Estimation of AQL, LQL and Quality Regions for Group Chain Sampling Plan with Binomial Distribution
Keywords:
Acceptance sampling, consumer’s risk, producer’s risk, proportion of defective, probability of lot acceptanceAbstract
Acceptance sampling is a technique for ensuring that both producers and consumers are satisfied with the quality of a product. This paper considers a group chain sampling plan (GChSP) using the binomial distribution. The probability of lot acceptance, is determined by satisfying the producer’s and consumer's risks under the specified design parameters. This paper proves that the proportion of defective decreases when the value of design parameters such as and increase. In this paper for specified values of producer’s and consumer’s risks, four different quality regions are estimated. The findings suggest that for the same values of design parameters the GChSP gives less proportion of defectives than the existing Bayesian group chain sampling plan (BGChSP). Therefore, the GChSP is better equipped for lot inspection in the manufacturing industry, especially those involved with destructive testing of high-quality products.
References
Aslam M, Jun CH. A group acceptance sampling plan for truncated life test having Weibull distribution. J Appl Stat. 2009; 36(9): 1021-1027.
Aslam M, Jun CH, Lio YL, Ahmad M. Group acceptance sampling plans for the generalized Rayleigh distribution. Int J Intell Tech Appl Stat. 2011; 4(3): 355-365.
Aziz N, Busu TN, Ramli NA, Zain Z, Hafeez W. New group chain acceptance sampling plan for Marshall-Olkin Extended Lomax (MOEL) distribution. In AIP Conference Proceedings 2022; 2472(1), 50003, https://doi.org/10.1063/5.0092649.
Aziz N, Ni TV, Yi CY, Zain Z, Hafeez W. Two sided group chain acceptance sampling plan (TSGChSP) for Marshall Olkin Extended Lomax (MOEL) distribution. In AIP Conference Proceedings 2022; 2472(1), 50002, https://doi.org/10.1063/5.0092648.
Dodge HF. Chain sampling plan. Ind Qual Cont. 1955; 11: 10-13.
Dodge HF, Romig HG. Single sampling and double sampling inspection tables. The Bell Syst Tech J. 1941; 20(1): 1-61.
Dobbah SA, Aslam M, Khan K. Design of a new synthetic acceptance sampling plan. Symmetry. 2018; 10(11): 653, https://doi.org/10.3390/sym10110653.
Epstein B. Truncated life tests in the exponential case. Ann Math Stat. 1954; 25(1): 555-564.
Hafeez W, Aziz N. Bayesian group chain sampling plan based on beta binomial distribution through quality region. Int J Supply Chain Manag. 2019; 8(6): 1175-1180.
Hafeez W, Aziz N. Bayesian two-sided complete group chain sampling plan for binomial distribution using beta prior through quality regions. J Inf Commun Technol. 2022a; 21(1): 51-69.
Hafeez W, Aziz N. Bayesian two-sided group chain sampling plan for beta binomial distribution under quality regions. Int J Qual Reliab Man. 2022b; 39(10): 2424-2437.
Hafeez W, Aziz N, Zain Z, Kamarudin NA. Bayesian group chain sampling plan for Poisson distribution with gamma prior. Comput Mater Contin. 2022a; 70(2): 3891-3902.
Hafeez W, Aziz N, Zain Z, Kamarudin NA. Designing bayesian new group chain sampling plan for quality regions. Comput Mater Contin. 2022b; 70(2): 4185-4198.
Montgomery DC. Statistical quality control: a modern introduction. Arizona: John Wiley & Sons; 2009.
Mughal AR. A family of group chain acceptance sampling plans based on truncated life test. Ph.D. thesis, Universiti Utara Malaysia. 2018.
Ramaswamy ARS, Jayasri S. Time truncated chain sampling plans for generalized Rayleigh distribution. Int Ref J Eng Sci. 2014; 3(2): 49-53.
Ramaswamy ARS, Jayasri S. Time truncated modified chain sampling plans for selected distribution. Int J Res Eng Sci. 2015; 3(3): 1-18.
Sankar SR, Jeganathan M. Comparison of double sampling plan with single sampling plan in supply chain management system a simulation study. Int J Adv Sci Res Manag. 2019; 4(5): 34-39.
Walpole RE, Myers RH, Myers SL, Ye, K. Probability and statistics for engineers and scientists. Vol. 8, New York: Macmillan; 2007.
Teh MAP, Aziz N, Zain Z. A new method in designing group chain acceptance sampling plans (GChSP) for generalized exponential distribution. Int J Qual Reliab Man. 2021; 38(5): 1116-1129.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.