A method for deriving integral equations useful in control chart performance analysis

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 3, 2001, Pages 2089-2101

  Champ, Charles W ^a   Rigdon, Steven E ^a   Scharnagl, Kenneth A ^a  

^a Department of Mathematics ^*

Author keywords

Average run length; Control chart; Cumulative sum; CUSUM; Integral equation

Indexed keywords

PROCESS CONTROL;

AVERAGE RUN LENGTH (ARL); CONTROL CHART; CUMULATIVE SUM;

INTEGRAL EQUATIONS;

EID: 0035423636     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00335-2     Document Type: Conference Paper

References (14)

1. An approach to the probability distribution of CUSUM run length
2. A comparison of the Markov chain and the integral equation approaches for evaluating the run length distribution of quality control charts
3. A generalized control chart procedure
4. Fast initial response for CUSUM quality control schemes
5. Continuous inspection schemes
6. An integral equation for the in-control average run length of a multivariate exponentially weighted moving average control chart
7. A double-integral equation for the average run length of a multivariate EWMA control chart
8. Control chart tests based on geometric moving averages
9. Steady-state-optimal adaptive control charts based on variable sampling intervals, stochastic analysis and applications
10. Control charts applying a general sequential test at each sampling point
11. The distribution of the run length of one-sided CUSUM procedures for continuous random variables