Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine

Casmir Onyeneke; Samson Olorunju; Udu Eta; Cyril Nwaonu

doi:doi:10.11648/j.ajae.20180501.15

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Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine

Casmir Onyeneke, Samson Olorunju, Udu Eta, Cyril Nwaonu

Published in American Journal of Aerospace Engineering (Volume 5, Issue 1)

Received: 28 January 2018 Accepted: 8 February 2018 Published: 2 March 2018

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Abstract

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.

Published in	American Journal of Aerospace Engineering (Volume 5, Issue 1)
DOI	10.11648/j.ajae.20180501.15
Page(s)	30-38
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Reliability, Scale Parameter, Survival Probability, Parameter Estimates, Regression Model, Filth Formation

References

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[7]	Cortina, J. M., (1993). What Is Coefficient Alpha? An Examination of Theory and Applications. Journal of Applied Psychology, 78(1), 98–104.
[8]	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).
[9]	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.
[10]	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.
[11]	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.
[12]	Wayne Nelson (2004) Applied Life Data Analysis. Wiley-Blackwell ISBN 0-471-64462-5
[13]	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.
[14]	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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Casmir Onyeneke, Samson Olorunju, Udu Eta, Cyril Nwaonu. (2018). Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine. American Journal of Aerospace Engineering, 5(1), 30-38. https://doi.org/10.11648/j.ajae.20180501.15

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ACS Style

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. Am. J. Aerosp. Eng. 2018, 5(1), 30-38. doi: 10.11648/j.ajae.20180501.15

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AMA Style

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. Am J Aerosp Eng. 2018;5(1):30-38. doi: 10.11648/j.ajae.20180501.15

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@article{10.11648/j.ajae.20180501.15,
  author = {Casmir Onyeneke and Samson Olorunju and Udu Eta and Cyril Nwaonu},
  title = {Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine},
  journal = {American Journal of Aerospace Engineering},
  volume = {5},
  number = {1},
  pages = {30-38},
  doi = {10.11648/j.ajae.20180501.15},
  url = {https://doi.org/10.11648/j.ajae.20180501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20180501.15},
  abstract = {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.},
 year = {2018}
}

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TY  - JOUR
T1  - Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine
AU  - Casmir Onyeneke
AU  - Samson Olorunju
AU  - Udu Eta
AU  - Cyril Nwaonu
Y1  - 2018/03/02
PY  - 2018
N1  - https://doi.org/10.11648/j.ajae.20180501.15
DO  - 10.11648/j.ajae.20180501.15
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 30
EP  - 38
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.20180501.15
AB  - 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.
VL  - 5
IS  - 1
ER  -

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Author Information

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

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APA Style

Casmir Onyeneke, Samson Olorunju, Udu Eta, Cyril Nwaonu. (2018). Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine. American Journal of Aerospace Engineering, 5(1), 30-38. https://doi.org/10.11648/j.ajae.20180501.15

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ACS Style

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. Am. J. Aerosp. Eng. 2018, 5(1), 30-38. doi: 10.11648/j.ajae.20180501.15

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AMA Style

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. Am J Aerosp Eng. 2018;5(1):30-38. doi: 10.11648/j.ajae.20180501.15

Copy | Download

@article{10.11648/j.ajae.20180501.15,
  author = {Casmir Onyeneke and Samson Olorunju and Udu Eta and Cyril Nwaonu},
  title = {Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine},
  journal = {American Journal of Aerospace Engineering},
  volume = {5},
  number = {1},
  pages = {30-38},
  doi = {10.11648/j.ajae.20180501.15},
  url = {https://doi.org/10.11648/j.ajae.20180501.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20180501.15},
  abstract = {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.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Weibull Transformation Approach to Formulation of Reliability Model for Analysis of Filth Formation Using Zenith Grinding Machine
AU  - Casmir Onyeneke
AU  - Samson Olorunju
AU  - Udu Eta
AU  - Cyril Nwaonu
Y1  - 2018/03/02
PY  - 2018
N1  - https://doi.org/10.11648/j.ajae.20180501.15
DO  - 10.11648/j.ajae.20180501.15
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 30
EP  - 38
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.20180501.15
AB  - 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.
VL  - 5
IS  - 1
ER  -

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