Modern production methods demand the synchronous multicharacteristic optimization of goods. There is a need to diversify a\r\nbasic product to the importance placed on its individual quality components by a wide spectrum of concerned customers. This\r\nwork shows how the super-ranking concept may be utilized taking into account relative weights among the implicated responses.\r\nThe theoretical development is focused on the difficult situation where the optimization is attempted through unreplicated and\r\nsaturated fractional factorial designs. A nested super-ranking scheme is devised to accommodate a dual weight assignment,\r\nfirst by setting up a single consolidated response per implicated customer and then, in a subsequent step, by incorporating a\r\ncustomer importance rating thus rendering an overall single master response. A demonstration of the proposed method on a\r\npragmatic problem arising in aluminum milling involves optimization due to seven controlling factors concurrently influencing\r\nnine product responses modulated by six preference ratings set by a given customer base, respectively. Key benefits of this method\r\nare the offered ease of intermixing numerical and categorical data in mainstream multiresponse optimization problems, and\r\nkeeping customer preferences in perspective through economical, short-cycle screening while relaxing stringent data normality\r\nand possible multidistributional effects among the implicated quality characteristics.
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