Examining Optimal Criterion Weights in Mixed Integer Programming Approaches to the Multiple-group Classification Problem |
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Authors: | Robert Pavur Constantine Loucopoulos |
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Institution: | 1.University of North Texas;2.Emporia State University |
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Abstract: | Several mixed integer programming approaches to the multiple-group statistical classification problem are examined. Many papers have investigated conditions under which a degenerate solution occurs in linear programming approaches to the two-group discriminant problem. Very little research has been conducted in the multiple-group case. We investigate conditions under which a degenerate solution can occur in mixed integer programming approaches to the multiple-group classification problem. A multiple-group ‘minimize the sum of deviations’ model is presented. This model is similar in structure to the general single function classification model. Also, a two-goal approach to the multiple-group classification problem is discussed. |
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