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We study a repairable inventory system dedicated to a single component thatis critical in operating a capital good. The system consists of a stock pointcontaining spare components, and a dedicated repair shop responsible forrepairing damaged components. Components are replaced using an age-replacementstrategy, which sends components to the repair shop either preventively if itreaches the age-threshold, and correctively otherwise. Damaged components arereplaced by new ones if there are spare components available, otherwise thecapital good is inoperable. If there is free capacity in the repair shop, thenthe repair of the damaged component immediately starts, otherwise it is queued.The manager decides on the number of repairables in the system, theage-threshold, and the capacity of the repair shop. There is an inherenttrade-off: A low (high) age-threshold reduces (increases) the probability of acorrective replacement but increases (decreases) the demand for repaircapacity, and a high (low) number of repairables in the system leads to higher(lower) holding costs, but decreases (increases) the probability of downtime.We first show that the single capital good setting can be modelled as a closedqueuing network with finite population, which we show is equivalent to a singlequeue with fixed capacity and state-dependent arrivals. For this queue, wederive closed-form expressions for the steady-state distribution. Wesubsequently use these results to approximate performance measures for thesetting with multiple capital goods.

Dedicated maintenance and repair shop control for spare parts networks