Active redundancy allocation for a k-out-of-n:F system of dependent components

European Journal of Operational Research

Volumn 176, Issue 2, 2007, Pages 1041-1051

  da Costa Bueno, Vanderlei ^a   Martins do Carmo, Iran ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Active redundancy; k out of n:F system; Marked point process; Martingales; Minimal standby redundancy; Reliability; Reverse rule of order 2

Indexed keywords

ACTIVE REDUNDANCY; K-OUT-OF-N:F SYSTEM; MARKED POINT PROCESS; MARTINGALES; MINIMAL STANDBY REDUNDANCY; REVERSE RULE OF ORDER 2;

COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING;

OPERATIONS RESEARCH;

EID: 33749550702     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2005.09.012     Document Type: Article

References (18)

1. Arjas E. A stochastic process approach to multivariate reliability system: Notions based on conditional stochastic order. Mathematics of Operations Research 6 2 (1981) 263-276
2. Arjas E. The failure and hazard processes in multivariate reliability system. Mathematics of Operations Research 6 4 (1981) 551-562
3. Arjas E., and Yashin A. A note on random intensities and conditional survival functions. Journal of Applied Probability 25 (1988) 630-635
4. Aven T., and Jensen U. Stochastic Models in Reliability (1999), Springer-Verlag, New York
5. Boland P.J., Proschan F., and Tong Y.L. Optimal arrangement of components via pairwise rearrangements. Naval Research Logistic 36 (1989) 807-815
6. Boland P., El-Neweihi E., and Proschan F. Stochastic order for redundancy allocations in series and parallel systems. Advanced Applied Probability 24 (1992) 161-171
7. Bremaud P. Point Processes and Queues: Martingale Dynamics (1981), Springer-Verlag, New York
8. Bueno, V.C., 2004. A constructive example for minimal standby redundancy allocation in a k-out-of-n:F system under dependence conditions. RT-MAE-2004-14. MAE-IME-Universidade de São Paulo.
9. Bueno V.C. Minimal standby redundancy allocation in a k-out-of-n:F system of dependent components. European Journal of Operational Research 165 (2005) 786-793
10. Bueno, V.C., 2005b. A series representation of a coherent system. RT-MAE-2005-20. MAE-IME. Universidade de São Paulo.
11. Karlin S. Total Positivity (1968), Stanford University Press
12. In: Kotz S., and Johnson N. (Eds). Encyclopedia of Statistical Sciences vol. 5 (1985), Wiley, New York
13. Kuo W., and Prasad V.R. An annotated overview of system reliability optimization. IEEE Transactions on Reliability 49 2 (2000) 176-187
14. Kuo W., Prasad V.R., Tillman F., and Hwang L. Optimal Reliability Design (2001), Cambridge University Press
15. Kwieciński A., and Szekli R. Compensator conditions for stochastic ordering of point processes. Journal of Applied Probability 28 (1991) 751-761
16. Meng F.C. More on optimal allocation of components in coherent systems. Journal of Applied Probability 33 (1996) 548-556
17. Prasad V.R., Kuo W., and Oh Kim K.M. Optimal allocation of identical, multi functional spares in a series system. IEEE Transactions on Reliability 48 2 (1999) 118-126
18. Singh H., and Misra N. On redundancy allocation in systems. Journal of Applied Probability 31 (1994) 1004-1014