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Table 10 Expected profit in the presence of Fault tolerance factor and in the absence of Copula (\(C=0.9)\)

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

Time

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.06}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.05}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.04}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.03}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.02}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.01}\)  

\(\boldsymbol {C=0.9}\)

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9021

0.9121

0.9221

0.9321

0.9421

0.9521

2

1.7669

1.7869

1.8069

1.8269

1.8469

1.8669

3

2.6201

2.6501

2.6801

2.7101

2.7401

2.7701

4

3.4688

3.5088

3.5488

3.5888

3.6288

3.6688

5

4.3142

4.3642

4.4142

4.4642

4.5142

4.5642

6

5.1555

5.2155

5.2755

5.3355

5.3955

5.4555

7

5.9915

6.0615

6.1315

6.2015

6.2715

6.3415

8

6.8208

7.9008

6.9808

7.0608

7.1408

7.2208

9

7.6423

7.7323

7.8223

7.9123

8.0023

8.0923

10

8.4547

8.5547

8.6547

8.7547

8.8547

8.9547