Some side sensitive group runs based control charts to detect shifts in the process median

Abstract

In this article, we propose two nonparametric side sensitive group runs based univariate control charts to detect shifts in the process median using sample based “transition probability matrix” (tpm) namely “Nonparametric Corrected Sample based Side Sensitive Synthetic” (N-CS-SSS) and “Nonparametric Sample based Side Sensitive Group Runs” (N-S-SSGR) control charts respectively. We study the zero state and the steady state ATS performance of the proposed two charts. It is observed that, N-S-SSGR chart performs better than that of the “Nonparametric Sample based two sided Synthetic” (N-S-Syn), N-CS-SSS and “Nonparametric Sample based two sided Group Runs” (N-S-GR) charts.

KEYWORDS:

• Side sensitive synthetic control chart
• Transition probability matrix
• Zero state
• Steady state
• Conforming run length

Additional information

Funding

Board of College and University Development (# 15SCI001460), Savitribai Phule Pune University.