The flexibility of home away pattern sets

Roel Lambers (), Dries Goossens () and Frits C. R. Spieksma ()
Additional contact information
Roel Lambers: Eindhoven University of Technology
Dries Goossens: Ghent University
Frits C. R. Spieksma: Eindhoven University of Technology

Journal of Scheduling, 2023, vol. 26, issue 5, No 2, 413-423

Abstract: Abstract A popular approach to construct a schedule for a round-robin tournament is known as first-break, then-schedule. Thus, when given a home away pattern (HAP) for each team, which specifies for each round whether the team plays a home game or an away game, the remaining challenge is to find a round for each match that is compatible with both team’s patterns. When using such an approach, it matters how many rounds are available for each match: the more rounds are available for a match, the more options exist to accommodate particular constraints. We investigate the notion of flexibility of a set of HAPs and introduce a number of measures assessing this flexibility. We show how the so-called canonical pattern set (CPS) behaves on these measures, and, by solving integer programs, we give explicit values for all single-break HAP sets with at most 16 teams.

Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10951-022-00734-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00734-w

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10951

DOI: 10.1007/s10951-022-00734-w

Access Statistics for this article

Journal of Scheduling is currently edited by Edmund Burke and Michael Pinedo

More articles in Journal of Scheduling from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().