A simulated single-item aggregate inventory model for U.S. Navy repairable items
Maher, Kevin J.
McMasters, Alan W.
Hartman, Douglas M.
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A readiness-based sparing (RBS) model for the repair and replenishment of repairable items is needed by the Navy which considers the aggregate inventory of repaired units and new ones. This thesis presents progress in the development of such a model. In contrast to other such current repairables models in the literature, it also allows for both batch repair and procurement. A theoretical model had been developed earlier at the Naval Postgraduate School for the probability distribution of inventory position for such a model. However, no theoretical model has yet been developed for the probability distribution of net inventory because the real-world inventory management of repairables is quite complex. Therefore, a simulation model was developed of the Navy's repairables management process to explore the nature of that distribution as a function of relevant system parameters. It was then run for a range of values of a subset of those parameters. The net inventory distribution appears to be Normally distributed with its mean and variance being a linear function of the product of carcass return rate and repair survival rate. The theoretical distribution for inventory opposition was not only validated, it was found to be quite robust. Further analyses, however, are required before the affects of all relevant parameters are well understood.
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