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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
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