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Table 12 Expected profit in the presence of both Copula and Fault tolerance factor (\(C=0.5)\)

From: Availability and cost–benefit analysis of a fault tolerant series–parallel system with human-robotic operators

Time

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.06}\)

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.05}\)

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.04}\)

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.03}\)

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.02}\)

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{F}_{\boldsymbol{2}}=\boldsymbol{0.01}\)

\(\boldsymbol {C=0.5}\)

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9260

0.9360

0.9460

0.9560

0.9660

0.9760

2

1.8458

1.8658

1.8858

1.9058

1.9258

1.9458

3

2.7653

2.7953

2.8253

2.8553

2.8853

2.9153

4

3.6841

3.7241

3.7641

3.8041

3.8441

3.8841

5

4.6016

4.6516

4.7016

4.7516

4.8016

4.8516

6

5.5171

5.5771

5.6371

5.6971

5.7571

5.8171

7

6.4297

6.4997

6.5697

6.6397

6.7097

6.7797

8

7.3317

7.4117

7.4917

7.5717

7.6517

7.7317

9

8.2417

8.3417

8.4417

8.5417

8.6417

8.7417

10

8.8417

8.9417

9.0417

9.1417

9.2417

9.3417