Time-inhomogenous Markov chains in the bridge management
Abstract
Available Bridge Management Systems vary in detail, but generally they comprise a deterioration model to predict condition development and a preservation optimization model to determine the optimum preservation policy. Time-homogenous Markov chains are commonly used to model condition development in the Bridge Management Systems. The popularity of Markov Chains in the Bridge Management is based on the ability to obtain preservation policies for each element using the Markov Decision Process. It was observed, compared with historical data, that stationary transition probabilities of Markov chains models have fairly rapid initial deterioration. Therefore, the dependency of transition probability on sojourn time in the best/initial condition state has been already modeled in literature with the Weibull survival function. However, the adoption of time-inhomogeneous Markov chains is hampered by mathematical complexity in determining the optimum preservation policy. Procedures for determinat...ion of optimum preservation policy time-inhomogeneous Markov chains are reviewed in this paper and recommendation for practical applications are given.
Source:
Bridge Maintenance, Safety, Management and Life Extension, 2014, 2449-2456Publisher:
- Taylor and Francis - Balkema
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Institution/Community
GraFarTY - CONF AU - Mašović, Snežana AU - Hajdin, Rade PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/614 AB - Available Bridge Management Systems vary in detail, but generally they comprise a deterioration model to predict condition development and a preservation optimization model to determine the optimum preservation policy. Time-homogenous Markov chains are commonly used to model condition development in the Bridge Management Systems. The popularity of Markov Chains in the Bridge Management is based on the ability to obtain preservation policies for each element using the Markov Decision Process. It was observed, compared with historical data, that stationary transition probabilities of Markov chains models have fairly rapid initial deterioration. Therefore, the dependency of transition probability on sojourn time in the best/initial condition state has been already modeled in literature with the Weibull survival function. However, the adoption of time-inhomogeneous Markov chains is hampered by mathematical complexity in determining the optimum preservation policy. Procedures for determination of optimum preservation policy time-inhomogeneous Markov chains are reviewed in this paper and recommendation for practical applications are given. PB - Taylor and Francis - Balkema C3 - Bridge Maintenance, Safety, Management and Life Extension T1 - Time-inhomogenous Markov chains in the bridge management EP - 2456 SP - 2449 UR - https://hdl.handle.net/21.15107/rcub_grafar_614 ER -
@conference{ author = "Mašović, Snežana and Hajdin, Rade", year = "2014", abstract = "Available Bridge Management Systems vary in detail, but generally they comprise a deterioration model to predict condition development and a preservation optimization model to determine the optimum preservation policy. Time-homogenous Markov chains are commonly used to model condition development in the Bridge Management Systems. The popularity of Markov Chains in the Bridge Management is based on the ability to obtain preservation policies for each element using the Markov Decision Process. It was observed, compared with historical data, that stationary transition probabilities of Markov chains models have fairly rapid initial deterioration. Therefore, the dependency of transition probability on sojourn time in the best/initial condition state has been already modeled in literature with the Weibull survival function. However, the adoption of time-inhomogeneous Markov chains is hampered by mathematical complexity in determining the optimum preservation policy. Procedures for determination of optimum preservation policy time-inhomogeneous Markov chains are reviewed in this paper and recommendation for practical applications are given.", publisher = "Taylor and Francis - Balkema", journal = "Bridge Maintenance, Safety, Management and Life Extension", title = "Time-inhomogenous Markov chains in the bridge management", pages = "2456-2449", url = "https://hdl.handle.net/21.15107/rcub_grafar_614" }
Mašović, S.,& Hajdin, R.. (2014). Time-inhomogenous Markov chains in the bridge management. in Bridge Maintenance, Safety, Management and Life Extension Taylor and Francis - Balkema., 2449-2456. https://hdl.handle.net/21.15107/rcub_grafar_614
Mašović S, Hajdin R. Time-inhomogenous Markov chains in the bridge management. in Bridge Maintenance, Safety, Management and Life Extension. 2014;:2449-2456. https://hdl.handle.net/21.15107/rcub_grafar_614 .
Mašović, Snežana, Hajdin, Rade, "Time-inhomogenous Markov chains in the bridge management" in Bridge Maintenance, Safety, Management and Life Extension (2014):2449-2456, https://hdl.handle.net/21.15107/rcub_grafar_614 .