Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

Aslam, Muhammad; Jeyadurga, P.; Balamurali, S.; Azam, Muhammad; AL-Marshadi, Ali Hussein

doi:10.1155/2021/7470196

Cited by 15 publications

(12 citation statements)

References 29 publications

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“…The value of t 0 can be written in terms of the specified mean lifetime μ 0 , e.g., t 0 = aμ 0 for an experiment termination ratio (a). Reference [20] shows that from Eq. ( 3), the failure probability of product before the time trial can be rewritten as:…”

Section: Weibull Distributionmentioning

confidence: 99%

“…However, the rest of the lot is of good quality. Aslam et al [20] created an adapted version of the MDS Sampling Plan (MMDS), which they claimed was more flexible and efficient than the existing MDS plan as measured by sample size and inspection cost under a time truncated life. Al-Omari et al [21] constructed the new ASP for Length-Biased Weighted Lomax distribution based on a truncated life test.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Multiple Dependent State Sampling Plan Based on Time Truncated Life Tests Using Mean Lifetime

Charongrattanasakul¹,

Bamrungsetthapong²,

Kumam³

2022

Computers, Materials &Amp; Continua

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The design of a new adaptive version of the multiple dependent state (AMDS) sampling plan is presented based on the time truncated life test under the Weibull distribution. We achieved the proposed sampling plan by applying the concept of the double sampling plan and existing multiple dependent state sampling plans. A warning sign for acceptance number was proposed to increase the probability of current lot acceptance. The optimal plan parameters were determined simultaneously with nonlinear optimization problems under the producer's risk and consumer's risk. A simulation study was presented to support the proposed sampling plan. A comparison between the proposed and existing sampling plans, namely multiple dependent state (MDS) sampling plans and a modified multiple dependent state (MMDS) sampling plan, was considered under the average sampling number and operating characteristic curve values. In addition, the use of two real datasets demonstrated the practicality and usefulness of the proposed sampling plan. The results indicated that the proposed plan is more flexible and efficient in terms of the average sample number compared to the existing MDS and MMDS sampling plans.

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Section: Weibull Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Multiple Dependent State Sampling Plan Based on Time Truncated Life Tests Using Mean Lifetime

Charongrattanasakul¹,

Bamrungsetthapong²,

Kumam³

2022

Computers, Materials &Amp; Continua

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show abstract

“…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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“…The case of acceptance sampling plan under nonparametric distribution has been investigate by [3]. Aslam et al [4] considered the designing of modified multiple dependent state sampling plan under Weibull and Birnbaum-Saunders distributions. Aslam [1,2] have proposed acceptance sampling plan for variable and attribute using the neutrosophic statistics.…”

Section: Introductionmentioning

confidence: 99%

Two-sided sampling plan for exponential distribution under type II censored samples

Benahmed

Belbachir²

2022

Hacettepe Journal of Mathematics and Statistics

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Acceptance sampling plan paid the attention of many researchers in the last few years, their works focused basically on Bayesian sampling plans under one-sided decision function and different forms of censoring. In the present paper, a single variable sampling plan for exponential distribution based on type II censored samples under random decision function is developed. For a polynomial loss function, an explicit expression for the Bayes risk is determined. To obtain an approximation for the optimal sampling plan, a simple algorithm based on a discretization method is presented. Finally, an illustrative example and a simulation study followed by extensive tables for the proposed sampling plan are provided.

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Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

Cited by 15 publications

References 29 publications

A Novel Multiple Dependent State Sampling Plan Based on Time Truncated Life Tests Using Mean Lifetime

A Novel Multiple Dependent State Sampling Plan Based on Time Truncated Life Tests Using Mean Lifetime

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

Two-sided sampling plan for exponential distribution under type II censored samples

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