Inhaltsangabe
Content
Preface
List of figures
List of tables
List of symbols and abbreviations
1 Example 1: Reference example
1.1 Mathematical foundation for the integration of Markov minimal
cuts (MMC)
1.2 Precise modeling of the MMC and the system up and down
state
1.3 Precise calculation of the Markov models
1.4 Approximate modeling of the MMC
1.5 Approximate calculation of the MMC models with the pMp
approach
1.6 Equivalent DBD based on MC
1.7 Results
1.8 Extension
1.9 Remark to deviations - Model accuracy
1.10 Preliminary research and related terms and methods
2 Example 2.1 and 2.2: Parallel-to-series structure
2.1 Example 2.1: Multiple common cause failures (CCF)
2.1.1 Precise modeling of the MMC and the system up and
down state
2.1.2 Approximate modeling of the MMC
2.1.3 Approximate calculation of the MMC models with the
pMp approach
2.1.4 Equivalent DBD based on MC
2.1.5 Results
2.2 Example 2.2: Mix of s-dependencies
2.2.1 Precise modeling of the MMC and the system up and
down state
2.2.2 Approximate modeling of the MMC
2.2.3 Approximate calculation of the MMC models with the
pMp approach
2.2.4 Equivalent DBD based on MC
2.2.5 Results
Chapter x 6
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3 Example 3.1 and 3.2: Series-to-parallel structure
3.1 Example 3.1: Multiple common cause failures (CCF)
3.1.1 Precise modeling of the MMC and the system up and
down state
3.1.2 Approximate modeling of the MMC
3.1.3 Approximate calculation of the MMC models with the
pMp approach
3.1.4 Equivalent DBD based on MC
3.1.5 Results
3.2 Example 3.2: Mix of s-dependencies
3.2.1 Precise modeling of the MMC and the system up and
down state
3.2.2 Approximate modeling of the MMC
3.2.3 Approximate calculation of the MMC models with the
pMp approach
3.2.4 Equivalent DBD based on MC
3.2.5 Results
4 Example 4: 4-out-of-4 (4oo4)
4.1 Precise modeling of the MMC and the system up and down
state
4.2 Approximate modeling of the MMC
4.3 Approximate calculation of the MMC models with the pMp
approach
4.4 Equivalent DBD based on MC
4.5 Results
5 Example 5: 3-out-of-4 (3oo4)
5.1 Precise modeling of the MMC and the system up and down
state
5.2 Approximate modeling of the MMC
5.3 Approximate calculation of the MMC models with the pMp
approach
5.4 Equivalent DBD based on MC
5.5 Results
6 Example 6.1 and 6.2: 2-out-of-4 (2oo4)
6.1 Example 6.1: Multiple common cause failures (CCF)
6.1.1 Precise modeling of the MMC and the system up and
down state
6.1.2 Approximate modeling of the MMC
Chapter x 7
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6.1.3 Approximate calculation of the MMC models with the
pMp approach
6.1.4 Equivalent DBD based on MC
6.1.5 Results
6.2 Example 6.2: Mix of s-dependencies
6.2.1 Precise modeling of the MMC and the system up and
down state
6.2.2 Approximate modeling of the MMC
6.2.3 Approximate calculation of the MMC models with the
pMp approach
6.2.4 Equivalent DBD based on MC
6.2.5 Results
7 Example 7: 1-out-of-4 (1oo4)
7.1 Precise modeling of the MMC and the system up and down
state
7.2 Approximate calculation of the MMC models with the pMp
approach
7.3 Equivalent DBD based on MC
7.4 Results
8 Con
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