Stress-strength reliability models under incomplete information

International Journal of General Systems

Volumn 31, Issue 6, 2002, Pages 549-568

  Utkin, Lev V ^a,d,e   Kozine, Igor O ^b,c  

^a SAINT PETERSBURG STATE FOREST TECHNICAL UNIVERSITY   (Russian Federation)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c Risø ^*  (Denmark)

^d UNIVERSITY OF MUNICH   (Germany)

^e Alexander von Humboldt Stiftung   (Germany)

Author keywords

Distributions on nested intervals; Imprecise probabilities; Optimisation problem; Partial information; Stress and strength; Structural reliability

Indexed keywords

IMPRECISE PROBABILITIES; PARTIAL INFORMATION; STRUCTURAL RELIABILITY;

RELIABILITY; STRAIN;

STRESS ANALYSIS;

EID: 4344594525     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/0308107021000061885     Document Type: Article

References (13)

1. Ayyub, B.M. and Lai, K.-L. (1992) "Structural reliability assessment with ambiguity and vagueness in failure", Naval Engineers Journal 104(3), 21-35.
2. Barlow, R.E. and Proschan, F. (1965) Mathematical Theory of Reliability (Wiley, New York).
3. Chao, R. and Ayyub, B.M. (1996) "Structural analysis with fuzzy variable", Microcomputers in Civil Engineering 11, 47-59.
4. Dhillon, B.S. (1999) Design Reliability: Fundamentals and Applications (CRC Press, Boca Raton, FL).
5. Dubois, D. and Prade, H. (1992) "When upper probabilities are possibility measures", Fuzzy Sets and Systems 49, 65-74.
6. Feller, W. (1971) An Introduction to Probability Theory and Its Applications, 2nd ed. (Wiley, New York) Vol. 2.
7. Guidelines for Design of Wind Turbines. (2001) Technical report, A publication from DNV/Risø in technical co-operation. DSI Grafisk Service, Denmark.
8. Gurov, S.V. and Utkin, L.V. (1999) Reliability of Systems Under Incomplete Information (Lubavich Publ., Saint Petersburg), In Russian.
9. Kuznetsov, V.P. (1991) Interval Statistical Models (Radio and Communication, Moscow), In Russian.
10. Lai, K.-L. and Ayyub, B.M. (1994) "Generalized uncertainty in structural reliability assessment", Civil Engineering Systems 11(2), 81-110.
11. Utkin, L.V. and Kozine, I.O. (2001) "Different faces of the natural extension", In: de Cooman, G., Fine, T. and Seidenfeld, T., eds, Imprecise Probabilities and Their Applications. Proceedings of the 2nd International Symposium ISIPTA'01 (Shaker Publishing, Ithaca, USA), pp. 316-323.
12. Walley, P. (1991) Statistical Reasoning with Imprecise Probabilities (Chapman and Hall, London).
13. Walley, P. (1996) "Measures of uncertainty in expert systems". Artificial Intelligence 83, 1-58.