Hierarchical production controls in a stochastic two-machine flowshop with a finite internal buffer

摘要: This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. The produces single product, whose rate demand over time is given be constant. problem formulated as continuous-time dynamic programming which the objective minimize cost production, inventories, backlogs. size buffer between assumed finite. As rates change machines' states approach infinity, results limiting stochastic machine capacity replaced by average capacity. value function for original shown converge problem. Both open-loop feedback controls constructed from near-optimal way guarantees their optimality changes become large comparison discount rate. convergence together error estimate optimal obtained. In addition, control compared Kanban policy two-machine flowshop.