Risk analysis methodologies can be useful tools to help decision-makers in dam safety engineering. One of the inputs needed for Quantitative Risk Analysis is an estimate of the probability of failure of the dam under study. Existing dams have been designed using the factor of safety, which is a concept associated with a certain mathematical model of the physical behavior of the dam. In dam engi...

The Wettelijk Beoordelingsinstrumentarium (WBI) is the legal set of instruments for flood risk analysis in Netherlands. Often, engineers have impression that some failure probabilities defenses resulting from these are overestimated. In an effort to better estimate dikes along Dutch river Rhine, this study sets out assess them with experts and compare model results. We used Cooke’s method combi...

In this paper we have studied the dependence structure between the time for failure and the cause of failure through conditional probabilities. We have constructed simple U-statistics for testing for departure from independence.

Network location models comprise one of the main categories of location models. These models have various applications in regional and urban planning as well as in transportation, distribution, and energy management. In a network location problem, nodes represent demand points and candidate locations to locate the facilities. If the links network is unchangeably determined, the problem will be ...

Improving protection against fluvial floods requires a better estimation of levee failure. We developed an assessment method failure probabilities for sliding, backward erosion, and overflowing each represented by fragility curves. tested two approaches to aggregate those curves into global curve respectively using: enveloping Monte-Carlo simulations. implemented this approach earthen reliabili...

Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...

Considering a temperature dependent two-level quantum system, we have numerically solved the Landau-Zener transition problem. The method includes the incorporation of temperature effect as a thermal noise added Schrödinger equation for the construction of the Hamiltonian. Here, the obtained results which describe the changes in the system including the quantum states and the transition pro...

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