This paper models the process of container control in a typical liner
shipping company. A two-stage model is developed to obtain optimal (co
st minimizing) decisions for both the size of a company's container fl
eet and the allocation of the containers within the company's shipping
service. The model lends itself to practical application in the sense
that it is capable of handling container leasing, purchasing, stockin
g, and allocating patterns; that the data requirements are compatible
with the information liner companies routinely gather; and that all th
e solutions are quickly obtainable using a PC-286 computer.