Optimum Sampling Plan on Quality Indices AOQL and MAPD


  • Ramkumar T. Balan Department of Mathematics & Statistics University Of Dodoma, Tanzania
  • Expery Massawe Department of Mathematics & Statistics University Of Dodoma, Tanzania




Optimum Sampling Plan, glb of AOQL, MAPD, Empirical Relations


This paper describes a selection procedure for an Optimum Sampling Plan, offering maximum consumer protection in terms of AOQL and MAPD.  The greatest lower bound (glb) property of AOQL for a fixed MAPD is used to design the plan offering highest precision on outgoing quality for the lot. Tables for optimum sampling plans corresponding to specified MAPD and g l b of AOQL are listed along with AQL. Empirical relation to determine AOQL for given acceptance number and MAPD is determined. Also an approximated acceptance number function in terms of (MAPD, AOQL) is developed. Lower and Upper bounds of AOQL for some parametric sampling plans are listed.


ANSI/ASQ Z1.4 (2008) Sampling procedure and Tables for attributes, American Society for

Quality, New York.

Dodge. H.F. and Romig H.G.(1959) Sampling Inspection Tables, John Wiley and Sons. Second Edition ,Inc.,New York.

Mandelson (1962) The Statistician, Engineer Sampling Plans, Industrial Quality Control, 19, 12-15.

Mayer P. L. (1967) A note on the sum of Poisson probabilities and applications, Annals of Institute of Statistical Mathematics.19, 537-542.

Soundararajan.V. (1975) Maximum Allowable Percent Defective (MAPD) Single Sampling Inspection by Attributes Plan. Journal of Quality Technology,7,4, 173-182.

Soundararajan.V. (1981) Single Sampling Attributes Plan indexed by AQL & AOQL. Journal of Quality Technology. 13, 3, 195-200

Ramkumar T.B.and Suresh K.K.(1996) Selection of sampling plan indexed with maximum allowable average outgoing quality. Journal of Applied Statistics,23,6, 645-654.

Anscombe.F.J.(1958). Rectifying Inspection of Continuous Output. Journal of Royal Statistical Society,53,702-719.

Wortham.A.W.;Mogg.J.M.(1970).A Technical note on average outgoing quality, Journal of Quality Technology. 2, 30-31.

Ramkumar T.B. (2013) MAPD –A quality Measure , Indian Journal of Applied research, Vol.3, Issue3 524-525




How to Cite

Balan, R. T., & Massawe, E. (2022). Optimum Sampling Plan on Quality Indices AOQL and MAPD. Transactions on Engineering and Computing Sciences, 10(5), 57–66. https://doi.org/10.14738/tmlai.105.13168