Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/147565
Authors: 
Briskorn, Dirk
Horbach, Andrei
Year of Publication: 
2009
Series/Report no.: 
Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 647
Abstract: 
Single round robin tournaments are a well known class of sports leagues schedules. We consider leagues with a set T of n teams where n is even. Costs are associated to each possible match. Since matches are carried out at one of both opponents venues matches may be forbidden in certain periods due to unavailability of stadiums. The goal is to find the minimum cost tournament among those having no forbidden match. We employ a Lagrangian relaxation approach in order to obtain tight lower bounds. Moreover, we develop a cost-oriented repair mechanism yielding a feasible tournament schedule to each Solution of the relaxed problem.
Subjects: 
Sports league scheduling
Lagrangian approach
round robin tournaments
Stadium availability
forbidden matches
Document Type: 
Working Paper

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