Lf the backup computer must be tivated by a switch in the


Prablem 1

The guidance system of a ship is contrdled by a computer that has three major modules. ln order for the computer to function properly, dl thrce modules must function. Two of the modules have reliabilities of .94, and the other has a  reliability of .97.

a. What is the reliability of the computer

b. A backup computer identicd to the one beirg used will be installed to improve overall reliability. Assuming the ner,v comsrter autsndicdly functims if the main one fails, determine the resulting.

c. lf the backup computer must be *tivated by a switch in the event that the first computer fails, and the switch has a reliability of .98, what is the overall reliability of the systern? Both the switch and the backup computer must function in oder for the backup to take over.

Problem 2

Determine the availability for each of these cases-

a. MTBF = 55 days, avefiage repair time = 7 days.

b. MTBF = 330 hours, avemge repair time = 4 hours.

Problem 3

A manager must decide between two machines. The manager will take inio account each machine's operating costs and initiai costs. and its breakdown and repair times. Machine A has a projected average operating time of 130 hours and a prolected average repair time of 11 hours. Projected times formachine B are an average operating time of 54 l-rcurs and a repair tinre of 2 hours. What are the prolected availabilities of each machine?

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