Reliability models of m-out-of-n systems under incomplete information

Computers and Operations Research

Volumn 31, Issue 10, 2004, Pages 1681-1702

  Utkin, Lev V ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Imprecise probability theory; M out of n system; Possibility measure; Reliability

Indexed keywords

COMPUTER SOFTWARE; MAN MACHINE SYSTEMS; PROBABILITY DISTRIBUTIONS; RELIABILITY;

SYSTEM COMPONENTS;

COMPUTER SYSTEMS;

RELIABILITY ANALYSIS;

EID: 1842711649     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0305-0548(03)00115-1     Document Type: Article

References (19)

1. Barlow R. Heidtmann K. Computing k-out-of-n system reliability IEEE Transactions on Reliability 33 1984 322-323
2. Kapur K. Lamberson L. Reliability in engineering design 1985 Prentice-Hall Englewood Cliffs, NJ
3. Pham H. On the optimal design of k-out-of-n:g subsystems IEEE Transactions on Reliability 41 1992 572-574
4. Risse T. On the evaluation of the reliability of k-out-of-n systems IEEE Transactions on Reliability 36 1987 433-435
5. Goseva-Popstojanova K, Grnarov A. Performability modeling of n version programming technique. In: Proceedings of the Sixth IEEE International Symposium on Software Reliability Engineering (ISSRE'95), Toulouse, France, 1995, p. 209-18.
6. Walley P. Statistical reasoning with imprecise probabilities 1991 Chapman and Hall London
7. Kuznetsov VP. Interval statistical models, radio and communication. Moscow, 1991 [in Russian].
8. Weichselberger K. The theory of interval-probability as a unifying concept for uncertainty International Journal of Approximate Reasoning 24 2000 149-170
9. Weichselberger K. Elementare Grundbegriffe einer allgemeineren Wahrscheinlichkeitsrechnung, vol. I Intervallwahrscheinlichkeit als umfassendes Konzept. Heidelberg. Physika, 2001.
10. Gurov S, Utkin L. Reliability of systems under incomplete information. Saint Petersburg: Lubavich Publications, 1999 [in Russian].
11. Kozine I. Filimonov Y. Imprecise reliabilities: experiences and advances Reliability Engineering and System Safety 67 2000 75-83
12. Utkin L. Gurov S. Imprecise reliability of general structures Knowledge and Information Systems 1 4 1999 459-480
13. Utkin L, Gurov S. New reliability models based on imprecise probabilities. In: Hsu C, editor. Advanced signal processing technology. Singapore: World Scientific, 2001. p. 110-39 [chapter 6].
14. Barlow R. Proschan F. Statistical theory of reliability and life testing: probability models 1975 Holt, Rinehart and Winston New York
15. Utkin L. Kozine I. Different faces of the natural extension de Cooman G. Fine T. Seidenfeld T. Imprecise probabilities and their applications. Proceedings of the Second International Symposium ISIPTA'01 2001 316-323 Shaker Publishing Ithaca, USA
16. Walley P. Measures of uncertainty in expert systems Artificial Intelligence 83 1996 1-58
17. Dubois D. Prade H. Possibility theory: an approach to computerized processing of uncertainty 1988 Plenum Press New York
18. Dubois D. Prade H. When upper probabilities are possibility measures Fuzzy Sets and Systems 49 1992 65-74
19. Utkin L. Kozine I. Computing the reliability of complex systems de Cooman G. Fine T. Seidenfeld T. Imprecise probabilities and their applications. Proceedings of the Second International Symposium ISIPTA'01 2001 324-331 Shaker Publishing Ithaca, USA