Publication

Minimum-Error Classes for Matching Parts

Thomas Alois Weber
2021
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/7cb4ccc0-10f5-46cc-9c5a-1e4d90324ade

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Thomas Alois Weber
2021
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/7cb4ccc0-10f5-46cc-9c5a-1e4d90324ade

About this result

Related concepts (32)

Error correction code

In computing, telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels. The central idea is that the sender encodes the message in a redundant way, most often by using an error correction code or error correcting code (ECC). The redundancy allows the receiver not only to detect errors that may occur anywhere in the message, but often to correct a limited number of errors.

NP-completeness

In computational complexity theory, a problem is NP-complete when: It is a decision problem, meaning that for any input to the problem, the output is either "yes" or "no". When the answer is "yes", this can be demonstrated through the existence of a short (polynomial length) solution. The correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by trying all possible solutions.

Matching (graph theory)

In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In other words, a subset of the edges is a matching if each vertex appears in at most one edge of that matching. Finding a matching in a bipartite graph can be treated as a network flow problem. Given a graph G = (V, E), a matching M in G is a set of pairwise non-adjacent edges, none of which are loops; that is, no two edges share common vertices.

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