Reliability design of complex systems by minimizing the lifetime variance

Ewa Lobos; Michał Momot

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 4, page 553-557
  • ISSN: 1641-876X

Abstract

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The problem considered in this paper is the minimization of the lifetime variance of a complex system subject to its expected life and economic constraints. The example of a bridge network, in which all elements have constant failure rates, illustrates the problem. A numerical algorithm for solving this optimization problem by using exact formulae for system lifetime moments is included. Using this algorithm, we can obtain results better than the solutions known from earlier papers.

How to cite

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Lobos, Ewa, and Momot, Michał. "Reliability design of complex systems by minimizing the lifetime variance." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 553-557. <http://eudml.org/doc/207611>.

@article{Lobos2002,
abstract = {The problem considered in this paper is the minimization of the lifetime variance of a complex system subject to its expected life and economic constraints. The example of a bridge network, in which all elements have constant failure rates, illustrates the problem. A numerical algorithm for solving this optimization problem by using exact formulae for system lifetime moments is included. Using this algorithm, we can obtain results better than the solutions known from earlier papers.},
author = {Lobos, Ewa, Momot, Michał},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {constant failure rate; redundancy; reliability; lifetime variance; constant failure rates; numerical algorithm},
language = {eng},
number = {4},
pages = {553-557},
title = {Reliability design of complex systems by minimizing the lifetime variance},
url = {http://eudml.org/doc/207611},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Lobos, Ewa
AU - Momot, Michał
TI - Reliability design of complex systems by minimizing the lifetime variance
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 4
SP - 553
EP - 557
AB - The problem considered in this paper is the minimization of the lifetime variance of a complex system subject to its expected life and economic constraints. The example of a bridge network, in which all elements have constant failure rates, illustrates the problem. A numerical algorithm for solving this optimization problem by using exact formulae for system lifetime moments is included. Using this algorithm, we can obtain results better than the solutions known from earlier papers.
LA - eng
KW - constant failure rate; redundancy; reliability; lifetime variance; constant failure rates; numerical algorithm
UR - http://eudml.org/doc/207611
ER -

References

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  2. Barlow R.E. and Proschan F. (1965): Mathematical Theory of Reliability. -New York: Wiley. Zbl0132.39302
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  7. Krishnan Iyer R. and Downs T. (1978): A moment approach to evaluationand optimization of complex system reliability. - IEEE Trans. Reliab., Vol. R-27, No. 3, pp. 226-229. Zbl0381.62079
  8. Levitin G., Lisnianski A., Ben-Haim H. and Elmakis D. (1998): Redundancy optimizationfor series-parallel systems. - IEEE Trans. Reliab., Vol. 47, No. 2, pp. 165-172. 
  9. Lobos E. (2000): On the optimization problem forseries-parallel systems. - Sci. Fasc. Silesian Univ. Technol., Series: Automat. Contr., No. 132, pp. 73-81, (in Polish). 
  10. Prasad V.R. and Raghavachari M. (1998): Optimal allocation of interchangeable components in a series-parallel system. - IEEE Trans. Reliab., Vol. 47, No. 3, pp. 255-260. 
  11. Prasad V.R., Kuo Way, Oh Kim K.M. (1999): Optimal allocation of s-identical, multi-functional spares in a series system. - IEEE Trans. Reliab., Vol. 48, No. 2, pp. 118-126. 

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