Research Article Open Access

Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula

Neama Salah Youssef Temraz1
  • 1 Tanta University, Egypt
American Journal of Applied Sciences
Volume 15 No. 1, 2018, 70-83

DOI: https://doi.org/10.3844/ajassp.2018.70.83

Submitted On: 7 July 2017 Published On: 3 February 2018

How to Cite: Temraz, N. S. Y. (2018). Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula. American Journal of Applied Sciences, 15(1), 70-83. https://doi.org/10.3844/ajassp.2018.70.83

Abstract

This paper analyze a parallel system consisted of n dependent components with lifetimes follow Weibull distribution. FGM Copula in multivariate case is used to generate the reliability function of the original system. Reduction method is introduced to improve system reliability. Other methods of hot, cold and warm duplication are established to improve system reliability. An application using real time data is introduced to show the results and compare between different improvement methods.

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Keywords

  • FGM Copula
  • Reliability
  • Parallel System
  • Dependent Units
  • Probability Density Function
  • Distribution Function
  • Hazard Rate Function
  • Weibull Distribution
  • Cold Standby
  • Warm Standby
  • Hot Standby
  • Reduction Method
  • Equivalence Factors