An One-for-One Ordering Inventory Policy with Poisson Demands and Losses with Order Dependent Leadtimes

An One-for-One Ordering Inventory Policy with Poisson Demands and Losses with Order Dependent Leadtimes

A stochastic model for an inventory system in which depletion of stock takes place due to random demand as well as random loss of items is studied under the assumption that the intervals between cussessive unit demands as well as those between cussessive unit losses, are independently and identically distributed random variables having negative exponential distributions with respective parameters .mu. and .lambda. It is further assumed that leadtime for each order is an outstanding-order-dependent random variable. The steady state probability distribution of the net inventory level is derived under the continuous review (S -1, S) inventory policy, from which the total expected coast expression is formulated.