Volume 5, Issue 1, June 2018, Page: 30-38
Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine
Casmir Onyeneke, Department of Mathematics/Statistics and Computer Science, University of Calabar, Calabar, Nigeria
Samson Olorunju, Department of Epidemiology and Medical Statistics, University of Ibadan, Ibadan, Nigeria
Udu Eta, Department of Electrical/Electronics, University of Port-Harcourt, Port-Harcourt, Nigeria
Cyril Nwaonu, Department of Public Administration, Sure Foundation Polytechnic, Akwa-Ibom, Nigeria
Received: Jan. 28, 2018;       Accepted: Feb. 8, 2018;       Published: Mar. 2, 2018
DOI: 10.11648/j.ajae.20180501.15      View  1529      Downloads  116
It is one of the major concerns of production industries to keep sustain quality products through maintenance of reliability goals which is capable of attaining to high demand of the competitive products in the societies. This is one of the motivations of using Weibull method to formulate a reliability model for grinding calcite and barite in production industries. The uniqueness of this work centers on the transformation of the Weibull cumulative function into a linear model which was used to check the level of reliability of the grinded chemicals using zenith grinding machines in manufacturing industries and to design the level of reliability suitable for further productions. These assumptions are in line with the linear transformation model following the aim of ascertaining efficiency of the grinding machines. The Weibull Cumulative distribution function was used to compare with a simple regression model to ascertain the parameter estimates which reflects the reliability levels of the production industries. When the Weibull transformation was compared to the linear model, the shape and scale parameters were estimated and used to establish the level of reliability. This research work described what happened at the various levels of production before felts started forming and developed a reliability model for the prevention of filth formation in grinding calcite and barite with zenith grinding machine in paper producing industries and other industries of similar products.
Reliability, Scale Parameter, Survival Probability, Parameter Estimates, Regression Model, Filth Formation
To cite this article
Casmir Onyeneke, Samson Olorunju, Udu Eta, Cyril Nwaonu, Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine, American Journal of Aerospace Engineering. Vol. 5, No. 1, 2018, pp. 30-38. doi: 10.11648/j.ajae.20180501.15
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Myers, H. R. Montgomery, D. C and Anderson C. (2009) Response Surface Methodology, 3rd Edition, New York,. John Wiley and Sons.
Dixit, A. K. (1990). Optimization Economic Theory. USA: Oxford University Press.
Collett, David (2015). Modelling survival data in medical research (3rd ed.). Boca Raton: Chapman and Hall / CRC. ISBN 1439856788.
Neil R. Carlson... [et (2009). Psychology: the science of behaviour (4th Canadian ed.). Toronto: Pearson. ISBN 978-0-205-64524-4.
Davidshofer, Kevin R. Murphy, Charles O. (2005). Psychological testing: principles and applications (6th ed.). Upper Saddle River, N. J.: Pearson/Prentice Hall. ISBN 0-13-189172-3.
Gulliksen, Harold (1987). Theory of mental tests. Hillsdale, N. J.: L. Erlbaum Associates. ISBN 978-0-8058-0024-1.
Cortina, J. M., (1993). What Is Coefficient Alpha? An Examination of Theory and Applications. Journal of Applied Psychology, 78(1), 98–104.
Ritter, N. (2010). Understanding a widely misunderstood statistic: Cronbach's alpha. Paper presented at Southwestern Educational Research Association (SERA) Conference 2010, New Orleans, LA (ED526237).
Eisinga, R.; Te Grotenhuis, M.; Pelzer, B. (2012). "The reliability of a two-item scale: Pearson, Cronbach or Spearman-Brown?". International Journal of Public Health. 58 (4): 637–642. doi:10.1007/s00038-012-0416-3.
Jiang, R.; Murthy, D. N. P. (2011). "A study of Weibull shape parameter: Properties and significance". Reliability Engineering & System Safety. 96 (12): 1619–26. doi:10.1016/j.ress.2011.09.003.
Chen, M. J., Chen, K. N. & Lin, C. W. (2004). Sequential Quadratic Programming for Development of a new probiotic diary with glucono-lactone. Journal of Food Science, 69(22), 344-350.
Wayne Nelson (2004) Applied Life Data Analysis. Wiley-Blackwell ISBN 0-471-64462-5
Sharif, M. Nawaz; Islam, M. Nazrul (1980). "The Weibull distribution as a general model for forecasting technological change". Technological Forecasting and Social Change. 18 (3): 247–56. doi:10.1016/0040-1625(80)90026-8.
Onyeneke Casmir Chidiebere, Effanga Okon Effanga. (2016). Application of Reduced Second Order Response Surface Model of Convex Optimization in Paper Producing Industries. International Journal of Theoretical and Applied Mathematics. Vol. 2, No. 1, 2016, pp. 13-23. doi: 10.11648/j.ijtam.20160201.13.
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