Redundancy Index of Lifeline Systems
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Volume 128, Issue 9
Abstract
Basic consideration is made on how comprehensively we can evaluate potential seismic risk of lifeline systems and gain an insight into the safety by way of information entropy, which transmits information of various kinds under uncertainties. It is clarified that a redundancy index defined via Shannon’s information entropy can be an index to represent redundancy of a system and whose value plays a role in choosing the best alternative for designing a system or for finding the best damage mitigation measure against earthquake hazard. First, numerical analyses are carried out for a parallel cable system and a water supply network system to justify the validity of to represent a redundancy measure. Second, an example is demonstrated on how to elucidate system defect of a water supply network and to find an optimal solution for mitigation.
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References
Cornell, C. A.(1967). “Bounds on the reliability of structural systems.” J. Struct. Div., ASCE, 93(ST1), 171–200.
De, R. S., Karamchandani, A., and Cornell, C. A. (1989). “Study of redundancy in near-ideal parallel structural systems.” Proc., 5th Int. Conf. on Structural Safety and Reliability, San Francisco, 975–982.
Freudenthal, A. M., Garrelts, J. M., and Shinozuka, M.(1966). “The analysis of structural safety.” J. Struct. Div., ASCE, 92(ST1), 267–326.
Hoshiya, M.(1971). “Reliability of redundant cable system.” J. Struct. Div., ASCE, 97(ST11), 2773–2776.
Hoshiya, M. (1999). “Reliability vs uncertainty in structural safety.” Proc., 8th Int. Conf. on Application of Probability and Statistics, Sydney, Australia, 1131–1134.
Hoshiya, M., and Yamamoto, K. (2000). “Information entropy for redundancy of engineering systems.” Proc., Int. Conf. on Monte Carlo Simulation, Monte Carlo, 273–278.
Khinchin, A. I. (1957). Mathematical foundations of information theory, Dover, New York.
Kullback, S. (1959). Information theory and statistics, Dover, New York.
Moses, F., and Kinser, D. E.(1967). “Analysis of structural reliability.” J. Struct. Div., ASCE, 93(ST5), 147–164.
Shannon, C. E., and Weaver, W. (1949). The mathematical theory of communication, Univ. of Illinois Press, Urbana, Ill.
Wen, Y. K., Wang, C.-H., and Song, S. H. (1999). “Structural redundancy under stochastic loads.” Proc., 4th Int. Conf. on Stochastic Structural Dynamics, Notre Dame, Ind., 213–220.
Yamamoto, K., Ohno, H., and Hoshiya, M. (2001). “Redundancy and reliability of engineering systems with information entropy.” Proc., of ICOSSAR’01, Los Angeles, in press.
Yao, J. T. P., and Yeh, H. Y.(1969). “Formulation of structural reliability.” J. Struct. Div., ASCE, 95(ST12), 2611–2620.
Ziha, K. (1998). “Entropy of a subsystem of events.” Proc., 20th Int. Conf. on Information Technology Interfaces ITI’98, Pula, Croatia, 451–454.
Ziha, K. (1999). “Usage of relative uncertainty measures.” Proc., 21st Int. Conf. on Information Technology Interfaces ITI’99, Pula, Croatia, 269–274.
Ziha, K. (2000a). “Event oriented system analysis.” Probabilistic Engineering Mechanics, Vol. 15, Chap. 3, Elsevier, England, 261–275.
Ziha, K. (2000b). “Redundancy and robustness of systems of events.” Probabilistic engineering mechanics, Vol. 15, Chap. 4, Elsevier, England, 347–357.
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 9 • September 2002
Pages: 961 - 968
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: May 31, 2001
Accepted: Dec 17, 2001
Published online: Aug 15, 2002
Published in print: Sep 2002
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