LOT-SIZING MODELS FOR DETERIORATING ITEMS WITH TIME-DEPENDENT DEMAND

This paper presents a general Formulation of the inventory lot-sizing problem with deteriorating items and continuous time-dependent demand. Three distributions of the time to deterioration are analysed as spec ial cases. These are the Erlang, uniform, and exponential distribution s. For the case of constant deterioration, an efficient iterative proc edure is developed to provide the optimal replenishment schecule. Nume rical examples are included to illustrate the general formulation and the proposed solution procedure. The results of these examples indicat e that similar replenishment schedules are obtained for the three dist ributions with equal expected value.