An optimal stochastic production planning problem with randomly fluctuating dem and
SIAM Journal on Control and Optimization
Turnpike sets and their analysis in stochastic production planning problems
Mathematics of Operations Research
Hierarchical decision making in stochastic manufacturing systems
Hierarchical decision making in stochastic manufacturing systems
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We study the ergodic control problem related to stochastic production planning in a single product manufacturing system with production constraints. The existence of a solution to the corresponding Hamilton-Jacobi-Bellman equation and its properties are shown. Furthermore, the optimal control for the ergodic control problem and an example are given.