Design of double acceptance sampling plan for Weibull distribution under indeterminacy

Ali Hussein AL-Marshadi; Muhammad Aslam; Abdullah Alharbey; Ali Hussein AL-Marshadi; Muhammad Aslam; Abdullah Alharbey

doi:10.3934/math.2023672

AIMS Mathematics

2023, Volume 8, Issue 6: 13294-13305. doi: 10.3934/math.2023672

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Design of double acceptance sampling plan for Weibull distribution under indeterminacy

Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia

Received: 18 December 2022 Revised: 16 March 2023 Accepted: 23 March 2023 Published: 04 April 2023
MSC : 62A86

This paper addresses neutrosophic statistics that will be used to design a double- acceptance sampling plan. We will design the sampling plans when the lifetime of the product follows the neutrosophic Weibull distribution. The plan parameters of the proposed double sampling plan will be determined using nonlinear optimization at various indeterminacy values and parameters. The productivity of the double sampling plan using neutrosophic statistics over the sampling plan under classical statistics will be given. The presentation of the proposed double sampling plan will be given with the help of industrial data.
- sampling plan,
- uncertainty,
- indeterminacy,
- inspection,
- classical statistics
Citation: Ali Hussein AL-Marshadi, Muhammad Aslam, Abdullah Alharbey. Design of double acceptance sampling plan for Weibull distribution under indeterminacy[J]. AIMS Mathematics, 2023, 8(6): 13294-13305. doi: 10.3934/math.2023672

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Abstract

This paper addresses neutrosophic statistics that will be used to design a double- acceptance sampling plan. We will design the sampling plans when the lifetime of the product follows the neutrosophic Weibull distribution. The plan parameters of the proposed double sampling plan will be determined using nonlinear optimization at various indeterminacy values and parameters. The productivity of the double sampling plan using neutrosophic statistics over the sampling plan under classical statistics will be given. The presentation of the proposed double sampling plan will be given with the help of industrial data.

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