  In this paper, we present a new perspective on cut generation in the context
of Benders decomposition. The approach, which is based on the relation between
the alternative polyhedron and the reverse polar set, helps us to improve
established cut selection procedures for Benders cuts, like the one suggested
by Fischetti, Salvagnin, and Zanette [FSZ10]. Our modified version of that
criterion produces cuts which are always supporting and, unless in rare special
cases, facet-defining. We discuss our approach in relation to the state of the
art in cut generation for Benders decomposition. In particular, we refer to
Pareto-optimality and facet-defining cuts and observe that each of these
criteria can be matched to a particular subset of parameterizations for our cut
generation framework. As a consequence, our framework includes the method to
generate facet-defining cuts proposed by Conforti and Wolsey [CW18] as a
special case.
