Title: Facets of a mixed-integer bilinear covering set with bounds on variables,
Abstract: We derive a closed form description of the convex hull of mixed-integer
bilinear covering set with bounds on the integer variables. This convex hull
description is completely determined by considering some orthogonal disjunctive
sets defined in a certain way. Our description does not introduce any new
variables. We also derive a linear time separation algorithm for finding the
facet defining inequalities of this convex hull. We show the effectiveness of
the new inequalities using some examples.