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Distribution Function and its Applications in Software Reliability

Volume 15, Number 5, May 2019, pp. 1306-1313
DOI: 10.23940/ijpe.19.05.p6.13061313

Hoang Pham

Department of Industrial and Systems Engineering, Rutgers University, Piscataway, 08854, USA

(Submitted on November 23, 2017; Revised on February 23, 2018; Accepted on April 9, 2018)


In this paper, we present a new distribution function that characterizes using a Vtub-shaped failure rate function. We discuss the characteristics of the distribution and determine the confidence intervals of the Vtub-shaped failure rate. We also illustrate the proposed distribution function with an application in software reliability modeling by using the new Vtub-shaped failure rate as the time-dependent fault detection rate per fault in a recent generalized software reliability model with the uncertainty of operating environments.


References: 23

    1. H. Pham, “Modeling U.S. Mortality and Risk-Cost Optimization on Life Expectancy,” IEEE Transactions on Reliability, Vol. 60, No. 1, pp. 125-133, 2011
    2. H. Pham and C. -D. Lai, “On Recent Generalization of the Weibull Distribution,” IEEE Transactions on Reliability, Vol. 56, No. 3, pp. 454-458, 2007
    3. H. Pham, “A New Software Reliability Model with Vtub-Shaped Fault-Detection Rate and the Uncertainty of Operating Environments,” Optimization-A Journal of Mathematical Programming and Operations Research, Vol. 63, No. 10, pp. 1481-1490, 2014
    4. H. Pham, “A Vtub-Shaped Hazard Rate Function with Applications to System Safety,” International Journal of Reliability and Applications, Vol. 3, No. 1, pp. 1-16, 2002
    5. H. Pham, “A Generalized Fault-Detection Software Reliability Model Subject to Random Operating Environments,” Vietnam Journal of Computer Science, Vol. 3, No. 3, pp. 145-150, 2016
    6. Q. Li and H. Pham, “NHPP Software Reliability Model Considering the Uncertainty of Operating Environments with Imperfect Debugging and Testing Coverage,” Applied Mathematical Modelling, Vol. 41, No. 11, pp. 68-85, November 2017


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