Inventory model for non-instantaneous deteriorating item with random pre-deterioration period

The paper studies an inventory model for non-instantaneous deteriorating item where the deterioration of the item is initiated at a random time point. It is assumed that no shortages are allowed and demand occurs uniformly but at different rates during pre- and post-deterioration periods. The optimum order quantity and reorder intervals are determined so as to minimise the total expected cost per unit length of an inventory cycle. Numerical examples are cited and a sensitivity analysis is carried out to study the effect of model parameters on the optimum policy.