# Reliability design of complex systems by minimizing the lifetime variance

International Journal of Applied Mathematics and Computer Science (2002)

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

## Access Full Article

top## Abstract

top## How to cite

topLobos, 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

top- Amari S.V., Dugan J.B. and Misra R.B. (1999): Optimal reliability of systems subjectto imperfect fault-coverage. - IEEE Trans. Reliab., Vol. 48, No. 3, pp. 275-284.
- Barlow R.E. and Proschan F. (1965): Mathematical Theory of Reliability. -New York: Wiley. Zbl0132.39302
- Coit D.W. and Smith A.E. (1996): Reliability optimization of series-parallel systems using a genetic algorithm. - IEEE Trans. Reliab., Vol. 45, No. 2, pp. 254-260.
- Coit D.W. and Smith A.E. (1998): Redundancy allocation to maximize a lower percentile of the system time-to-failure distribution. - IEEE Trans. Reliab., Vol. 47, No. 1, pp. 79-87.
- Kopociński B. (1973): Outline of Renewal and Reliability Theories. -Warsaw: Polish Scientific Publishers, (in Polish). Zbl0365.60003
- Krishnan Iyer R. and Downs T. (1977): A variance minimization method of reliability design. - IEEE Trans. Reliab., Vol. R-26, No. 2, pp. 106-110. Zbl0365.62093
- 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
- 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.
- 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).
- 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.
- 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.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.