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Table 8 Expected profit in the presence of Fault tolerance factor and in the absence of Copula (\(C=0.1)\)

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

Time

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol {{F}_{2}=0.06}\)  

\(\boldsymbol {C=0.1}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.05}\)  

\(\boldsymbol {C=0.1}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.04}\)  

\(\boldsymbol {C=0.1}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.03}\)  

\(\boldsymbol {C=0.1}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.02}\)  

\(\boldsymbol {C=0.1}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.01}\)  

\(\boldsymbol {C=0.1}\)

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9356

0.9456

0.9556

0.9656

0.9756

0.9856

2

1.8666

1.8866

1.9066

1.9266

1.9466

1.9666

3

2.7959

2.8259

2.8859

2.8859

2.9159

2.9459

4

3.7247

3.7647

3.8047

3.8447

3.8847

3.9247

5

4.6533

4.7033

4.7533

4.8033

4.8533

4.9033

6

5.5819

5.6419

5.6419

5.7619

5.8219

5.8819

7

6.5104

6.5804

6.5804

6.7204

6.7904

6.8604

8

7.4389

7.5189

7.5189

7.6789

7.7589

7.8389

9

8.3673

8.4573

8.4573

8.6373

8.7273

8.8173

10

9.2957

9.3957

9.4957

9.5957

9.6957

9.7957