Model of stochastic optimization of inventory level of spare parts for equipment's park

The model of stochastic optimization of inventory level of nonrenewable spare parts for unreliable industrial equipment is studied. The processes of equipment’s work, its failures/renewals, and supply of spare parts are described in the terms of Markov drift process. For manufacturing system “equipment park (production line) – warehouse for final product storage” the problem of optimum lot size of spare parts finding is formulated and analyzed (in steady-state regime).