Restricted Repetitive Sampling in Designing of Control Charts

Muhammad Anwar Mughal, Muhammad Azam, Muhammad Aslam

Abstract


In this article a criteria have been defined to classify the existing repetitive sampling into soft, moderate and strict conditions. Behind this division a ratio has been suggested i.e. c2 (constant used in repetitive limits) to c1(constant used in control limit) in slabs. A restricted criterion has been devised on the existing repetitive sampling. By embedding the proposed schematic in the control chart it becomes highly efficient in detecting the shifts quite earlier as well as it detects even smaller shifts at smaller ARLs. To facilitate the user for best choice the restricted criterion has further categorized to softly restricted, moderately restricted and strictly restricted. The restricted conditions are dependent on value of restriction parameter ’m’ varies 2 to 6. The application of proposed scheme on selected cases is given in tables which are self explanatory.

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DOI: http://dx.doi.org/10.18187/pjsor.v13i2.1571

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Title

Restricted Repetitive Sampling in Designing of Control Charts

Keywords


Description

In this article a criteria have been defined to classify the existing repetitive sampling into soft, moderate and strict conditions. Behind this division a ratio has been suggested i.e. c2 (constant used in repetitive limits) to c1(constant used in control limit) in slabs. A restricted criterion has been devised on the existing repetitive sampling. By embedding the proposed schematic in the control chart it becomes highly efficient in detecting the shifts quite earlier as well as it detects even smaller shifts at smaller ARLs. To facilitate the user for best choice the restricted criterion has further categorized to softly restricted, moderately restricted and strictly restricted. The restricted conditions are dependent on value of restriction parameter ’m’ varies 2 to 6. The application of proposed scheme on selected cases is given in tables which are self explanatory.

Date

2017-06-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 2, 2017



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810