Mathematical Programming Formulations for the Bottleneck Hyperplane Clustering Problem

نویسندگان

  • Kanika Dhyani
  • Leo Liberti
چکیده

We discuss a mixed-integer nonlinear programming formulation for the problem of covering a set of points with a given number of slabs of minimum width, known as the bottleneck variant of the hyperplane clustering problem. We derive several linear approximations, which we solve using a standard mixed-integer linear programming solver. A computational comparison of the performance of the different linearizations is provided.

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تاریخ انتشار 2008