African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 261

Full Length Research Paper

A sampling plan with producer’s allowable risk (PAR) at maximum allowable proportion defective (MAPD)

T. B. Ramkumar
Department of Statistics, St.Thomas’ College, Thrissur, Kerala, India. 680001.
Email: [email protected]

  •  Accepted: 20 October 2011
  •  Published: 15 January 2012

Abstract

 

This paper deals with sampling designs on incoming quality MAPD along with a specified probability of acceptance at this point called producer’s allowable risk (PAR). It is defined as the minimum probability of acceptance of the lot with a maximum allowable proportion defective. Tables and graphs are presented, comparing the efficiency of new SSP as to protect AQL. An optimum criterion of sample size and acceptance number is suggested for a fixed ratio of PAR to MAPD within a plausible sample size region.

 

Key words: Single sampling plan (SSP), maximum allowable proportion defective (MAPD), operating characteristic curve, inflection point, producer’s allowable risk (PAR), optimum sampling plan, decisive distance, steepness angle.