m-scheduling-period inventory model for deteriorating items with instantaneous demand

A probabilistic inventory model is developed for deteriorating items for a system that operates exactly for m(m?2) scheduling periods. Deterioration is assumed to be a constant fraction of the on hand inventory; and demand x_n in nth period is assumed to be instantaneous immediately after the nth decision regarding the order-level S_n has been made at the beginning of the nth period (n = 1,2,…,m) the x_n being mutually independent. An example is given to illustrate the model.