Optimal Repetitive Acceptance Sampling Inspection Plans by Attributes Based on Type I Censoring Using Two-point and Limited Weighted Methods

naghizadeh qomi, mehran; Mahdizadeh, Zohre

doi:10.61186/jss.19.1.5

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Optimal Repetitive Acceptance Sampling Inspection Plans by Attributes Based on Type I Censoring Using Two-point and Limited Weighted Methods

Mehran Naghizadeh qomi ^*

, Zohre Mahdizadeh

Abstract: (371 Views)

This paper investigates repetitive acceptance sampling inspection plans of lots based on type I censoring when the lifetime has a Tsallis q-exponential distribution. A repetitive acceptance sampling inspection plan is introduced, and its components, along with the optimal average sample number and the operating characteristic value of the plan, are calculated under the specified values for the parameter of distribution and consumer's and producer's risks using a nonlinear programming optimization problem. Comparing the results of the proposed repetitive acceptance sampling plan with the optimal single sampling inspection plan demonstrates the efficiency of the repetitive acceptance sampling plan over the single sampling plan. Moreover, repetitive sampling plans with a limited linear combination of risks are introduced and compared with the existing plan. Results of the introduced plan in tables and figures show that this plan has a lower ASN and, therefore, more efficiency than the existing design. A practical example in the textile industry is used to apply the proposed schemes.

Keywords: Nonlinear programming, Operating characteristic function‎, ‎Tsallis q-exponential distribution‎, ‎Repetitive acceptance sampling inspection plan, Consumer's and producer's risks.

Full-Text [PDF 391 kb] (269 Downloads)

Type of Study: Applied | Subject: Applied Statistics
Received: 2024/11/18 | Accepted: 2024/08/31

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