Synthetic double sampling np control chart for attributes |
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| Affiliation: | 1. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia;2. Lunam Université, Université de Nantes, IRCCyN UMR CNRS 6597, Nantes, France;1. Production Department, São Paulo State University (UNESP), Guaratinguetá, SP, Brazil;2. Chair of Statistics, Military Academy of Agulhas Negras (AMAN), Resende, RJ, Brazil;1. Department of Statistics at Agulhas Negras Military Academy (AMAN), Resende, RJ, Brazil;2. Production Department, São Paulo State University (UNESP), Guaratinguetá, SP, Brazil;1. College of Ecology, Lishui University, Lishui 323000, China;2. Jinhua Municipal Central Hospital, Jinhua 321000, China;3. College of Pharmaceutical Sciences, Zhejiang University, Hangzhou 310058, China;1. School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, 62200 Putrajaya, Malaysia;2. Department of Physical and Mathematical Sciences, Faculty of Science, Universiti Tunku Abdul Rahman, 31900 Kampar, Perak, Malaysia;3. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;4. Université de Nantes & LS2N UMR 6004, Nantes, France;5. Department of Operations and Management Information Systems, Faculty of Business and Accountancy, Universiti Malaya, 50603 Kuala Lumpur, Malaysia;1. Instituto de Estadística, Universidad Nacional de Córdoba, Avda. Valparaiso S/N, Córdoba, CP 5000, Argentina;2. Laboratorio de Ingeniería y Mantenimiento Industrial, Universidad Nacional de Córdoba, Avda. Vélez Sarsfield 1611, CP 5000, Argentina;3. Dpto. Estatística, Imecc/UNICAMP, Barao Geraldo 13083-859, Campinas-SP, Brazil |
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| Abstract: | The quality of a product, based on the number of non-conforming items can be controlled using the np chart. This paper proposes a synthetic double sampling (DS) np chart which comprises two sub-charts, i.e. the DS np and conforming run length (CRL) sub-charts. For the zero-state case, the synthetic DS np chart surpasses its standard counterpart, i.e. the synthetic np and the basic DS np chart, and other np type charts like the standard np, combined synthetic and np (Syn-np), variable sample size (VSS) np, exponentially weighted moving average (EWMA) np and cumulative sum (CUSUM) np charts, for detecting increases in the fraction of non-conforming items p, for most shift sizes. The synthetic DS np chart also performs reasonably well in the steady-state case in comparison with other charts mentioned above. Thus, among the competing charts, the synthetic DS np chart stands out as one of the best charts. |
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| Keywords: | Double sampling control chart Synthetic control chart Average run length Conforming run length Non-conforming Optimal design |
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