CASP for Truncated Pareto Weibull Distribution Based on CUSUM Schemes and its Optimization

M. C. Chandra Prasad¹ , P. Mohammed Akhtar² , G.Venkatesulu ³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.68-74, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.6874

Online published on Dec 31, 2018

Copyright © M. C. Chandra Prasad, P. Mohammed Akhtar, G.Venkatesulu . 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.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

328 Views    336 Downloads    143 Downloads

Abstract :
CUSUM charts are firstly introduced by E. S. Page, in 1954. They are used to identify a sudden and persistent change in the production average. Many researchers worked in this area and developed optimization techniques by updating the previous one. In this direction, all the optimization techniques are developed under the assumption that variable with regard to quality characteristic is distributed according to certain probability law. In the present study, we assume that variable under study follows the Truncated Pareto Weibull Distribution and its Optimization of CASP-CUSUM Schemes. Critical comparison is made based on the obtained numerical results.

Key-Words / Index Term :
CASP – CUSUM Schemes, O C Curve, Optimal Truncated Point, Truncated Pareto Weibull Distribution

References :
[1]. Hawkins, D.M. (1992). “A Fast Accurate Approximation for Average Lengths of CUSUM Control Charts”. Journal on Quality Technology, Vol. 24(No.1): 37-43.
[2]. Kakoty, S and Chakravaborthy, A.B., (1990), “A Continuous Acceptance Sampling Plan for Truncated Normal distribution based on Cumulative Sums”, Journal of National Institution for Quality and Reliability, Vol.2 (No.1): 15-18.
[3]. Vardeman, S. And Di-ou Ray. (1985). “Average Run Length for CUSUM schemes where observations are Exponentially Distributed”, Technometrics, vol. 27 (No.2):145-150.
[4]. Lonnie, C. Vance. (1986). “Average Run Length of CUSUM Charts for Controlling Normal means”. Journal of Quality Technology”, Vol.18:189-193.
[5]. Akhtar, P. Md. and Sarma. K.L.A.P.(2004). “Opimization of CASP-CUSUM Schemes based on Truncated Gamma Distribution”. Bulletin of Pure and applied sciences, Vol-23E (No.2):215-223.
[6] Narayana Muthy, B. R, Akhtar, P. Md and Venkataramudu, B.(2012) “Optimization of CASP- CUSUM Schemes based on Truncated Log-Logistic Distribution”. Bulletin of Pure and Applied Sciences, Vol-31E (Math&Stat.): Issue (No.2) pp243-255.
[7] B.Sainath, P.Mohammed Akhtar, G.Venkatesulu, and Narayana Muthy, B. R, (2016) “CASP CUSUM Schemes based on Truncated Burr Distribution using Lobatto Integration Method”. IOSR Journal of Mathematics (IOSR-JM), Vol-12, Issue 2, pp54-63.
[8]. Venkatesulu.G, Akhtar.P.Md, Sainath.B, Narayana Murthy B.R.(2017), “Truncated Gompertz Distribution and its Optimization of CASP-CUSUM Schemes” Journal of Research in applied Mathematics, Vol-3, Issue7, pp:19-28.
[9]. Venkatesulu.G, Akhtar.P.Md, Sainath.B, Narayana Murthy B.R.(2018), “Continuous Acceptance sampling plans for Truncated Lomax Distribution Based on CUSUM schemes” International Journal Mathematics Trends and Technology (IJMTT) – Vol -55 , No-3.
[10]. M. H. Tahir, Gauss M. Cordeiro, Ayman Alzaatreh, M. Mansoor and M. Zubair. “A New Weibull-Pareto Distribution: Properties and Applications”. Vol-45, 2016.
[11].Beattie, B.W.(1962). “A Continuous Acceptance Sampling procedure based upon a cumulative Sums Chart for a number of defective”. Applied Statistics, Vol. 11 (No.2): pp: 137-147.
[12]. Page, E.S.,(1954) “Continuous Inspection Schemes”, Biometrika, Vol. XLI, pp. 104- 114.