Billions of personalized bank checks are used by individuals and organ
izations each year. Before the checks can be used, they must be custom
ized with the account number and customer's identification. In this pa
per, we discuss the problem of designing the bank check printing plate
s to minimize the total cost of printing the checks. The problem of as
signing orders to plates may be complicated by customer requirements.
The problem is initially formulated as an integer linear programing pr
oblem. A heuristic procedure, developed because of the long solution t
imes required by the I.P., is presented, and computational experience
is discussed.