Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag

Authors

  • Katsuhiro Shirono National Metrology Institute of Japan(NMIJ), National Institute of Advanced Science and Technology(AIST)
  • Hideyuki Tanaka National Metrology Institute of Japan(NMIJ), National Institute of Advanced Science and Technology(AIST)
  • Masanori Shiro National Metrology Institute of Japan(NMIJ), National Institute of Advanced Science and Technology(AIST)
  • Kensei Ehara National Metrology Institute of Japan(NMIJ), National Institute of Advanced Science and Technology(AIST)

DOI:

https://doi.org/10.21014/acta_imeko.v2i2.77

Abstract

Taguchi's online quality control aims at the optimization of the checking interval and adjustment limit of a process from the economic point of view. (The checking interval corresponds to the calibration interval for the control of a measuring device.) The present study provides a mathematical formalism and an efficient computation method to take adjustment uncertainty and time lag into consideration in the optimization of a random-walking property. In cases where either the checking cost or the adjustment cost is free, the approximate analytical solution is given. Qualitatively, a larger uncertainty of adjustment derives a shorter optimized checking interval and a larger adjustment limit. On the other hand, a larger time lag derives a smaller checking interval and adjustment limit. Information of approximate equations and a data set (CSV) useful for efficient computation is provided.

ACTA IMEKO Vol 2 No 2 (2013)

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Published

2014-01-15

Issue

Vol. 2 No. 2 (2013)

Section

Research Papers

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