Reliability design of complex systems by minimizing the lifetime variance

• Autorzy: Ewa Lobos , Michał Momot
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

constant failure rate; redundancy; reliability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: 12
• Numer: 4
• Strony: 553-557

Daty

wydano

2002

otrzymano

2001-02-28

poprawiono

2001-05-16

Twórcy

autor

Ewa Lobos

• Silesian University of Technology, Institute of Mathematics, ul. Kaszubska 23, 44-101 Gliwice, Poland

autor

Michał Momot

• Institute of Medical Technology and Equipment, Zabrze, Poland

Bibliografia

• 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.
• 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).
• 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.
• 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.
• 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.