Improved Attribute Chain Sampling Plan for Darna Distribution

Tripathi, Harsh; Al-Omari, Amer Ibrahim; Saha, Mahendra; Alanzi, Ayed R. A.

doi:10.32604/csse.2021.015624

Cited by 12 publications

(3 citation statements)

References 18 publications

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“…The ASP based on the two-parameter quasi-Lindley distribution were discussed by [9]. Further, Tripathi et al [32] introduced an improved attribute chain sampling plan for Darna distribution. The ASP for the truncated life test based on Tsallis q-exponential distribution and the power Lomax distribution were derived by [5] and [7], respectively.…”

Section: Acceptance Sampling Plansmentioning

confidence: 99%

Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans

M R,

AHAMMED,

MAYA

et al. 2024

Hacettepe Journal of Mathematics and Statistics

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In this paper, a new two parameters lifetime distribution, called Marshall-Olkin Bilal distribution is introduced and the structural properties are discussed. The proposed model results from the Marshall and Olkin class of distributions with the baseline model as Bilal distribution. We examined the statistical aspects like moments, quantile function, order statistics and entropy. The hazard function can model increasing and upside-down bathtub shaped data sets. The model parameter estimation is carried out by maximum likelihood estimation and a simulation study is performed. The flexibility of the proposed model is evaluated by two real data sets, compared with the competing models. Its application in time series is studied by the associated autoregressive minification process and the auto-correlation structure is derived. The acceptance sampling plans formulated for the proposed model and the characteristic results are illustrated.

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Section: Acceptance Sampling Plansmentioning

confidence: 99%

Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans

M R,

AHAMMED,

MAYA

et al. 2024

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

show abstract

“…Tripathi et al [20] presented an SSP for generalized half-normal distribution, where the lifetime experiment was truncated at a specified time, while Rao et al [21] presented an MDSSP that decreased the life of the product under exponentiated half-logistic distribution. A novel ASP for lengthbiased weighted Lomax distribution was created by Al-Omari et al [22] based on a truncated life test, while an attribute-modified chain sample inspection plan was created by Tripathi et al [23] based on a timetruncated life test under the Darna distribution. Abushal et al [24] developed an ASP for the powerinverted Topp-Leone distribution, which is a truncated life test that takes advantage of the median life of products.…”

Section: Introductionmentioning

confidence: 99%

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

Charongrattanasakul¹,

Bamrungsetthapong²,

Kumam³

2023

Computer Systems Science and Engineering

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A novel adaptive multiple dependent state sampling plan (AMDSSP) was designed to inspect products from a continuous manufacturing process under the accelerated life test (ALT) using both double sampling plan (DSP) and multiple dependent state sampling plan (MDSSP) concepts. Under accelerated conditions, the lifetime of a product follows the Weibull distribution with a known shape parameter, while the scale parameter can be determined using the acceleration factor (AF). The Arrhenius model is used to estimate AF when the damaging process is temperature-sensitive. An economic design of the proposed sampling plan was also considered for the ALT. A genetic algorithm with nonlinear optimization was used to estimate optimal plan parameters to minimize the average sample number (ASN) and total cost of inspection (TC) under both producer's and consumer's risks. Numerical results are presented to support the AMDSSP for the ALT, while performance comparisons between the AMDSSP, the MDSSP and a single sampling plan (SSP) for the ALT are discussed. Results indicated that the AMDSSP was more flexible and efficient for ASN and TC than the MDSSP and SSP plans under accelerated conditions. The AMDSSP also had a higher operating characteristic (OC) curve than both the existing sampling plans. Two real datasets of electronic devices for the ALT at high temperatures demonstrated the practicality and usefulness of the proposed sampling plan.

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“…Al-Omari et al [21] constructed the new ASP for Length-Biased Weighted Lomax distribution based on a truncated life test. Tripathi et al [22] presented an attribute modified chain sampling inspection plan based on the time truncated life test under the Darna distribution. Abushal et al [23] presented the acceptance sampling plan under the power inverted Topp-Leone distribution.…”

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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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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Improved Attribute Chain Sampling Plan for Darna Distribution

Cited by 12 publications

References 18 publications

Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans

Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

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

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