Multivariate extensions to cumulative sum control charts


Runger G., Testik M.

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, cilt.20, ss.587-606, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 20 Konu: 6
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1002/qre.571
  • Dergi Adı: QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
  • Sayfa Sayısı: ss.587-606

Özet

There are several multivariate extensions to the venerable cumulative sum (CUSUM) chart. This work provides a comparison of the advantages and disadvantages of each, as well as performance evaluations and a description of their interrelationships. A new derivation is also provided. Extensive simulation results that include initial and steady-state conditions are presented. Geometric descriptions are used, and names are proposed based on these geometric characteristics. As several of the key steps in the development of a multivariate extension to a CUSUM also appear in the construction of a two-sided CUSUM, some approaches to a two-sided CUSUM are also summarized. Copyright (C) 2004 John Wiley Sons, Ltd.