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Reliability Evaluation of Engineering System Using Modified Weibull Distribution

Author Affiliations

  • 1Department of Statistics, University of Kashmir, Srinagar, 190006, J&K, INDIA
  • 2Department of Statistics, University of Kashmir, Srinagar, 190006, J&K, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (7), Pages 1-8, July,12 (2015)


Growing concern about the increasing number of disasters, safety is the main criterion to design every system. In this paper a complex bridge system is considered which includes five independent components whose longevity follows modified Weibull distribution function. The main aim of this paper is to enhance the system reliability by reduction method, warm duplication method and cold duplication method. In each method four sets of components are considered for improvement and their reliability functions reformulated. The three methods are compared with a numerical example.


  1. Misra K.B., Reliability Optimization through SequentialSimple Search, International Journal of Control, 18(1),173-183 (1973)
  2. Beraha D. and. Misra K.B., Reliability Optimizationthrough Random Search Algorithms, MicroelectronReliability, 13(4), 295-297 (1974)
  3. Deep K. and Dipti, Reliability Optimization of ComplexSystems through C-SOMGA, Journal of Information andComputing Science, 4(3), 163-172 (2009)
  4. Mohan C. and Shanker K.., Reliability Optimization ofComplex Systems using Random Search Technique, Microelectronics and Reliability. 28(4), 513-518 (1988)
  5. Sarhan A.M., Reliability Equivalence with a BasicSeries/Parallel System, Applied Mathematics andComputation. 132 (1), 115-133 (2002)
  6. Ezzati G. and Rasouli A., Evaluating system reliabilityusing linear-exponential distribution function, International Journal of Advanced Statistics andProbability, 3 (1), 15-24 (2015)
  7. Ezzati G. and Mammadov M. and Kulkarni S., A NewReliability Analysis Method based on the ConjugateGradient Direction, Structural and MultidisciplinaryOptimization, DOI: 10.1007/s00158-014-1113-z (2014)
  8. Mahmoud M.A.W. and Alam F.M.A., The GeneralizedLinear Exponential Distribution, Statistics and ProbabilityLetters, 80, 1005-1014 (2010)
  9. Mustafa A., Reliability Equivalence Factors for SomeSystems with Mixture Weibull Failure Rates, AmericanJournal of Mathematics and Statistics, 2(1), 6-12 (2012)
  10. Sarhan A.M. and Apaloo J., Exponentiated ModifiedWeibull Extension Distribution, Reliability Engineeringand System Safety., 112, 137-144 (2013)
  11. Sarhan A.M., Ahmad A.E.A. and Alasbahi I.A., Exponentiated Generalized Linear ExponentialDistribution, Applied Mathematical Modelling, 37(5),2838-2849 (2013)
  12. Khan Adil H. and Jan T.R., Estimation of MultiComponent Systems Reliability in Stress-StrengthModels, Journal of Modern Applied Statistical Methods.13(2), Article 21 (2014)
  13. Khan Adil H. and Jan T.R., Estimation of Stress-StrengthReliability Model Using Finite Mixture of Two ParameterLindley Distributions, Journal of Statistics Applicationsand Probability, 4(1), 147-159 (2015)
  14. Muraleedharan G., Res. J., Characteristic and MomentGenerating Functions of Three Parameter WeibullDistribution-an Independent Approach, Mathematical andStatistical Sci., 1(8), 25-27(2013)
  15. Kusum Lata Singh and R.S. Srivastava, Inverse MaxwellDistribution as a Survival Modal, Genesis and ParameterEstimation, Res., J. Mathematical and Statistical Sci.,2(7), 23-28 (2014)