Arbeitspapier

Scheduling sports leagues using branch- and price

A single round robin tournament can be described as a league of a set T of n teams (n even) to be scheduled such that each team plays exactly once against each other team and such that each team plays exactly once per period resulting in a set P of n — 1 periods. Matches are carried out at one of both opponents' stadiums. A team playing twice at home or twice away in two consecutive periods is said to have a break in the latter of both periods. There is a vast field of requests arising in real world problems. For example, the number of breaks is to be minimized due to fairness reasons. It is well known that at least n — 2 breaks must occur. We focus on schedules having the minimum number of breaks. Costs corresponding to each possible match are given and the objective is to minimize the sum of arranged matches' cost. Then, sports league scheduling can be seen as a hard combinatorial optimization problem. We develop a branch & price approach in order to find optimal solutions.

Sprache
Englisch

Erschienen in
Series: Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel ; No. 609

Klassifikation
Management
Thema
Sports league scheduling
round robin tournaments
break
branch& price
Sport
Sportorganisation
Scheduling-Verfahren
Heuristik
Theorie

Ereignis
Geistige Schöpfung
(wer)
Briskorn, Dirk
Drexl, Andreas
Ereignis
Veröffentlichung
(wer)
Universität Kiel, Institut für Betriebswirtschaftslehre
ZBW – Leibniz Information Centre for Economics
(wo)
Kiel
(wann)
2006

Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Briskorn, Dirk
  • Drexl, Andreas
  • Universität Kiel, Institut für Betriebswirtschaftslehre
  • ZBW – Leibniz Information Centre for Economics

Entstanden

  • 2006

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