The drilling problem: A stochastic modeling and control example in manufacturing. (English) Zbl 0629.93059
The authors begin by formulating a manufacturing problem called the “drilling problem” - one which features certain elements of traditional machining economics problems in an intelligent manufacturing setting. Two types of policies are then considered: (i) the traditional age replacement policy and (ii) the one-step feedback policy. A diffusion- threshold stochastic model, new in this setting, is introduced and compared to a Taylor tool life formula. The new model in fact allows the drilling problem to be formulated as a stochastic optimal control problem. A numerical example is supplied.
Reviewer: A.Dale
MSC:
93E03 | Stochastic systems in control theory (general) |
90B30 | Production models |
93E20 | Optimal stochastic control |
90B50 | Management decision making, including multiple objectives |
93C95 | Application models in control theory |