COMPLETE IMPORTANCE RANKING FOR COMPONENTS OF BINARY COHERENT SYSTEMS, WITH EXTENSIONS TO MULTI-STATE SYSTEMS.

Naval research logistics quarterly

Volumn 26, Issue 4, 1979, Pages 565-578

  Butler, David ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

BINARY COHERENT SYSTEMS; IMPORTANCE RANKING;

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0018680257     PISSN: 00281441     EISSN: None     Source Type: Journal    
DOI: 10.1002/nav.3800260402     Document Type: Article

References (12)

1. 1 Barlow, R.E., “Coherent Systems with Multi‐State Components,” University of California Operations Research Center Technical Report ORC 77–5, Berkeley, California (January 1977).
2. 2 Barlow, R.E. and F. Proschan, Statistical Theory of Reliability and Life Testing: Probability Models (Holt, Rinehart, and Winston, 1975).
3. 3 Barlow, R.E. and F. Proschan, “Importance of System Components and Fault Tree Events,” Stochastic Processes and Their Applications, Vol. 3, pp. 153–172 (1975).
4. 4 Birnbaum, Z.W., “On the Importance of Different Components in a Multi‐Component System,” in Multivariate Analysis—II, P. R. Krishnaiah (ed.) (Academic Press, New York, 1969).
5. 5 Butler, D.A., “An Importance Ranking for System Components Based upon Cuts,” Operations Research, Vol. 25, No. 5, pp. 874–879 (1977).
6. 6 Butler, D.A., “A Complete Importance Ranking for Components of Binary Coherent Systems, with Extensions to Multi‐State Systems,” Technical Report No. 183, Department of Operations Research, Stanford University, Stanford, CA (1977).
7. 7 El‐Meweihi, E., F. Proschan and J. Sethuraman, “Multi‐State Coherent Systems,” Florida State University Statistics Report M434 (October 1977).
8. 8 Feller, W., An Introduction to Probability Theory and its Applications, Vol. I, 3rd ed., pp. 98–101 (John Wiley and Sons, New York, 1968).
9. 9 Hatoyama, Y., “Fundamental Concepts for Reliability Analysis of Three‐State Systems,” unpublished manuscript, Department of Operations Research, Stanford University (1976).
10. 10 Lambert, H.E., “Measures of Importance of Events and Cut‐Sets in Fault Trees,” Lawrence Livermore Laboratory UCRL‐75853 (October 1974).
11. 11 Murchland, J.D., “Fundamental Concepts and Relations for Reliability Analysis of Multi‐State Systems,” Reliability and Fault Tree Analysis, Society for Industrial and Applied Mathematics (1975).
12. 12 Postelnicu, V., “Nondichotomic Multi‐Component Structures,” Bulletin Mathematique de la Societe des Sciences Mathematiques de la Republique Socialiste de Roumanie, Vol. 14, (62), No 2, pp. 209–217, (1970).