Minimal standby redundancy allocation in a k-out-of-n:F system of dependent components

European Journal of Operational Research

Volumn 165, Issue 3, 2005, Pages 786-793

  Da Costa Bueno, Vanderlei ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

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

Indexed keywords

MAINTENANCE; PROBABILITY; PROBLEM SOLVING; RANDOM PROCESSES; REDUNDANCY; RELIABILITY; THEOREM PROVING; VECTORS;

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

OPERATIONS RESEARCH;

EID: 13444302452     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2003.01.004     Document Type: Article

References (12)

1. Arjas E. The failure and hazard processes in multivariate reliability system. Mathematics Operations Research. 6(4):1981;551-562
2. Barlow R., Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models. 1981;Mc Ardle Press, Inc., Silver Spring, MD
3. Boland P.J., Proschan F., Tong Y.L. Optimal arrangement of components via pairwise rearrangements. Naval Research Logistic. 36:1989;807-815
4. Boland P., El-Neweihi E., Proschan F. Stochastic order for redundancy allocations in series and parallel systems. Advanced Applied Probability. 24:1992;161-171
5. Bueno, V.C., 1996. Comparing component redundancy allocation in a k -out-of- n : system. Technical Report RT-MAE-9612. MAE - IME - Universidade de São Paulo
6. Karlin S. Total Positivity. 1968;Stanford University Press
7. Karlin S., Rinnot Y. Classes of orderings of measuresand related correlation inequalities: Multivariate reverse rules distributions. Journal of Multivariate Analysis. 10:1980;499-516
8. Kotz S., Johnson N. Encyclopedia of Statistical Sciences. vol. 5:1985;Wiley, New York
9. Kwieciński, Szekli Compensator conditions for stochastic ordering of point processes. Journal of Applied Probability. 28:1991;751-761
10. Meng F.C. More on optimal allocation of components in coherent systems. Journal of Applied Probability. 33:1996;548-556
11. Prasad V.R., Kuo W., Oh Kim K.M. Optimal allocation of identical, multi-functional spares in a series system. IEEE Transactions on Reliability. 48(2):1999;118-126
12. Singh H., Misra N. On redundancy allocation in systems. Journal of Applied Probability. 31:1994;1004-1014