Minimum-error classes for matching parts

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. (c) 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).