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Table 13 Expected profit in the presence of both Copula and Fault tolerance factor (\(C=0.9)\)

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

Time

\(\boldsymbol{{E}_{p}(t)}\)  

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

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.05}\)  

\(\boldsymbol {C=0.9}\)  

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol {{F}_{2}=0.04}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.03}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.02}\)  

\(\boldsymbol {C=0.9}\)

\(\boldsymbol{{E}_{p}(t)}\)  

\(\boldsymbol{{F}_{2}=0.01}\)  

\(\boldsymbol {C=0.9}\)

0

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.9153

0.9253

0.9353

0.9453

0.9553

0.9653

2

1.8201

1.8401

1.8601

1.8801

1.9001

1.9201

3

2.7237

2.7537

2.7837

2.8137

2.8437

2.8737

4

3.6247

3.6647

3.7047

3.7447

3.7847

3.8247

5

4.5213

4.5713

4.6213

4.6713

4.7213

4.7713

6

5.4118

5.4718

5.5318

5.5918

5.6518

5.7118

7

6.2944

6.3644

6.4344

6.5044

6.5744

6.6444

8

7.1604

7.2404

7.3204

7.4004

7.4804

7.5604

9

8.0204

8.1204

8.2204

8.3204

8.4204

8.5204

10

8.8804

8.9904

9.1004

9.2104

9.3204

9.4304