Chitkara University Publications

Bayesian Repetitive Deferred Sampling Plan Indexed Through Relative Slopes

Abstract:

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 – (c1, c2), which was proposed by Rambert Vaerst (1981).

Author(s):

  • K.K. Suresh, Department of Statistics, Bharathiar University, Coimbatore, Tamilnadu, India
  • S. Umamaheswari, Department of Statistics, Bharathiar University, Coimbatore, Tamilnadu, India
  • K. Pradeepa Veerakumari, Department of Statistics, Bharathiar University, Coimbatore, Tamilnadu, India

DOI: 

Keywords: 

Bayesian Sampling Plan, Acceptable Quality Level (AQL), Limiting Quality Level (LQL), Indifference Quality Level (IQL), Relative Slopes, Gamma- Poisson Distribution

References:

American National Standards Institute/American Society for Quality Control (ANSI / ASQC) Standard A2 (1987). Terms, Symbols, and Definition for Acceptance Sampling, American Society for Quality Control, Milwaukee, Wisconsin, USA.

Calvin, T.W., (1984). How and When to perform Bayesian Acceptance Sampling, American Society for Quality Control, Vol.7.

Case, K.E., and Keats, J.B., (1982). On the Selection of a Prior Distribution in Bayesian Acceptance Sampling, Journal of Quality Technology, Vol.14, No.1, pp.10-18.

Hamaker, H.C., (1950). The Theory of Sampling Inspection Plans, Philips Technical Review, Vol.14, No.9, pp.260-270.

Hald, A., (1965). Bayesian Single Sampling Plans for Discrete Prior Distributions, Mat. Fys. Skr. Dan. Vid. Selsk., Vol.3, No.2, pp.88, Copenhagen, Munksgaard.

Lilly Christina, A., (1995). Contribution to the study of Design and Analysis of Suspension System and Some other Sampling Plans, Ph.D. Thesis, Bharathiar University, Tamilnadu, India.

Oliver, L.R. and Springer, M.D., (1972). A General Set of Bayesian Attribute Acceptance Plans, American Institute of Industrial Engineers, Norcross, GA.

Peach, P., (1947). An Introduction to Industrial Statistics and Quality Control, 2nd Edition, Edwards and Broughton, Raleigh, North Carolina.

Scafer, R.E., (1967). Bayes Single Sampling Plans by Attributes Based on the Posterior Risk, Navel Research Logistics Quarterly, Vol. 14, No.1, March, pp.81-88, http://dx.doi.org/10.1002/nav.3800140108.

Shankar, G. and Mohapatra, B.N., (1991). GERT Analysis of Repetitive Deferred Sampling Plans, IAPQR Transactions, Vol.16, No. 2, pp.17-25.

Suresh, K.K., (1993). A Study on Acceptance Sampling using Acceptable and Limiting Quality Levels, Ph.D. Thesis, Bharathiar University, Tamilnadu.

Suresh, K.K. and Latha, M. (2001). Bayesian Single Sampling Plans for a Gamma Prior, Economic Quality Control, Vol.16, No.1, pp.93-107.

Suresh, K.K. and Pradeepa Veerakumari, K., (2007). Construction and Evaluation of Performance Measures for Bayesian Chain Sampling Plan (BChSP-1), Acta Ciencia Indica, Vol. 33, No. 4, pp.16-35.

Suresh, K.K. and Saminathan, R., (2010). Construction and Selection of Repetitive Deferred Sampling (RDS) Plan through Acceptable and Limiting Quality Levels, International Journal of Statistics and Systems, Vol. 65, No.3, pp.257-264.

Vaerst, R., (1981). A Procedure to Construct Multiple Deferred State Sampling Plan, Method of Operation Research, Vol.37, pp.477-485.

Vedaldi, R., (1986). A new Criterion for the Construction of Single Sampling Inspection Plans by Attributes, Rivista di Statistica Applicata, Vol.19, No.3, pp.235-244.

Wortham, A.W. and Baker, R.C., (1976). Multiple Deferred State Sampling Inspection, The International Journal of Production Research, Vol.14, No.6, pp.719-731. http://dx.doi.org/10.1080/00207547608956391

 

 

0 0 votes
Article Rating
Subscribe
Notify of
0 Comments
Inline Feedbacks
View all comments
CHITKARA UNIVERSITY ADMINISTRATIVE OFFICE SARASWATI KENDRA, PO Box No. 70 SCO – 160-161,Sector – 9C, Chandigarh – 160009, India. +91-172-2741000, +91-172-4691800 chitkarauniversitypublications@chitkara.edu.in

    0
    Would love your thoughts, please comment.x
    ()
    x