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A reliability comparison of basic systems using hazard rate functions

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  • Philip J. Boland

Abstract

The hazard rate function is a key tool in reliability theory and represents the instantaneous rate of failure of an item at time t given survival at time t. The hazard rate function of a system of components is closely related to the hazard rate of the components, and we see how this varies as the components vary in k‐out‐of‐n systems. The impact that redundancy has on the hazard rate function of a system is also investigated, and a design problem involving majority logic in the assembly of systems is also considered. The emphasis in the paper is on the use of graphical illustrations of hazard rate functions. © 1998 John Wiley & Sons, Ltd.

Suggested Citation

  • Philip J. Boland, 1997. "A reliability comparison of basic systems using hazard rate functions," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 13(3‐4), pages 377-384, September.
    • Handle: RePEc:wly:apsmda:v:13:y:1997:i:3-4:p:377-384
    DOI: 10.1002/(SICI)1099-0747(199709/12)13:3/43.0.CO;2-8
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    Cited by:

    1. Paltanea, Eugen, 2011. "Bounds for mixtures of order statistics from exponentials and applications," Journal of Multivariate Analysis, Elsevier, vol. 102(5), pages 896-907, May.
    2. Xiaohu Li & Zhengcheng Zhang & Yudan Wu, 2009. "Some new results involving general standby systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(5), pages 632-642, September.
    3. Brito, Gerandy & Zequeira, Romulo I. & Valdés, José E., 2011. "On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 201-206, February.

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