Two double sampling T 2 charts are discussed. They only differ in how the second sample is used to suggest to the practitioner the state of the process. An optimal method using a genetic algorithm is given for designing these charts based on the average run length of the (ARL). An analytical method is used to determine run length performance of the chart. Comparisons are made with various other...

This paper proposes a multi-objective model for the economic-statistical design of the variable sample size and sampling interval multivariate exponentially weighted moving average control chart by using double warning lines. The Markov chain approach is used to obtain the statistical properties. We extend the Lorenzen and Vance cost function considering multiple assignable causes and multivari...

The CCC-r chart is developed based on cumulative count of a conforming (CCC) control chart that considers the cumulative number of items inspected until observing r nonconforming ones. Typically, the samples obtained from the process are analyzed through 100% inspection to exploit the CCC-r chart. However, considering the inspection cost and time would limit its implementation. In this paper, w...

The primary aim of this research is to propose a revised triple sampling (TS) X¯ chart, where the derivations new formulae for computing average run length chart correctly are provided. secondary develop TS with estimated process parameters. charts compared double (DS) X¯, two stage adaptive sample size (AS2) and three (AS3) when parameters known using (ARL), number observations signal (ANOS), ...

In high quality industrial processes, the control chart is design based on cumulative count of conforming (CCC) items is very useful. In this paper, the performance of CCC-r chart with variable sampling intervals (CCC-rVSI chart) in the presence ofinspectionerrors isinvestigated. The efficiency of CCC-rVSI chart is compared with CCC-r chart with fixed sampling interval (CC...

This paper studies an attribute control chart for monitoring the number of nonconforming items using a triple sampling (TS-np) which has not yet been applied to charts. The design and procedure decision about state process are given. Mathematical expressions average run length (ARL) in-control out-of-control processes sample (ASN) A bi-objective genetic algorithm that seeks minimize ASN probabi...