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This paper examines the binning of two types of parts with random characteristics, so that a componentwise monotonic evaluation criterion exhibits a minimum deviation to a given target value over all possible realizations. The optimal matching classes are balanced in the sense that the maximum error needs to be the same over all matching classes. This condition allows for a complete solution of the minimum-error matching-class design problem in closed form.
Andreas Peter Burg, Yifei Shen, Yuqing Ren, Hassan Harb