We deviate from the Berman et al. models in inventory with positive service time. We establish a necessary and sufficient condition for system stability. Several performance measures are computed. An optimisation problem is discussed. Our analysis suggests that it is optimal to place the replenishment order when the inventory level is positive (even in the zero lead time case). Numerical illust...

Uncertain demand combined with a positive lead time for adding capacity creates the risk of capacity shortage during the lead time. Accurate shortage estimation is very important to determine a capacity expansion policy. In this paper, we investigate four kinds of option pricing methods to estimate the shortage during a fixed lead time under the assumption of an exponential trend for demand gro...

We study the impact of the efforts aimed at reducing the lead-time variability in a quality-adjusted stochastic inventory model. We assume that each lot contains a random number of defective units. More specifically, a logarithmic investment function is used that allows investment to be made to reduce lead-time variability. Explicit results for the optimal values of decision variables as well a...