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Journal of Statistical Theory and Practice

, Volume 4, Issue 2, pp 323–336 | Cite as

Conditional Corrective Action Plan for Three Attribute Classes

Article

Abstract

In this paper the scope of corrective action plan is enlarged for three attribute classes of the production process. The OC and other performance characteristics of the plan have been derived by Graphical Evaluation and Review Technique (GERT). Poisson unity values have been tabulated to facilitate the operation and construction of the plan. Lastly, explanation of the proposed model has been illustrated numerically.

AMS Subject Classification

34C25 45M15 

Keywords

Conditional sampling plan Deterioration OC function ASN function GERT 

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References

  1. Bray, D.F., Lyon, D.A., Burr, I.W., 1973. Three class attribute plans in acceptance sampling. Technometrics, 15, 575–585.CrossRefGoogle Scholar
  2. Kase, S., Ohta, H., 1974. An application of sampling inspection to corrective plan semi-Markov production process. AIII Trans.,6(2), 151–158.CrossRefGoogle Scholar
  3. Kase, S. and Ohta, H., 1976. Correction schemes for multi-stage lot production systems. IEEE Trans on systems, Man and Cybernetics, SMC-6, 10, 683–692.CrossRefGoogle Scholar
  4. Lave, R.E., Jr., 1966. A Markov decision process for economic quality control, IEEE Trans. on SSC,2(1), 44–54.Google Scholar
  5. Lave, R.E. Jr., 1969. Markov model for quality plan selection. AIIE Trans.,1(2), 139–149.CrossRefGoogle Scholar
  6. Masson, S.J., 1953. Some properties of single flow graph. Proceeding of the IRE,41(9), 1144–1156.CrossRefGoogle Scholar
  7. Pritskar, A.A.B., Happ, W.W., 1966. GERT: PT. II — Probabilistic and industrial engineering applications. Jour. Ind. Engg., 17, 293–301.Google Scholar
  8. Pritskar, A.A.B., Whitehouse, G.E., 1966. GERT: Graphical evaluation and review technique, part. I, fundamentals. Jour. State Ind. Engg, 17, 267–274.Google Scholar
  9. Schilling, E.G., 1982. Acceptance Sampling in Quality Control. Marcel Dekker Inc., New York.MATHGoogle Scholar
  10. Shankar, G., 1993. GERT methods used in quality control. Economic Quality Control,8(2), 107–115.MATHGoogle Scholar
  11. Shankar, G., 1999. GERT analysis of corrective action plan for the production process. OPSEARCH,36(2), 85–94.CrossRefGoogle Scholar
  12. Shankar, G., 2002. Deterioration: A statistical quality control analysis. OPSEARCH, 39(5 & 6), 315-326.Google Scholar
  13. Shankar, G., 2009. A New Horizon of Peace and Prosperity. Singhai Publishers and Distributors, Raipur (Chhattisgarh), India.Google Scholar
  14. Shankar, G., Chandrakar, T.K., 2002. Three-class inspection corrective action plan for the production processes, Gujarat Statistical Review, 29(1–2), 11–24.Google Scholar
  15. Shankar, G., Chandrakar, T.K., 2004. Conditional Process Control Plan for the Production Processes. Statistical Methods,6(2), 92–106.MathSciNetGoogle Scholar
  16. Shankar, G., Sahu, A.K., 1999. GERT analysis of process control plans. IAPQR Trans., 24(1) 35-44.Google Scholar
  17. Shankar, G., Sahu A.K., 2002. A process control plan: two-stage inspection. Economic-Quality Control, 17, 64–73.CrossRefGoogle Scholar
  18. Singh, H.R., Shankar, G., Chatergee, T.K., 1991. Procedures and tables for construction and selection of three class plans. IAPQR Trans.,16(1), 19–22.Google Scholar
  19. Whitehouse, G.E., 1973. Systems Analysis and Design using Network Techniques. Prentice Hall Inc., Englewood cliff, New Jersey.MATHGoogle Scholar
  20. Whitehouse, G.E., Pritskar, A.A.B., 1969. GERT: Part III — Further statistical results: Counters, renewal times and correlations, AIIE Trans., 1, 45–50.CrossRefGoogle Scholar

Copyright information

© Grace Scientific Publishing 2010

Authors and Affiliations

  1. 1.School of Studies in StatisticsPt. Ravishankar Shukla UniversityRaipurIndia

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