The purpose of this article is to formulate and solve a shortest loop probl
em associated with the design of material flow handling systems in factorie
s. The problem is formulated as an Integer Linear Program (ILP) initially c
ontaining a very large number of constraints. Several simplifications are p
roposed in order to reduce the problem to a size amenable by standard ILP s
olvers. Computational results confirm the efficiency and practicality of th
e proposed approach.