A time truncated new group chain sampling plan based on log-logistic distribution

Shazlyn Milleana Shaharudin

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Type :	article
Subject :	Q Science (General)
ISSN :	2332-2071
Main Author :	Shazlyn Milleana Shaharudin
Title :	A time truncated new group chain sampling plan based on log-logistic distribution

Place of Production :	Tanjung Malim
Publisher :	Fakulti Sains dan Matematik
Year of Publication :	2023
Notes :	Mathematics and Statistics
Corporate Name :	Universiti Pendidikan Sultan Idris
HTTP Link :	Click to view web link

Abstract : Universiti Pendidikan Sultan Idris

The acceptance sampling is a technique for ensuring that both producers and consumers are satisfied with the product's quality. This paper proposes a new group chain sampling plan (NGChSP) using Log-logistic distribution when the life test is truncated at a predetermined time. The minimum number of groups, g and the probability of lot acceptance, L(p) are determined through satisfying the consumer's risk, ? under the specified design parameter. This paper shows that the minimum number of groups, g decreases when the value of design parameters such as ?, a, i and r increases. With the same design parameters, the minimum g increases when the shape parameter increases. Moreover, the L(p) increases as shape parameter and minimum g increases. An illustrative example for NGChSP is provided. The findings suggest that as the test time termination constant decreases, the minimum g increases. Furthermore, as the mean ratio, 0 increases, the L(p) increases as well. In 1 comparison to GChSP, the NGChSP requires a smaller number of groups, indicating that using the NGChSP for inspection will contribute to lower inspection time and costs. The NGChSP provides a higher probability of lot acceptance than GChSP. This paper concludes that the NGChSP performed better than the GChSP. Therefore, the NGChSP is better equipped for lot inspection in the manufacturing industry. 2023 by authors, all rights reserved.

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