For the design and optimization of multistage assembly processes, a computationally cheap mathematical model that links design parameters with the final product dimensional quality is highly desirable. We propose a systematic approach to building a surrogate model of simulations of multistage assembly processes. At the heart of this approach is a multiple-input-multiple-output surrogate modelin...

We consider multistage decision processes where criterion function is an expectation of minimum function. We formulate them as Markov decision processes with imbedded parameters. The policy depends upon a history including past imbedded parameters, and the rewards at each stage are random and depend upon current state, action and a next state. We then give an optimality equation by using operat...

The combination of feedforward control and programmable tooling has emerged as a promising method to reduce product variation in multistage manufacturing systems. Feedforward control allows compensation of deviations on a part-by-part basis using programmable tooling. This paper addresses the problem of designing an optimal feedforward control law that improves quality. The controller design in...

In this paper, the general linear profile-monitoring problem in multistage processes is addressed. An approach based on the U statistic is first proposed to remove the effect of the cascade property in multistage processes. Then, the 2 T chart and an LRT-based scheme on the adjusted parameters are constructed for Phase-I monitoring of the parameters of general linear profiles in each stage. Usi...

This paper will consider a multiobjective, multistage discrete dynamic process with a changeable, state-dependent hierarchy of stage criteria determined by the decision maker. The goal of this paper is to answer the question of how to control a multistage process while taking into account both the tendency to achieve multiobjective optimization of the entire process and the time-varying hierarc...

The developers of high aspect ratio components aim to minimize the processing stages in deep drawing processes. This study elucidates the application of microridge punches in multistage deep drawing processes. A microridge punch improves drawing performance, thereby reducing the number of stages required in deep forming processes. As an example, the original eight-stage deep forming process for...