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In sports timetabling, creating an appropriate timetable for a round-robin tournament with home–away assignment is a significant problem. To solve this problem, we need to construct home–away assignment that can be completed into a timetable; such assignment is called a feasible pattern set. Although finding feasible pattern sets is at the heart of many(More)
This paper concerns the method of selecting the best subset of explanatory variables in a multiple linear regression model. To evaluate a subset regression model, some goodness-of-fit measures, e.g., adjusted R 2 , AIC and BIC, are generally employed. Although variable selection is usually handled via a stepwise regression method, the method does not always(More)
This paper considers the break minimization problem in sports timetabling. The problem is to find, under a given timetable of a round-robin tournament, a home-away assignment that minimizes the number of breaks, i.e., the number of occurrences of consecutive matches held either both at away or both at home for a team. We formulate the break minimization(More)
In this abstract, we deal with the Constant Distance Traveling Tournament Problem (CDTTP) [4], which is a special class of the Traveling Tournament Problem (TTP), established by Easton, Nemhauser and Trick [1]. We propose a lower bound of the optimal value of CDTTP, and two algorithms that produce feasible solutions whose objective values are close to the(More)
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For a given schedule of a round-robin tournament and a matrix of distances between homes of teams, an optimal home-away assignment problem is to find a home-away assignment that minimizes the total traveling distance. We propose a technique to transform the problem to MIN RES CUT. We apply Goemans and Williamson's 0.878-approximation algorithm for MAX RES(More)