Reliability design of complex systems by minimizing the lifetime variance
Lobos, Ewa ; Momot, Michał
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002), p. 553-557 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:207611
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     title = {Reliability design of complex systems by minimizing the lifetime variance},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {12},
     year = {2002},
     pages = {553-557},
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Lobos, Ewa; Momot, Michał. Reliability design of complex systems by minimizing the lifetime variance. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 553-557. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p553bwm/

[000] 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.

[001] Barlow R.E. and Proschan F. (1965): Mathematical Theory of Reliability. -New York: Wiley. | Zbl 0132.39302

[002] 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.

[003] 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.

[004] Kopociński B. (1973): Outline of Renewal and Reliability Theories. -Warsaw: Polish Scientific Publishers, (in Polish). | Zbl 0365.60003

[005] 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. | Zbl 0365.62093

[006] 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. | Zbl 0381.62079

[007] 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.

[008] 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).

[009] 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.

[010] 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.