Matching via majorization for consistency of product quality. Issue 4 (1st October 2016)

• Record Type: Journal Article
• Authors: Cui, Lirong; Kong, Dejing; Li, Haijun
• Is Part Of: Quality technology & quantitative management. Volume 13:Issue 4(2016)
• Page Start: 439
• Page End: 452
• Publication Date: 2016-10-01
• Subjects: Invariant optimal solutions -- matching pattern -- majorization -- Schur-convexity -- Kantorovich cost function; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2016.1191142
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract : A new matching method is introduced in this paper to match attributes of parts in order to ensure consistent quality of products that are assembled from matched parts. The method yields invariant optimal matching that depends only on ranking of attributes of assembling parts, where the optimal matching criteria consist of a large class of metrics, including the Kantorovich cost function for matched pairs. Our method is non-parametric and based on the theory of majorization that reinforces a general rank-invariant matching strategy that 'small matches with small and large matches with large' for variance reduction. Using this majorization-based matching method, several specific multi-part matching problems are investigated in order to illustrate its wide applicability in quality assurance.