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Table 7 Expected profit in the presence of Copula and in the absence of Fault tolerance factor

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

Time

\(\boldsymbol{{E}_{p}(t)}\)  

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

\(\boldsymbol{E}_{\boldsymbol{p}}\boldsymbol{(t)}\)  

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

\(\boldsymbol{E}_{\boldsymbol{p}}\boldsymbol{(t)}\)  

\(\boldsymbol{{F}_{2}=0.04}\)  

\(\boldsymbol{E}_{\boldsymbol{p}}\boldsymbol{(t)}\)  

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

\(\boldsymbol{E}_{\boldsymbol{p}}\boldsymbol{(t)}\)  

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

\(\boldsymbol{E}_{\boldsymbol{p}}\boldsymbol{(t)}\)  

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

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9127

0.9227

0.9327

0.9427

0.9527

0.9627

2

1.8138

1.8338

1.8538

1.8738

1.8938

1.9138

3

2.7136

2.7436

2.7736

2.8036

2.8336

2.8636

4

3.6101

3.6501

3.6901

3.7301

3.7701

3.8101

5

4.5012

4.5512

4.6012

4.6512

4.7012

4.7512

6

5.3848

5.4448

5.5048

5.5648

5.6248

5.6848

7

6.2595

6.3295

6.3995

6.4695

6.5395

6.6095

8

7.1255

7.2055

7.2855

7.3655

7.4455

7.5255

9

7.6955

7.7855

7.8755

7.9655

8.0555

8.1455

10

8.6340

8.7340

8.8340

8.9340

9.0340

9.1340