By introducing two influencing degree-vector to stress the importance of the point in network,it shows that the new algorithm can not only solve network connectivity and determine the minimum vertex-cut,but also simple and easy to implement.

The system risk is analyzed based on the minimum cut sets which are solved using the Semanderes algorithm.

The minimum cut sets(fault spectrums) are obtained by qualitative analysis.

Qualitative analysis and quantitative analysis are made by using of fault tree analysis,minimum cut sets and importance are calculated.

All of minimum cut sets of fault trees are found out and the qualitative analysis .

Introduces a new simulation method based on the minimum cut sets of fault tree, analyzes the way using the method in the research of the reliability of FMS, a case is presented to prove its correctness.

On finding the versatile solution of the least cut set and least path set in Fault Tree Analysis by computer;

In the first layer calculation, the reliability is redistributed among the least cut sets, and then the reliability is equivalently distributed among the basic events in the second laye.

Secondly,the fault tree is qualitatively analyzed by using the least cut set method and all possible failure modes of the system are got.

Minimal cut set and minimal path set are introduced to develop causality diagram methodology.

This paper presents an approximate algorithm based on simulated annealing to achieve the maximum probability of the minimal cut sets for a fault tree.

A method using incidence matrix of Petri net to identify the minimal cut sets(MCS) was proposed.

Calculation of system reliability for mine ventilation network based on boolean manipulation and minimization algorithm in the minimal cut sets;

Calculation the fault tree s minimal cut sets of the minimum equipment list;

Dynamic generation of safety test case based on minimal cut sets;