Graduate Thesis Or Dissertation
 

Evaluation of the limit number effects for reduced inspection in ANSI/ASQC Z1.4 using a Markov model

Public Deposited

Contenu téléchargeable

Télécharger le fichier PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/bg257j59d

Descriptions

Attribute NameValues
Creator
Abstract
  • ANSI/ASQC Z1.4 is a widely used attributes acceptance sampling system. A necessary aspect of a scheme, from both a theoretical and psychological viewpoint, is the switching between normal, tightened, and reduced inspection as a function of quality history. In the latest revision of the standard the switching rules were altered to make use of the limit numbers for reduced inspection optional. Furthermore, a statement in the standard suggests that this action will have little effect on operating properties. A Markov model was developed to analyze the effect of the limit numbers. The no limit number model was solved analytically. The resulting closed-form results eliminate the need for matrix inversion and show that the maximum average run length on normal inspection is only 12.7 lots. The results show that use with the limit numbers significantly impacts many performance measures. Averaged across all 152 single sampling schemes and with quality at the AQL, the average run length on normal inspection increases 287% and the percent rejected increases 26% when limit numbers are used. Without limit numbers, the percent inspected on reduced increases 78%, the frequency of transitions between normal and reduced increases 108%, and the number of lots inspected before discontinuation increases 250%. When quality is slightly worse than the AQL (1.25 AQL), the differences are even greater. The average run length on normal increases 452% and the percent rejected increases 36% with limit numbers. Reduced inspection is nearly eliminated when the limit numbers are used. Omission of the limit numbers increases the percent on reduced by 972%, the frequency of transitions between normal and reduced by 776%, and the number of lots inspected by 120%. Contrary to the claim in ANSI/ASQC Z1.4, operating properties are significantly affected. Specifically, use of the limit numbers effectively controls random switching from normal to reduced, and makes reduced inspection truly a reward for exceptional quality rather than an expectation of marginal to poor quality.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Déclaration de droits
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Des relations

Parents:

This work has no parents.

Dans Collection:

Articles

La vignette Titre Date de téléchargement Visibilité actes
file details GrindeRogerB1987.pdf 2017-08-23 Public Télécharger