An optimal inventory model where resupply is possible but uncertain

A model is formulated for computing the optimal stock quantity of an item when resupply is possible but uncertain. The distinguishing feature of the model is that the optimal stock quantity calculation takes into account the cost of resupply and the probability of stock arriving by a specified mode of transport in time for issue to customers. The model is then applied to the problem of determining a preferred mode of transport for an assumed set of parameters.