GERT Analysis of Conditional Repetitive Group Sampling Plan

Shankar, Gauri; Mohapatra, Badri Narayan

doi:10.1108/02656719310027902

Cited by 8 publications

(5 citation statements)

References 5 publications

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“…Procedures and tables for the selection of the parameters of RGS plan have been given by Ramaswamy (1984, 1986) and Singh et al (1989). Shankar (1996) investigated the RGS plan and derived the performance measures such as the probability of acceptance, ASN etc., using graphical evaluation and review technique (GERT) analysis. Shankar and Mohapatra (1993) investigated conditional RGS plan using the GERT analysis.…”

Section: Mixed Rgs Plan Based On C Pkmentioning

confidence: 99%

“…Shankar (1996) investigated the RGS plan and derived the performance measures such as the probability of acceptance, ASN etc., using graphical evaluation and review technique (GERT) analysis. Shankar and Mohapatra (1993) investigated conditional RGS plan using the GERT analysis. Balamurali and Jun (2006) developed the RGS plan for the application of measurable characteristics under normal distribution.…”

Section: Mixed Rgs Plan Based On C Pkmentioning

confidence: 99%

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A new mixed repetitive group sampling plan based on the process capability index for product acceptance

Balamurali

Usha

2018

IJQRM

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Purpose The purpose of this paper is to propose a new mixed repetitive group sampling (RGS) plan based on the process capability index, Cpk, where the quality characteristics of interest follow the normal distribution with unknown mean and unknown variance. Tables are constructed to determine the optimal parameters for practical applications for both symmetric and asymmetric fraction non-conforming cases. The advantages of this proposed mixed sampling plan are also discussed. The proposed sampling plan is also compared with other existing sampling plans. Design/methodology/approach In order to determine the optimal parameters of the proposed mixed RGS plan based on Cpk, the authors constructed tables for various combinations of acceptable and limiting quality levels (LQLs). For constructing tables, the authors followed the approach of two points on the operating characteristic (OC) curve. The optimal problem is formulated as a non-linear programming where the objective function to be minimized is the average sample number (ASN) and the constraints are related to lot acceptance probabilities at acceptable quality level and LQL under the OC curve. Findings The proposed mixed RGS plan will be a new addition to the literature of acceptance sampling. It is shown that the proposed mixed plan involves minimum ASN with desired protection to both producers and consumers compared to other existing sampling plans. The practical application of the proposed mixed sampling plan is also explained with an illustrative real-time example. Originality/value In this paper, the authors propose a new mixed RGS plan based on the process capability index Cpk, where the quality characteristic of interest follows the normal distribution with unknown mean and unknown variance. Tables are constructed to determine the optimal parameters for practical applications. The proposed mixed sampling plan can be used in all production industries. This kind of mixed RGS plan is not available in the literature.

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Section: Mixed Rgs Plan Based On C Pkmentioning

confidence: 99%

Section: Mixed Rgs Plan Based On C Pkmentioning

confidence: 99%

A new mixed repetitive group sampling plan based on the process capability index for product acceptance

Balamurali

Usha

2018

IJQRM

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“…The Repetitive Deferred Sampling Plan has been developed by Shankar and Mohapatra (1991) and this plan is essentially an extension of the Multiple Deferred Sampling Plan MDS -(c 1 , c 2 ) which was proposed by Rambert Vaerst (1981). In this plan the acceptance or rejection of a lot in deferred state is dependent on the inspection results of the preceding or succeeding lots under Repetitive Group Sampling (RGS) inspection.…”

Section: Bayesian Acceptance Samplingmentioning

confidence: 99%

“…The operating characteristic function P a (p) for Repetitive Deferred Sampling Plan is derived by Shankar and Mohapatra (1991) Where…”

Section: Operating Procedures For Rds Planmentioning

confidence: 99%

Bayesian Repetitive Deferred Sampling Plan Indexed Through Relative Slopes

Suresh

Umamaheswari

Veerakumari

2013

MJIS

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This paper deals with designing of Bayesian Repetitive Deferred Sampling Plan (BRDS) indexed through incoming and outgoing quality levels with their relative slopes on the OC curve. The Repetitive Deferred Sampling (RDS) Plan has been developed by Shankar and Mohapatra (1991) and this plan is an extension of the Multiple Deferred Sampling Plan MDS-(c 1 , c 2) , which was proposed by Rambert Vaerst (1981).

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“…In an acceptance rectification sampling plan if we do not accept on the basis of the sample, we take recourse to 100% inspection and in either case replace all defectives by non-defectives. The RDS plan has been developed by Sankar and Mahopatra (1991) and this plan is essentially an extension of the Multiple deferred sampling plan MDS-(c1, c2) which was proposed by Rambert and Vaerst (1981). In this plan, the acceptance or rejection of a lot in deferred state is dependent on the inspection results of the preceding or succeeding lots under repetitive group sampling (RGS) inspection.…”

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confidence: 99%

Repetitive Deferred Variables Sampling Plan Indexed By Six Sigma Quality Levels

Senthilkumar¹,

Prakash²,

Raffie³

2017

IJERT

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Abstract-This article proposes a repetitive deferred variable sampling plan (RDVSP) indexed by six sigma quality levels for the inspection of normally distributed quality characteristics. In this plan, the acceptance or rejection of a lot in the deferred state is dependent on the inspection results of the preceding or succeeding lots under repetitive group sampling (RGS) inspection is designing plan indexed by Six Sigma AQL (SSAQL, 1-α) and Six Sigma LQL (SSLQL, β) is indicated. Sampling plan tables are constructed for the selection of parameters indexed by SSAQL and SSLQL in the case of known and unknown standard deviation and sigma values.

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GERT Analysis of Conditional Repetitive Group Sampling Plan

Cited by 8 publications

References 5 publications

A new mixed repetitive group sampling plan based on the process capability index for product acceptance

A new mixed repetitive group sampling plan based on the process capability index for product acceptance

Bayesian Repetitive Deferred Sampling Plan Indexed Through Relative Slopes

Repetitive Deferred Variables Sampling Plan Indexed By Six Sigma Quality Levels

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