SINGLE SAMPLING INSPECTION PLANS WITH SPECIFIED ACCEPTANCE PROBABILITY AND MINIMUM AVERAGE COSTS

Abstract

The purpose of the paper is to give a tabulation and discussion of properties of a system of single sampling attribute plans obtained by minimizing average costs under the restriction that a point on the OC-curve has been fixed. Three systems are studied corresponding to different restrictions: (a) The LTPD system with a fixed consumer's risk, P(P sub 2) =0.10, (b) The AQL system with a fixed producer's risk, Q(P sub 1)=0.05. (c) The IQL system with P(P sub 0)=1/2 for P sub 1< P sub 0< P sub 2. LTPD and AQL plans for a double binomial prior distribution may be found from the corresponding plans for a single binomial prior distribution by a suitable change of cost parameter. The solution of the minimization problem and corresponding tables are given for the three systems. The asymptotic properties of the solution are also studied.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0609993

Entities

People

  • A. Hald

Organizations

  • University of Copenhagen

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Binomials
  • Consumers
  • Efficiency
  • Equations
  • Errors
  • Frequency
  • Inspection
  • Interpolation
  • Intervals
  • Military Research
  • Military Standards
  • New York
  • Normal Distribution
  • Probability
  • Rejection
  • Sampling

Fields of Study

  • Mathematics

Readers

  • Life Cycle Cost Analysis
  • Regression Analysis.