Optimal Designing of a Multiple Deferred State Sampling Plan for Weibull Distributed Life Time Assuring Mean Life

Balamurali, S.; Jeyadurga, P.; Usha, M.

doi:10.1080/01966324.2017.1298064

Cited by 20 publications

(9 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In acceptance sampling, this distribution plays an important role when designing the sampling plan for providing a product's lifetime assurance. Nowadays, the Weibull distribution is used in statistical quality control (SQC) to design the control chart and to design the sampling plan (see, e.g., [1,[15][16][17]). In this paper, we design a modified MDS sampling plan under Weibull distribution for providing mean lifetime assurance for the product.…”

Section: Weibull Distributionmentioning

confidence: 99%

“…To show the efficiency of the proposed modified MDS sampling plan, the sample size and TC required for plan implementation are compared with those of MDS sampling plan proposed by [16] for assuring Weibull distributed mean life of the product and SSP. e values of sample size and TC are given in Table 9 and such values are determined for the specified values of shape parameters δ � 2 and a � 0.5.…”

Section: Comparative Study Based On Tcmentioning

confidence: 99%

“…In order to show the better performance of the proposed modified MDS sampling plan in reducing the ASN compared to existing plans such as MDS sampling plan and SSP, the ASN of these plans are reported in ASN of the MDS sampling plan is obtained from[16]. Also, the ASN of SSP is calculated by substituting c 2 � c 1 � c (say) in OC function of modified MDS sampling plan.…”

mentioning

confidence: 99%

See 2 more Smart Citations

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

Aslam

Jeyadurga

Balamurali

et al. 2021

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection.

show abstract

Section: Weibull Distributionmentioning

confidence: 99%

Section: Comparative Study Based On Tcmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

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

Aslam

Jeyadurga

Balamurali

et al. 2021

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

show abstract

“…[8] , designed the Fuzzy MDS plan with null and unit acceptance number is more powerful while comparing the good and the bad lot of the already existing (FSSP). S.Balamurali, et.al [9] has proposed the MDS plan and constructed the table for different unification of producer's and consumer's risks using Weibull distribution with test based on time truncation. Subrmani.K and Haridoss.V [18] developed the table for RGS plan using Weighted Poisson distribution to reduce the risk for fixed sample size.…”

Section: A Review Of the Lecturermentioning

confidence: 99%

Designing Optimal Multiple Deferred State Mds–1 Sampling Plan using Truncated Poisson Distribution

Subramani¹,

Ambika²,

Venugopal³

2019

IJITEE

View full text Add to dashboard Cite

The producer and the consumers show their interest in accepting the lot with good quality by checking the lot with minimum sample size. In this paper for given Acceptance Sampling Limit and Limiting Quality Limit we have designed the multiple deferred sampling plans using Truncated Poisson distribution to minimize the risk by considering the sample size in account. Here overall risk for wrong decision is considered as optimization criteria. Tables and procedures are derived using Truncated Poisson distribution and also it is compared with the existing Poisson distribution to find optimum result.

show abstract

“…(see e.g. Aslam et al , 2012; Aslam et al , 2014; Carmo et al , 2014; Balamurali et al , 2017b; Jeyadurga and Balamurali, 2018). In this designing, we assume that the lifetime “ t ” of the product follows the Weibull distribution.…”

Section: Weibull Distribution and Generalized Exponential Distributionmentioning

confidence: 99%

Modified chain sampling plan for assuring percentile life under Weibull distribution and generalized exponential distribution

Jeyadurga

Usha²,

Balamurali

2018

IJQRM

View full text Add to dashboard Cite

Purpose The purpose of this paper is to design a modified chain sampling plan for assuring the product percentile life where the lifetime follows Weibull or generalized exponential distributions (GEDs). In order to reduce the cost of inspection when implementing the proposed modified chain sampling plan, it is also considered the economic aspect of designing of proposed plan in this paper. Design/methodology/approach The authors have designed the proposed plan on the basis of two points on the operating characteristic (OC) curve approach. The optimization problem is used to determine the plan parameters of the proposed plan so that the specified values of producer’s risk and consumer’s risk are satisfied simultaneously. Findings The results we have obtained, confirm that the proposed plan will be very effective in reducing the sample size rather than other existing sampling plans. The OC curves of proposed plan, chain sampling plan and zero acceptance number single sampling plan show that the performance of proposed plan in discriminating the good and poor quality lots is better than other two plans. In this paper, it is proved that the value of number of preceding lots required for current lot disposition plays an important role. Originality/value The proposed modified chain sampling plan for assuring the percentile lifetime of the products under Weibull or GEDs is not available in the literature. The proposed plan can be used in all the manufacturing industries to assure the product percentile lifetime with minimum sample size as well as minimum cost.

show abstract

Optimal Designing of a Multiple Deferred State Sampling Plan for Weibull Distributed Life Time Assuring Mean Life

Cited by 20 publications

References 21 publications

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

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

Designing Optimal Multiple Deferred State Mds–1 Sampling Plan using Truncated Poisson Distribution

Modified chain sampling plan for assuring percentile life under Weibull distribution and generalized exponential distribution

Contact Info

Product

Resources

About