41 research outputs found

    The Vector Maximization Problem: Proper Efficiency and Stability

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    Nutrition planning in developing nations : a bicriterion mathematical programming approach / 287

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    Includes bibliographical references (p. 37-44)

    Locating an obnoxious facility

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    Properties of sports ranking methods

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    Ideally, the ranking of sports teams should incorporate information (comprehensiveness) obtained from the outcome of a match, such as the strength of the opponent and schedule. In addition, the ranking method should be fair and not reward teams for poor performance or factors beyond their control, such as the sequence of the matches. We state properties such that if followed, the ranking methods will be fair and comprehensive. We evaluate five popular sports ranking methods and whether or not they adhere to these properties. Further, we identify a ranking method that under reasonably sufficient conditions will satisfy all of the properties

    Crowd-ranking: a Markov-based method for ranking alternatives

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    Many ranking algorithms rank a set of alternatives based on their performance in a set of pairwise comparisons. In this study, a special scenario is observed in which the objective is to rate and rank a set of groups in a traditional recruiting situation, in which the groups extend offers to the set of individuals, and the individuals will select one of their available offers. The new ranking method, Crowd-Ranking, uses collective wisdom and decision-making in conjunction with Markov chains to create competitive matches between alternatives and ultimately provide a ranking of the alternatives. First, the method is evaluated by its performance in a perfect season scenario. Next, it is applied to the case of NCAA football recruiting in the power conferences (ACC, Big Ten, Big 12, Pac 12 and SEC) in the Football Bowl Subdivision. For the Big Ten conference, the method performs significantly better than popular existing services at predicting future team performance based on past recruiting rankings. For a comprehensive national ranking of the power conferences, there is no statistically significant difference between Crowd-Ranking and the other methods
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