In applied mathematics, Bland's rule (also known as Bland's algorithm or Bland's anti-cycling rule) is a technique used in the simplex method for ensuring that a linear optimization problem always converges to an answer. Whenever there is a degenerate corner in the LP (e.g. , when Ax = 0), then the simplex algorithm may cycle forever. Bland's rule can break these cycles by using a simple heuristic to decide which column to pivot on.

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  • In applied mathematics, Bland's rule (also known as Bland's algorithm or Bland's anti-cycling rule) is a technique used in the simplex method for ensuring that a linear optimization problem always converges to an answer. Whenever there is a degenerate corner in the LP (e.g. , when Ax = 0), then the simplex algorithm may cycle forever. Bland's rule can break these cycles by using a simple heuristic to decide which column to pivot on. It was developed by Cornell University Engineering professor Robert Bland.
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  • In applied mathematics, Bland's rule (also known as Bland's algorithm or Bland's anti-cycling rule) is a technique used in the simplex method for ensuring that a linear optimization problem always converges to an answer. Whenever there is a degenerate corner in the LP (e.g. , when Ax = 0), then the simplex algorithm may cycle forever. Bland's rule can break these cycles by using a simple heuristic to decide which column to pivot on.
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  • Bland's rule
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