Agric. Econ. - Czech, 2015, 61(7):326-331 | DOI: 10.17221/186/2014-AGRICECON
Economic aspects of the LTPD single sampling inspection plansOriginal Paper
- Department of Mathematics, Faculty of Informatics and Statistics, University of Economics, Prague, Czech Republic
The paper deals with the LTPD (Lot Tolerance Percent Defective) single sampling plans when the remainder of rejected lots is inspected. There are considered two types of the LTPD plans - for inspection by variables and for inspection by variables and attributes (all items from the sample are inspected by variables; the remainder of rejected lots is inspected by attributes). These plans were created by the author of this paper and published in the Statistical Papers. These new plans were compared with the corresponding Dodge-Romig LTPD plans for the inspection by attributes from the economic point of view. From the results of the numerical investigations, it follows that under the same protection of consumer the LTPD plans for the inspection by variables are in many situations more economical than the corresponding Dodge-Romig attribute sampling plans (saving of the inspection cost is 80% in any cases). The dependence of the saving of the inspection cost on the acceptance sampling characteristics is analyzed in the paper.
Keywords: acceptance sampling, economic efficiency, inspection by variables
Published: July 31, 2015 Show citation
References
- Aslam M., Azam M., Chi-Hyuck Jun (2015): A new lot inspection procedure based on exponentially weighted moving average. International Journal of Systems Science, 46: 1392-1400.
- Chen C.H., Chou C.Y. (2001): Economic design of DodgeRomig lot tolerance per cent defective single sampling plans for variables under Taguchi's quality loss function. Total Quality Management, 12: 5-11.
Go to original source...
- Dodge H.F., Romig H.G. (1998): Sampling Inspection Tables: Single and Double Sampling. John Wiley, New York.
- Hald A. (1981): Statistical Theory of Sampling Inspection by Attributes. Academic Press, London.
- Jennett W.J., Welch B.L. (1939): The control of proportion defective as judged by a single quality characteristic varying on a continuous scale. Supplement to the Journal of the Royal Statistical Society, 6: 80-88.
Go to original source...
- Johnson N.L., Welch B.L. (1940): Applications of the NonCentral t-Distribution. Biometrika, 31: 362-389.
Go to original source...
- Kaspříková N. (2011): LTPDvar: LTPD plans for sampling inspection by variables. R package version 1.0. http://CRAN.R-project.org/package=LTPDvar.
- Kaspříková N., Klufa J. (2011): Calculation of LTPD single sampling plans for inspection by variables and its software implementation.In: PAVELKA T. (ed.): International days of statistics and ecomonics at VŠE. Melandrium, Slaný: 1-10.
- Klufa J. (1980): Sekvenční postupy v statistické přejímací kontrole jakosti a jejich aplikace v zemědělství. (Sequential acceptance sampling plans and their applications in agriculture.) Agricultural Economics, 26: 115-126.
- Klufa J. (1994): Acceptance sampling by variables when the remainder of rejected lots is inspected. Statistical Papers, 35: 337-349.
Go to original source...
- Klufa J. (1997): Dodge-Romig AOQL single sampling plans for inspection by variables. Statistical Papers, 38: 111-119.
Go to original source...
- Klufa J. (2008): Dodge-Roming AOQL plans for inspection by variables from numerical point of view. Statistical Papers, 49: 1-13.
Go to original source...
- Klufa J. (2010): Exact calculation of the Dodge-Romig LTPD single sampling plans for inspection by variables. Statistical Papers, 51: 297-305.
Go to original source...
- R Development Core Team (2010): R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. Available at http://www.R-project.org/
- Wilrich P.T. (2012): Bayesian Sampling Plans for Inspection by Variables. Frontiers in Statistical Quality Control, 10: 227-249.
Go to original source...
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