Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution

Tripathi, Harsh; Dey, Sanku; Saha, Mahendra

doi:10.1080/02664763.2020.1759031

Cited by 22 publications

(3 citation statements)

References 21 publications

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“…Recently, the similar argument of truncated mean lifetime test are studied for Birnbaum-Saunders and Weibull distributions by Aslam et al (2021) and for inverse log-logistic distribution by Tripathi et al (2021). Besides, Chen and Chou (2021) developed a variable SP to measure the process characteristics in a continuous scale while consumer's quality is protected.…”

Section: Literature Reviewmentioning

confidence: 99%

A multiphase acceptance sampling model by attributes to investigate the production interruptions in batch production within tobacco industry

Yüksel

Kazançoğlu

Sarma

2021

IJQRM

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PurposeThis paper aims to create a new decision-making procedure that uses “Lot-by-Lot Acceptance Sampling Plan by Attributes” methodology in the production processes when any production interruption is observed in tobacco industry, which is a significant example of batch production.Design/methodology/approachBased on the fish bone diagram, the reasons of the production interruptions are categorized, then Lot-by-Lot Acceptance Sampling Plan by Attributes is studied to overcome the reasons of the production interruptions. Furthermore, managerial aspects of decision making are not ignored and hence, acceptance sampling models are determined by an Analytical Hierarchy Process (AHP) among the alternative acceptance sampling models.FindingsA three-phased acceptance sampling model is generated for determination of the reasons of production interruptions. Hence, the necessary actions are provided according to the results of the proposed acceptance sampling model. Initially, 729 alternative acceptance sampling models are found and 38 of them are chosen by relaxation. Then, five acceptance sampling models are determined by AHP.Practical implicationsThe current experience dependent decision mechanism is suggested to be replaced by the proposed acceptance sampling model which is based on both statistical and managerial decision-making procedure.Originality/valueAcceptance sampling plans are considered as a decision-making procedure for various cases in production processes. However, to the best of our knowledge Lot-by-Lot Acceptance Sampling Plan by Attributes has not been considered as a decision-making procedure for batch production when any production interruption is investigated.

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Section: Literature Reviewmentioning

confidence: 99%

A multiphase acceptance sampling model by attributes to investigate the production interruptions in batch production within tobacco industry

Yüksel

Kazançoğlu

Sarma

2021

IJQRM

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“…Lee et.al (5) (2021) designed the acceptance sampling plan for based on the lifetime performance index under gamma distribution. Further Harsh Tripathi et.al (6) (2021) designed reliability Double and Group Acceptance Sampling Plan for truncated life tests based on the inverse log-logistic distribution. A study on extension of Double Acceptance Sampling Plans based on truncated life tests on the Inverse Rayleigh Distribution was done by Ibrahim et.al (7) (2021).…”

Section: Introductionmentioning

confidence: 99%

Formation of Repetitive Group Sampling Plan for Life Tests Based on Percentiles using Odd Frechet Inverse Rayleigh Distribution

Krishna,

Jayalakshmi

2024

IJST

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Objectives: This paper presents the idea of Repetitive Group Sampling Plans using Odd Frechet Inverse Rayleigh Distribution, when the life test is truncated at a pre-specified time. The main objective of the proposed sampling plan is to minimize the sample size because the analogous inspection time and inspection cost will be reduced. Methods: A truncated life test may be conducted to evaluate the smallest sample size to insure certain percentile lifetime of products. The minimum sample size and its ratio for the specified lifetime percentile were derived for the producer’s risk. The operating characteristic values are also obtained for the proposed sampling plan. The corresponding table values are obtained through Monto Carlo Simulation technique. Findings: The results from the sampling plan developed in this research can easily be adaptable in practical situation with small sample sizes and fewer experimental times and hence the plan yields a better result for reliability sampling plan. Novelty: The work designed and developed with the aim that sampling plan in this paper may be helpful for the engineers and statistical plan developers in the field of statistical quality control especially in attribute reliability sampling plan. The tables are generated which is useful for both producer and consumer. This plan can highly recommendable since the products are randomly sampled and also the procedure for sampling involves less experiment time and with minimum sample size. Keywords: Odd Frechet Inverse Rayleigh Distribution, Percentiles, Repetitive Group Sampling Plan (RGS), Producer’s risk

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“…Tripathi et al [26] developed an application of time-truncated single-acceptance sampling plan based on generalized halfnormal distribution. Tripathi et al [27] studied double-and group-acceptance sampling plan for truncated life test based on inverse log-logistic distribution.…”

Section: Introductionmentioning

confidence: 99%

Double-Acceptance Sampling Plan for Exponentiated Fréchet Distribution with Known Shape Parameters

Babu

Rao

Rosaiah

2021

Mathematical Problems in Engineering

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We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then the lot is approved; also, if at least two failures occur, it is rejected. In the first sample, if one failure is observed, then the second sample is taken and decided for the same length as the first one. The cumulative sample sizes of the first and second samples are determined on the basis of the stated confidence level of the consumer to ensure that the actual median is longer than the given life. As indicated by the various ratios of the actual median life to specified median lifetime, the operating characteristics are calculated and placed in presented tables. To decrease the risk of the producer at the predefined level, the minimum ratios of this sort are additionally obtained. Lastly, examples are provided for representation reasons for the proposed model.

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Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution

Cited by 22 publications

References 21 publications

A multiphase acceptance sampling model by attributes to investigate the production interruptions in batch production within tobacco industry

A multiphase acceptance sampling model by attributes to investigate the production interruptions in batch production within tobacco industry

Formation of Repetitive Group Sampling Plan for Life Tests Based on Percentiles using Odd Frechet Inverse Rayleigh Distribution

Double-Acceptance Sampling Plan for Exponentiated Fréchet Distribution with Known Shape Parameters

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