Lucidi & Massimo Roma, 2023. "A two-objective optimization of ship itineraries for a cruise company," 4OR, Springer, vol. 21(4), pages 683-709, December.
    • Handle: RePEc:spr:aqjoor:v:21:y:2023:i:4:d:10.1007_s10288-023-00536-6
    DOI: 10.1007/s10288-023-00536-6
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    References listed on IDEAS

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    1. Markus Hartikainen & Kaisa Miettinen & Margaret Wiecek, 2012. "PAINT: Pareto front interpolation for nonlinear multiobjective optimization," Computational Optimization and Applications, Springer, vol. 52(3), pages 845-867, July.
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    6. Berit Dangaard Brouer & Christian Vad Karsten & David Pisinger, 2017. "Optimization in liner shipping," 4OR, Springer, vol. 15(1), pages 1-35, March.
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    1. Yves Crama & Michel Grabisch & Silvano Martello, 2024. "21 volumes for the 21st century," 4OR, Springer, vol. 22(1), pages 1-16, March.

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