Manufacturing processes, in general, consist of a series of dependent processes, where the output from one sub-process serves as the input for the succeeding sub-process. When each sub-processes stage generates a differing percentage of defectives, it is often advantageous to have a screening process between certain appropriate individual sub-processes. The most favorable position of the screening process may vary according to the cost of added parts or material at each process, the occurrence percentage of defective at each process, screening cost, and the selling price of the product. It may also depend on whether the overall process is in a state of "excessive capacity" (when the manufacturing capacity exceeds the demand for the products), or, on the contrary, in a state of "excessive demand" (when manufacturing capacity is exceeded by the demand for the product). This paper is concerned with the optimal number and position of screening processes, with respect to maximum profit, in terms of a profit function which covers the total manufacturing process as a system, particularly when the overall manufacturing process is in a state of "excessive capacity".
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