Ubicación óptima de reserva en un sistema serie con respecto al orden de tasa de fallo

Authors

  • Henry Laniado Universidad de Antioquia
  • Gustavo Mejía Universidad EAFIT

Keywords:

Reliability, stochastic orders, redundancy allocations.

Abstract

In this paper, we consider the problem of alocating K active reserves, whose lifetimes are independent identically distributed random variables, equal to the system series components; with the purpose of optimizing system failure rate function. As opposed to the work by Sing and Singh, our discussion yields the same results using more elementary methods.

MSC: 62-xx, 62N05, 90B25

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Author Biographies

  • Henry Laniado, Universidad de Antioquia
    Magister en Matemáticas Aplicadas
  • Gustavo Mejía, Universidad EAFIT
    Doctor en Ciencias Matemáticas

References

P. J. Boland, E. El-Neweihi y F. Proschan, Stochastic Order for Redundancy Allocations in Series and Parallel Systems, Adv. Appl. Prob. 24, 161–171 (1992).

M. Shaked y J. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, Inc., 1994.

S.M. Ross, Stochastic processes, second edition, John Willy & Sons, Inc., 1996.

H. Singh y R.S. Singh, Note: Optimal Allocation of Resources to Nodes of Series Systems with Respect to Failure Rate Ordering, Naval Research Logistics, 44, 147–152 (1997).

A. Müller y D. Stoyan, Comparison methods for stochastic models and risks, John Wiley & Sons, New York, 2002.

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How to Cite

Laniado, H., & Mejía, G. (2005). Ubicación óptima de reserva en un sistema serie con respecto al orden de tasa de fallo. Ingeniería Y Ciencia, 1(1), 21-27. https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/500

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