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An application of the SMAA–Choquet method to evaluate the performance of sailboats in offshore regattas

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Abstract

In this paper we apply a recently introduced multiple criteria decision aiding method, namely the SMAA–Choquet method, to compare the performances of different sailboats in regattas. In sailing races where sailboats with different design can participate, the performances of the boats can be evaluated by using different scoring options. In each scoring option, a corrected time is computed taking into account the physical characteristics and the performances of the sailboats. While, in real competitions, the final ranking of the sailboats is obtained by using only one of the considered scoring options, in this paper we propose to aggregate the time values computed by these scoring options in a unique one. Since the time values computed by the scoring options are given on different scales and a certain degree of interaction between them could be observed, we apply the SMAA–Choquet method that is able to deal with both aspects simultaneously.

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Notes

  1. Supposing that all criteria have an increasing direction of preference, \(a_h\) dominates \(a_k\) if \(g_i(a_h)\ge g_i(a_k)\) for all \(i=1,\ldots ,n\), and there exists at least one \(i\in \{1,\ldots ,n\}\) such that \(g_i(a_h)>g_i(a_k)\).

  2. Official website of the ORC: http://www.orc.org.

  3. Official website of the Syracuse–Malta regatta: http://www.rmyc.org/races/archive/?id=115&page=4.

  4. http://offshoreracingrule.org/.

  5. https://www.rorcrating.com/.

  6. http://www.ussailing.org/racing/offshore-big.

  7. http://www.orc.org/rules/ORC%20Rating%20Systems%202015.pdf

  8. Official website of the Syracuse–Malta regatta: http://www.rmyc.org/races/archive/?id=115&page=4.

  9. The Performance Line is a linearization of the Performance Curve which is a function that, given the wind speed, gives back the speed of the sailboat.

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Acknowledgements

The first, the third and the fourth authors wish also to acknowledge funding by the “FIR of the University of Catania BCAEA3 New developments in Multiple Criteria Decision Aiding (MCDA) and their application to territorial competitiveness”.

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Correspondence to Sally Giuseppe Arcidiacono.

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Angilella, S., Arcidiacono, S.G., Corrente, S. et al. An application of the SMAA–Choquet method to evaluate the performance of sailboats in offshore regattas. Oper Res Int J 20, 771–793 (2020). https://doi.org/10.1007/s12351-017-0340-7

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