For the following system, perform the following two tasks: Derive the system rel

Question

For the following system, perform the following two tasks: Derive the system reliability R_s as a function of R_1, R_2, R_3, R_4. Assume that there are four interchangeable components with reliability p_1 = 0.90, p_2 = 0.95, p_3 = 0.99, and p_4 = 0.925, respectively. Write an optimization model to assign the four components to the four positions in the system to maximize the system reliability. Solve the model to find the optimal assignment. You may use any software package to optimize your model. Compare your solution to the optimal assignment obtained by enumeration.

Explanation / Answer

1)

Rs=((R1*R2)+(R1*R3)+R3)*R4

2)

use MATLAB ,BLOCKSIM

p=(((.9*.95)+(.9*.99)+(.99))/3)*.925

system reliability=p=.843

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