Markovian Models for Bridge Maintenance Management

Scherer, William T.; Glagola, Douglas M.

doi:10.1061/(asce)0733-947x(1994)120:1(37)

Cited by 128 publications

(59 citation statements)

References 5 publications

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“…Specifically, an optimization model of sequential decision making based on the controlled Markov process is developed, and called Markov decision process, cf. [4] for an introduction to the concepts and see e.g., [5,6] for applications.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: Sensitivity Analysis Based on Markovian Integration by Parts Formula

Hang

Liu

et al. 2017

MCA

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Sensitivity analysis is widely applied in financial risk management and engineering; it describes the variations brought by the changes of parameters. Since the integration by parts technique for Markov chains is well developed in recent years, in this paper we apply it for computation of sensitivity and show the closed-form expressions for two commonly-used time-continuous Markovian models. By comparison, we conclude that our approach outperforms the existing technique of computing sensitivity on Markovian models.

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Section: Introductionmentioning

confidence: 99%

RETRACTED: Sensitivity Analysis Based on Markovian Integration by Parts Formula

Hang

Liu

et al. 2017

MCA

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“…The explicit inclusion of the failure state m as a condition state allows us to take into account the effect of structural deterioration on structural safety. This inclusion clearly differs from existing infrastructure management system, where failure is addressed only indirectly via the verbal description of the most severe condition state as "requiring immediate action" 10), 29) .…”

Section: Deterioration Model (1) Condition Statesmentioning

confidence: 99%

“…Typically, bridge management systems utilize only five to seven condition states 5),6),8),10), 29) . However, we can always lump our m = 21 states to a smaller number of, say, seven states.…”

Section: Numerical Examples (1) Transition Matrixmentioning

confidence: 99%

Cost-Benefit Based Optimization of Maintenance Interventions for Deteriorating Structures

Higuchi

Macke

2007

Structural Eng./Earthquake Eng.

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In most more economically developed countries an ever growing percentage of existing structures is threatened by obsolescence in the short-to medium-term-either because of structural deficits due to deterioration, or due to functional aging. To ensure sustained serviceability and safety of these structures, maintenance interventions are utilized, which allow partial or complete structural rehabilitation. However, such maintenance interventions have to be economically reasonable, that is, maintenance expenditures spent have to be outweighed by expected future benefits. For this purpose, we propose herein a novel optimization formulation for maintenance planning based on cost-benefit criteria. The usefulness of the proposed approach lies in the fact, that it not only allows to determine optimal sequences of maintenance times, rehabilitation levels and inspection qualities, but also allows to specify economically optimal lifetimes and acceptable failure rates of structures. The modeling of structural deterioration and maintenance, as well as the setting of all relevant cost factors is discussed in detail. Numerical examples investigate the effect of imperfect execution of maintenance actions and functional aging.

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“…However, a predictive solution relies on the validity of the underlying deterioration model. Scherer and Glagola (1994) [8], Wirahadikusumah et al (2001) [9] and Morcous (2006) [10], among others have studied the validity of the state independence assumption of the Markov model. This assumption assumes that the future condition of a bridge element depends only on its present condition and not on its past condition, implying that bridge deterioration is a stationary process.…”

Section: Figure 1 Condition State Frequencymentioning

confidence: 99%