Most examples of cycling in the simplex method are given without explanation of how they were constructed. An exception is Beale’s 1955 example built around the geometry of the dual simplex method in the plane. Using this approach we give a simple geometric explanation for a number of examples of cycling in the simplex method, including Alan Hoffman’s original example. This gives rise to a simp...

We live in a world in which scientific expertise and its epistemic authority become more important. On the other hand, the financial interests in research, which could potentially corrupt science, are increasing. Due to these two tendencies, a concern for the integrity of scientific research becomes increasingly vital. This concern is, however, hollow if we do not have a clear account of resear...