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Table 9 Expected profit in the presence of Fault tolerance factor and in the absence of Copula (\(C=0.5)\)

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

Time

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.06}\)  

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.05}\)  

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.04}\)  

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.03}\)  

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.02}\)  

\(\boldsymbol {C=0.5}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.01}\)  

\(\boldsymbol {C=0.5}\)

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9185

0.9285

0.9385

0.9485

0.9585

0.9685

2

1.8151

1.8351

1.8551

1.8751

1.8951

1.9151

3

2.7044

2.7344

2.7644

2.7944

2.8244

2.8544

4

3.5912

3.6312

3.6712

3.7112

3.7512

3.7912

5

4.4766

4.5266

4.5766

4.6266

4.6766

4.7266

6

5.3607

5.4207

5.4807

5.5407

5.6007

5.6607

7

6.2429

6.3129

6.3829

6.4529

6.5229

6.5929

8

7.1228

7.2028

7.2828

7.3628

7.4428

7.5228

9

8.0000

8.0900

8.1800

8.2700

8.3600

8.4500

10

8.8739

8.9739

9.0739

9.1739

9.2739

9.3739