Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-30T22:08:35.094Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  27 July 2009

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

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
Copyright
Copyright © Cambridge University Press 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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: 807815.3.0.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: 569574.CrossRefGoogle Scholar
4.Derman, C, Lieberman, G.J., & Ross, S.M. (1974). Assembly of systems having maximum reliability. Naval Research Logistics Quarterly 21: 112.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: 770777.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: 705712.3.0.CO;2-P>CrossRefGoogle Scholar
7.Malon, D.M. (1990). When is greedy module assembly optimal? Naval Research Logistics 37: 847854.3.0.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: 7987.CrossRefGoogle Scholar