The instances are available online. We publish the best solutions we have found, and invite the sports scheduling community to find solutions to the unsolved instances. Dirk Briskorn, Sönke Hartmann 2015 : Anwendungen des Resource-Constrained Project Scheduling Problem in der Produktionsplanung, In: T. This has led to a multitude of alternative approaches. Vancouver Nurmi K, Goossens D, Bartsch T, Bonomo F, Briskorn D, Duran G, et al.
September 2006, Springer, Berlin, pp 523-528. We believe that the instances will help researchers to test the value of their solution methods. We pick up a popular idea and decompose the overall problem in order to obtain two subproblems which can be solved sequentially. We believe that the instances will help researchers to test the value of their solution methods. Dirk Briskorn 2008 : Sports Leagues Scheduling - Models, Combinatorial Properties, and Optimization Algorithms. These applications suggest that effective algorithms for solving the graph coloring problem would be of great importance.
Only heuristic methods are known from the literature for solving instances of real life dimensions. General contact details of provider:. Springer Berlin Heidelberg, 2015, pp 109-130. It also allows you to accept potential citations to this item that we are uncertain about. Then, sports league scheduling can be seen as a hard combinatorial optimization problem.
We consider leagues with a set T of n teams where n is even. In: Ao S, Castillo O, Douglas C, Feng D, Lee J, editors. In this article we consider the case where the league consists of several divisions of equal size; constructions are described which take into account requirements concerning the breaks in the alternating sequences of home and away games as well as the consecutive arrangements of games inside a division or between divisions. Dirk Briskorn 2006 : Scheduling Sport Leagues using Branch-and-Price, Burke, E. We consider leagues with a set T of n teams where n is even. We consider here a model which satisfies the demands of many sports leagues.
Dirk Briskorn, Andreas Drexl 2015 : A branch-and-price algorithm for scheduling sport leagues, In: M. Dirk Briskorn, Simon Emde, Nils Boysen 2016 : Cooperative twin-crane scheduling, Discrete Applied Mathematics, Vol. In this paper, we give a comprehensive survey of these more traditional approaches. Spieksma, Greet Vanden Berghe 2016 : The lockmaster's problem, European Journal of Operational Research, Vol. Formal problem definitions as well as integer programming models are presented and analyzed.
Single round robin tournaments are a well known class of sports leagues schedules. Costs are associated to each possible match. Nils Boysen, Dirk Briskorn, Simon Emde 2018 : Scheduling electric vehicles and locating charging stations on a path, Journal of Scheduling, Journal of Scheduling, Vol. Although this problem has been tackled in several ways, good characterization of feasible pattern sets is not known yet. Costs corresponding to each possible match are given and the objective is to minimize the sum of cost of arranged matches. If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. Springer Berlin Heidelberg, 2018, pp 36-60.
The instances are available online. We propose two concepts ensuring different degrees of fairness. Furthermore, we present a new resource-based model which shall serve as a starting point for the development of new solution algorithms. Matches are carried out at one of the stadiums of both opponents. We show that the latter subproblem can be casted as a planar three-index assignment problem.
The approach is expressed with pseudo code and its results is presented with respect to some particular data in the final tables of the tournaments contested by up to ten teams. We believe that the instances will help researchers to test the value of their solution methods. Springer Berlin Heidelberg, 2018, pp 36-60. Integer programming and constraint programming methods each have their places in this approach, depending on the constraints and objective function. Pim van 't Hof, Gerhard Post, Dirk Briskorn 2010 : Round-robin Tournaments with Minimum Number of Breaks and Two Teams per Club, Operations Research Letters, Vol.