Hierarchical Production Control in a StochasticManufacturing System with Long - Run Average Cost 1
نویسندگان
چکیده
This paper presents an asymptotic analysis of a stochastic manufaturing system consisting of parallel machines subject to breakdown and repair and facing a constant demand, as the rates of change of the machine states approach in nity. This situation gives rise to a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. The long-run average cost for the original problem converges to the long-run average cost of the limiting problem. Open-loop and feedback controls for the original problem are constructed from optimal controls of the limiting problem in a way that guarantees their asymptotic optimlity. The convergence rate of the long-run average cost for the original problem to that of the limiting problem is established. This helps in providing an error estimate for the constructed open-loop asymptotic optimal control.
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