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Optimal Allocation of Components in k-out-of-R Parallel Modules Systems

Published online by Cambridge University Press:  27 July 2009

Fan Chin Meng
Fan Chin Meng
Affiliation:
Institute of Statistical Science, Academia Sinica, Taipei 11529, Taiwan
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Abstract

In this note using the notion of node criticality in Boland, Proschan, and Tong [2] and modular decompositions of coherent systems, we obtain algorithms and guidelines for allocating components in a k-out-of-R parallel modules system to maximize the system reliability. An illustrative example is given to compare a special case of our results with the previous result for series-parallel systems due to El-Neweihi, Proschan, and Sethuraman [5].

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 3 , July 1994 , pp. 435 - 441
Copyright
Copyright © Cambridge University Press 1994

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References

1.Barlow, R.E. & Proschari, F. (1981). Statistical theory of reliability and life testing: Probability models. Silver Spring, MD: To Begin With.Google Scholar
2.Boland, P.J., Proschan, F., & Tong, Y.L. (1989). Optimal arrangement of components via pair-wise rearrangements. Naval Research Logistics 36: 807–815.3.0.CO;2-I>CrossRefGoogle Scholar
3.Derman, C, Lieberman, G.J., & Ross, S.M. (1972). On optimal assembly of systems. Naval Research Logistics Quarterly 19: 569–574.CrossRefGoogle Scholar
4.Derman, C, Lieberman, G.J., & Ross, S.M. (1974). Assembly of systems having maximum reliability. Naval Research Logistics Quarterly 21: 1–12.CrossRefGoogle Scholar
5.El-Neweihi, E., Proschan, F., & Sethuraman, J. (1986). Optimal allocation of components in parallel-series and series-parallel systems. Journal of Applied Probability 23: 770–777.CrossRefGoogle Scholar
6.El-Neweihi, E., Proschan, F., & Sethuraman, J. (1987). Optimal assembly of systems using Schur functions and majorization. Naval Research Logistics Quarterly 34: 705–712.3.0.CO;2-P>CrossRefGoogle Scholar
7.Malon, D.M. (1990). When is greedy module assembly optimal? Naval Research Logistics 37: 847–854.3.0.CO;2-Y>CrossRefGoogle Scholar
8.Meng, F.C. (1994). Comparing criticality of nodes via minimal cut (path) sets for coherent systems. Probability in the Engineering and Informational Sciences 8: 79–87.CrossRefGoogle Scholar