Generalized Performance Measures of X- Control Charts Based on Different Sampling Schemes

Different versions of X- control chart structure are available under various ranked set strategies. In these control charts, computation of performance measures was carried out through Monte Carlo simulation method (MCSM). In this article, we have defined a generalized structure of X- control charts...

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Bibliographic Details
Main Authors: Rashid Mehmood, Muhammed Hisyam Lee, Muhammad Riaz, Iftikhar Ali
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/5269357
Description
Summary:Different versions of X- control chart structure are available under various ranked set strategies. In these control charts, computation of performance measures was carried out through Monte Carlo simulation method (MCSM). In this article, we have defined a generalized structure of X- control charts under variant sampling strategies followed by derivation of their different performance measures. For the derivation of different performance measures, we have proposed pivotal quantity. For comparative analysis, we have presented results of generalized performance measures by involving numerical method (NM) as computation. We found that values of generalized performance measures based on NM are almost similar to values of performance measures based on MCSM. Also, NM is time efficient and can be considered as an alternative of MCSM.
ISSN:1687-952X
1687-9538