The guidance system of a ship is controlled by a computer that has three major m

ID: 414810 • Letter: T

Question

The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of .95, and the other has a reliability of .92. Reliability of the computer is .8303. 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.

What is the reliability?

If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .96, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.)

What is the reliability?

Explanation / Answer

Q1) As the backup computer works only if the main computer fails, we need to calculate the reliability based on the below scenario -

Reliability = Probability that main compuer works + Probability that main computer fails * Probability that backup computer works =

0.8303 +(1-0.8303)*0.8303 = 0.9712

Q2) Overall Reliability considering both switch and backup computer = Probability that main computer works+Probability that main computer fails and backup computer works with switch

= 0.8303+(1-0.8303)*0.8303*0.96 = 0.9656

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The guidance system of a ship is controlled by a computer that has three major m

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