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Cost optimization of acceptance sampling plan in a fuzzy supply chain environment

Julia T. Thomas (Department of Mathematics, National Institute of Technology, Calicut, India)
Mahesh Kumar (Department of Mathematics, National Institute of Technology, Calicut, India)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 14 September 2023

Issue publication date: 15 February 2024

72

Abstract

Purpose

The purpose of the paper is set to minimize the total cost of a manufacturing system when an acceptance sampling plan (ASP) is carried out in a fuzzy environment.

Design/methodology/approach

A fuzzy acceptance sampling plan (FASP) is employed for the inspection of the batch of products and a fuzzy cost optimization problem is formulated.

Findings

The extent of uncertainty determines an interval for the total cost function with upper and lower bounds. The effect of variation in the ambiguity of the proportion of defectives in the probability of acceptance is determined.

Practical implications

The proposed model is specifically designed for production and supply units with ASP for attributes. Still, the proportion of defectives in the inspection process is fuzzy.

Originality/value

Fuzzy probability distribution is used to model an optimal inspection plan for a general supply chain. Economic design of supply chain under fuzzy proportion of defectives is discussed for the first time.

Keywords

Acknowledgements

The authors would like to thank the editor and referees for their helpful comments which improved the quality of the presentation of the paper. The first author likes to thank CSIR, Government of India for extending financial support (No: 09/874 (0039)/2019-EMR-I). The authors also wish to thank DST, Government of India, for extending the computational laboratory support under the DST-FIST project (No: SR/FST/MS-1/2019/40) of the Department of Mathematics, NIT Calicut, India.

Citation

Thomas, J.T. and Kumar, M. (2024), "Cost optimization of acceptance sampling plan in a fuzzy supply chain environment", International Journal of Quality & Reliability Management, Vol. 41 No. 3, pp. 901-914. https://doi.org/10.1108/IJQRM-03-2023-0076

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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