The guiding system of a ship is controlled by a computer that has three major mo
ID: 3047842 • Letter: T
Question
The guiding system of a ship is controlled by a computer that has three major modules. For the computer to function properly, all three modules must function. Two of the modules have reliabilities of 0.90 and the other has a reliability of 0.96.
(a) What is the reliability of the computer?
(b) A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability.
(c) If the backup computer must be activated by a switch if the first computer and the switch has a reliability of 0.98, what is the overall reliability of the system? (Both the backup computer and the switch must function for the backup to takeover).
Explanation / Answer
Solution :
a) 0.96^2 * 0.98 = 0.9032
b) 0.9032^2 = 0.8157
c) 0.9832 * 0.98 * 0.9832 = 0.9473
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