Economic Design and Evaluation of Feasible Cost Model for Attribute Sampling Tightened-Normal-Tightened Plan

M. Kokila¹ , K. Pradeepa Veerakumari²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.338-349, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.338349

Online published on Aug 31, 2018

Copyright © M. Kokila, K. Pradeepa Veerakumari . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Tightened-normal-tightened (TNT) plans are the most useful plans in compliance sampling especially for safety related products. In this scenario the acceptance number zero is desirable. This paper provides the feasible costs model considering the stochastic transition of states while inspecting or in various costs involved in the destructive and non-destructive testing. It reveals the cost behavior with respect to plan parameters through sensitivity analysis and cost curves deals with determining the optimal plan parameters for certain attribute sampling schemes.

Key-Words / Index Term :
TNT plan, Destructive testing, Non-destructive testing, Optimal inspection plan, Compliance sampling, Sampling plan

References :
[1]. S. Balamurali, C.H. Jun, “A new system of skip-lot sampling plans having a provision for reducing normal inspection”,.Applied Stochastic Models in Business and Industry, Vol. 27, pp.348–363, 2011.
[2]. T.W. Calvin, “TNT zero acceptance number sampling”, American Society for Quality Control Technical Conference Transactions, Philadelphia: PA. 1977.
[3]. C.H. Chen, C.Y. Chou, C.C. Kan, “Modified economic production and raw material model with quality loss for conforming product”, Journal of Industrial and Production Engineering, Vol. 32, pp.196–203, 2015.
[4]. A.J. Duncan, “Quality Control and Industrial Statistics”, Richard D. Irwin, Homewood, Illinois, USA: pp. 7-8, 1986.
[5]. M. S. Fallahnezhad, M. Aslam, “A new economical design of acceptance sampling models using Bayesian inference”, Accred Qual Assur, Vol. 18, pp. 187-195, 2013.
[6]. K. Govindaraju, K. Subramani, “Selection of Tightened-Normal-Tightened system for given values of Acceptable quality level and Limiting quality level”, Journal of Applied Statistics, Vol. 19, Issue. 2, pp. 241-250, 1992.
[7]. A. Hald, “Statistical Theory of Sampling Inspection by attributes”, Probability and Mathematical Statistics, A series of Monographs and Textbooks, Academic press, London: pp.5-12, 1981.
[8]. J.I.S. Hsu, “A cost model for skip-lot destructive sampling”, IEEE Transactions on Reliability, Vol. R-26, Issue. 1, pp.70-72, 1977.
[9]. J.I.S. Hsu, “A cost model for skip-lot non-destructive sampling”, IEEE Transactions on Reliability, Vol. R-28, Issue. 4, pp.289-291, 1979.
[10]. MIL-STD 105D, “Sampling Procedures and Tables for Inspection by attributes”. U.S. Government Printing Office, Washington, D.C., US, 1963.
[11]. K. Pradeepa Veerakumari, M. Kokila, “Economic Design of Skip-Lot Sampling Plan of Type (SkSP-2) in Reducing Inspection for Destructive sampling”, International Journal of Pure and Applied Mathematics, Vol. 117, Issue. 12, pp. 101 -111, 2018.
[12]. K. Pradeepa Veerakumari, M. Kokila, “Economic scheme for designing Skip lot sampling plans involving Cost functions using Graphical Evaluation Review Technique”, International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol. 5, Issue. 3, pp. 1-5, 2018.
[13]. S.M. Ross, Stochastic processes, 2nd edition. New York: Wiley. 1996.
[14]. E.G. Schilling, D.V. Neubauer. Acceptance Sampling in Quality Control. BocaRaton: CRC Press. Marcel Dekker, New York: pp. 94-95, 2008.
[15]. V. Soundararajan, S. D. Arumainaiyagam, “Quick Switching System for Costly and Destructive Testing”, Sankhya: The Indian Journal of Statistics, Series B-Part I, Vol. 54, Issue. 1, pp. 1-12, 1992.
[16]. V. Soundararajan, R. Vijayaraghavan, “Construction and Selection of tightened-normal-tightened (TNT) plans”, Journal of Quality Technology, Vol. 22, Issue 2, pp. 146–153, 1990.
[17]. K.K. Suresh, S. Balamurali, “Designing of Tightened-Normal-Tightened (TNT) plans indexed by MAPD”. Communication in Statistics – Theory and Methods, Vol.22, Issue 7, pp.2043-2056, 1993.
[18]. D. Senthilkumar, D. Muthuraj, “Construction and selection of tightened–normal–tightened variables sampling scheme of type TNTVSS (n1, n2; k)”, Journal of Applied Statistics, Vol. 37, Issue 3, pp.375-390, 2010
[19]. J.R. Singh, A. Sanvalia, “Single Sampling Plan for Variable Indexed by AQL and AOQL with Known Coefficient of Variation”, International Journal of Computer Sciences and Engineering, Vol. 5, Issue. 10, pp. 20-25.2017.
[20]. R.S. Walse, G.D. Kurundkar, P. U. Bhalchandra, “A Review: Design and Development of Novel Techniques for Clustering and Classification of Data”, International journal of scientific research in Computer science and Engineering, Vol. 6, Issue. 1, pp.19-22.
[21]. Training Course series No.9, “Non-destructive Testing: A Guidebook for Industrial Management and Quality Control Personnel”, International Atomic Energy Agency, Vienna: pp.125-150, 1999.