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Journal of Combinatorial Designs
Article . 2024 . Peer-reviewed
License: Wiley Online Library User Agreement
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zbMATH Open
Article . 2024
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Sailing league problems

Authors: Robert Schüler; Achill Schürmann;

Sailing league problems

Abstract

AbstractWe describe a class of combinatorial design problems which typically occur in professional sailing league competitions. We discuss connections to resolvable block designs and equitable coverings and to scheduling problems in operations research. We in particular give suitable boolean quadratic and integer linear optimization problem formulations, as well as further heuristics and restrictions, that can be used to solve sailing league problems in practice. We apply those techniques to three case studies obtained from real sailing leagues and compare the results with previously used tournament plans.

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Keywords

sailing league problems, Integer programming, quadratic programming, Quadratic programming, Combinatorial aspects of block designs, OR in sports, Combinatorics, Optimization and Control (math.OC), resolvable block design, Optimization and Control, FOS: Mathematics, Combinatorics (math.CO), equitable coverings, integer programming, 05B05 (Primary) 90C90, 90C20, 90C10 (Secondary)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green