On affine scaling and semi-infinite programming

نویسندگان

  • Michael C. Ferris
  • Andrew B. Philpott
چکیده

In this note we are concerned with the generalization given by Ferris and Philpott [3] of the affine scaling algorithm discovered by Dikin [2] to solve semi-infinite linear programming problems, in which the number of variables is finite, but the number of constraints is not. In [3] a discrepancy is pointed out between the classical algorithm and its generalization. The purpose of this note is to explain the discrepancy. Ferris and Philpott [3] propose an affine scaling algorithm for linear programs of the following form:

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عنوان ژورنال:
  • Math. Program.

دوره 56  شماره 

صفحات  -

تاریخ انتشار 1992