Л. В. Муравьева
Цена: 50 руб.
Принцип максимальной экономичности для сооружений с экономической ответственностью состоит в минимизации средних затрат на строительные конструкции за весь срок их службы. Таким образом, если все ущербы, возникающие вследствие отказов, имеют стоимостное выражение, т.е. могут быть выражены в денежной величине, то возникает вероятностно-оптимизационная задача, при которой следует определить минимум целевой функции.
Ключевые слова: сбалансированный риск, надежность, вероятность безотказной
работы, характеристика безопасности.
REFERENCES
1. Bolotin, V.V. Prediction of machine designs and constructions. 1984, Moscow:
Mechanical Engineering.
2. Chern, M.-S. On the computational complexity of reliability redundancy allocation
in a series system. Operations Research Letters, 1992, Vol. 11, Iss. 5, 309–315.
3. Coit, D.W., & Smith, A.E. Reliability optimization of series-parallel systems using
a genetic algorithm. IEEE Transactions on Reliability, 1996, Vol. 45, Iss. 2, 254–260.
4. Calafi ore, G.C., & Dabbene F. (Eds.). Probabilistic and Randomized Methods for
Design under Uncertainty. 2006, Springer-Verlag.
5. Frangopol, D.M., & Maute, K. Life-cycle reliability-based optimization of civil
structure. Computers and Structures, 2003, Vol. 82, Iss. 7, Pp. 397–410.
6. Dentcheva, D. Optimization Models with Probabilistic Constraints. In Probabilistic and Randomized Methods for Design under Uncertainty, 2006, Pp. 49–97.
7. Ditlevsen, O., & Madsen, H.O. Structural Reliability Methods. 1996, New York:
Willey and Sons.
8. Feller, W. An introduction to probability theory and its applications (Vol. 1, 3rd
ed.). 1968, New York: Wiley and Sons.
9. Geniev, G.A. Questions to optimize the fl ow of materials in multi-systems from
the standpoint of the minimum probability of failure. News of higher educational institutions. Construction, 2002, No. 1–2, 17–22.
10. Gnedenko, B.V., Belyaev, Yu.K., & Soloviev, A.L. Mathematical methods in
reliability theory. 1965, Moscow: Nauka.
11. Perel’muter, A.V. Selected problems of reliability and safety of building structures. 1999, Kiev: Izd Ukrniiproektstalkonstruktsiya.
12. Kiefer, J., & Wolfowitz, J. Stochastic Estimation of the Maximum of a Regression
Function. The Annals of Mathematical Statistics, 1952, Vol. 23, No. 3, Pp. 462–466.
13. Koch, P.N. Probabilistic design: optimizing for six sigma quality. In 43rd AIAA/
ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference,
2002, Denver, Colorado.
14. Raiser, V.D. Reliability theory in building design. 1998, Moscow: Izd ABC.
15. Rzhanitsyn, A.R., Snarskis, B.I., & Sukhov, Y.D. The main provisions of
probabilistic-economic techniques for design of structures. Building mechanics and
calculation of structures, 1979, No. 3, 67–71.
16. Ryabinin, I.A., & Cherkesov, G.N. Logical and probabilistic methods for studying structural and reliability of complex systems. 1981, Moscow: Radio and communication.
17. Ryabinin, I.A. Reliability and safety of complex systems. 2000, SPb: Politechnics.
18. Kryukov, I.E., & Shadrin, A.D. Risk management as a tool for continuous
improvement. Standards and quality, 2006, No. 2, 74–77.
19. von Neumann, J. Theory of Games and Economical Behavior. 1944, Princeton
University Press.
20. Rausand, M. Risk Assessment: Theory, Methods, and Applications. 2011, New
York: Willey and Sons.
