A standard formulation of a real-world distribution problem could not
be solved, even for a good solution, by a commercial mixed integer pro
gramming code. However, after reformulating it by reducing the number
of 0-1 variables and tightening the linear programming relaxation, an
optimal solution could be found efficiently. The purpose of this paper
is to demonstrate, with a real application, the practical importance
of the need for good formulations in solving mixed integer programming
problems.