Related Topics and Links:

Analytical Diagram Control Panel

Equation Viewer

Cut Sets

Analytical Quick Calculation Pad (QCP)

Analytical Plots

Simulation Diagrams

BlockSim Analytical Diagrams

BlockSim's reliability block diagrams and fault trees can be configured as analytical diagrams (which use the exact algebraic equation for the model but impose limitations on what can be modeled and what results can be obtained) or as simulation diagrams (which provide more modeling options and results but must be analyzed with discrete event simulation).

In the analytical (or algebraic analysis) approach, the system's pdf is obtained analytically from each component's failure distribution using probability theory. In other words, the analytical approach involves the determination of a mathematical expression that describes the reliability of the system in terms of the reliabilities of its components. Once the system's reliability function has been determined, other calculations can then be performed to obtain metrics of interest for the system. There are several kinds of results available for analytical diagrams:

In addition, allocation analysis can be performed based on the results from analytical diagrams. Allocation analysis helps to decide how the system's reliability can best be improved, based on the reliability importance of the blocks selected for consideration.

Analytical diagrams are appropriate when one is performing "reliability analysis." In the context of BlockSim, we use the term "reliability analysis" to refer to all analyses that do not include repairs or restorations of the component. When considering only the failure characteristics of the components, the analytical approach can be used. However, when both failure and maintenance characteristics need to be considered, the simulation method must be used to take into account the additional events.

 

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