Math. J. Interdiscip. Sci.

Bayesian Repetitive Deferred Sampling Plan Indexed Through Relative Slopes

K.K. Suresh, S. Umamaheswari and K. Pradeepa Veerakumari


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

PUBLISHER The author(s) 2013. this article is published with open access at

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).

Page(s) 41–54
ISSN Print : 2278-9561, Online : 2278-957X
DOI 10.15415/mjis.2013.12011
  • 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 Distributionin 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.
  • 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.