We develop a method for obtaining approximate steady-state probabilities for large multi-echelon reparable item inventory systems modeled as non-Jacksonian Markovian networks with finite state space. The approximation involves decomposing the network model into smaller overlapping local...

Several models are developed for the evaluation of replenishment policies for an inventory of repair kits used by a system subject to both repairable and nonrepairable failures. At the time of a repairable failure, a repair kit is removed from inventory and used to renew the system....

In this paper we examine several models for systems subject to both repairable and nonrepairable failures. A repairable failure can be remedied by the application of a repair kit (spare part, standby system, etc.), whereas a nonrepairable failure terminates the life of the system. The stochastic...

The overflow stream from an M/PH/1 queue of finite capacity is used as the input to an unbounded queue with one or more exponential servers. It is shown that the combined system, consisting of the two queues, may be studied as a highly structured Markov process. In the stable case, this Markov...